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  • Engineering  (3,947)
  • 2015-2019  (40)
  • 1995-1999  (2,961)
  • 1975-1979  (946)
  • 1
    Unknown
    Digitale Souveränität : Bürger / Unternehmen / Staat (2017)
    Berlin, Heidelberg : Springer Vieweg
    Details
    Keywords: Engineering ; Humanities ; Digital libraries ; Educational technology ; Electrical engineering ; Engineering ; Communications Engineering, Networks ; Digital Humanities ; Technology and Digital Education
    Description / Table of Contents: Vorwort --- Einleitung --- Bürger --- Wenn Bots sich unter Leute mischen: Social Bots in den Sozialen Medien --- Digitale Partizipation in Wissenschaft und Wirtschaft --- Entwicklung einer soziodigitalen Souveränität --- Unternehmen --- Digitale Souveränität – ein mehrdimensionales Handlungskonzept für die deutsche Wirtschaft --- Privatheit und digitale Souveränität in der Arbeitswelt 4.0 --- Staat --- Mehr Daten, weniger Vertrauen in Statistik – freie Fahrt für ‚alternative Fakten‘? --- Internationale Perspektiven auf digitale Souveränität --- Digitalisierung der Bildung als staatliche Aufgabe --- Ausblick
    Pages: Online-Ressource (IX, 187 Seiten) , 40 Abbildungen in Farbe
    ISBN: 9783662557969
    URL: https://link.springer.com/openurl?genre=book&isbn=978-3-662-55796-9
    Language: German
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  • 2
    Unknown
    Digitale Souveränität : Bürger / Unternehmen / Staat (2017)
    Berlin, Heidelberg : Springer Vieweg
    Details
    Keywords: Engineering ; Humanities ; Digital libraries ; Educational technology ; Electrical engineering ; Engineering ; Communications Engineering, Networks ; Digital Humanities ; Technology and Digital Education
    Description / Table of Contents: Vorwort --- Einleitung --- Bürger --- Wenn Bots sich unter Leute mischen: Social Bots in den Sozialen Medien --- Digitale Partizipation in Wissenschaft und Wirtschaft --- Entwicklung einer soziodigitalen Souveränität --- Unternehmen --- Digitale Souveränität – ein mehrdimensionales Handlungskonzept für die deutsche Wirtschaft --- Privatheit und digitale Souveränität in der Arbeitswelt 4.0 --- Staat --- Mehr Daten, weniger Vertrauen in Statistik – freie Fahrt für ‚alternative Fakten‘? --- Internationale Perspektiven auf digitale Souveränität --- Digitalisierung der Bildung als staatliche Aufgabe --- Ausblick
    Pages: Online-Ressource (IX, 187 Seiten) , 40 Abbildungen in Farbe
    ISBN: 9783662557969
    URL: https://link.springer.com/openurl?genre=book&isbn=978-3-662-55796-9
    Language: German
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  • 3
    Unknown
    Zukunft der Arbeit – Eine praxisnahe Betrachtung (2018)
    Berlin, Heidelberg : Springer Vieweg
    Details
    Keywords: Engineering ; Robotics ; Automation ; Industrial engineering ; Production engineering ; Economic sociology ; Engineering ; Industrial and Production Engineering ; Organizational Studies, Economic Sociology ; Robotics and Automation
    Description / Table of Contents: Einleitung --- Prognostizierte Veränderungen der gestaltbaren Arbeitssystemdimensionen --- Systeme zur Assistenz und Effizienzsteigerung in manuellen Produktionsprozessen der Industrie auf Basis von Projektion und Tiefendatenerkennung --- Betriebliche Auswirkungen industrieller Servicerobotik am Beispiel der Kleinteilemontage --- Erweiterte Horizonte – Ein technischer Blick in die Zukunft der Arbeit --- Soziotechnische Assistenzsysteme für die Produktionsarbeit in der Textilbranche --- Lernförderliche Arbeitssysteme für die Arbeitswelt von morgen --- Assistenz und Wissensvermittlung am Beispiel von Montage- und Instandhaltungstätigkeiten --- Der Mensch in Interaktion mit autonomen Planungs- und Steuerungssystemen für Cyber-Physische Produktionssysteme --- ReApp – Wiederverwendbare Roboterapplikationen für flexible Roboteranlagen - Auswirkungen der Ergebnisse aus ReApp auf betriebliche Funktionen am Beispiel eines Anwendungsfalls in der Elektroindustrie --- Modellierungsansatz für ein arbeitsplatznahes Beschreibungsmodell der »Arbeitswelt Industrie 4.0 --- Die Zukunft der Arbeit im demografischen Wandel --- “Social Manufacturing and Logistics“ – Arbeit in der digitalisierten Produktion --- Lernförderliche Arbeitsorganisation in der Industrie 4.0 --- Decision Support Pipelines – Durchgängige Datenverarbeitungsinfrastrukturen für die Entscheidungen von morgen --- Gerechtigkeit in flexiblen Arbeits- und Managementprozessen --- Technologie, Organisation, Qualifikation
    Pages: Online-Ressource (XI, 246 Seiten) , 62 Abbildungen, 56 Abbildungen in Farbe
    ISBN: 9783662492666
    URL: https://link.springer.com/openurl?genre=book&isbn=978-3-662-49266-6
    Language: German
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  • 4
    Unknown
    Digitalisierung : Bildung / Technik / Innovation (2017)
    Berlin, Heidelberg : Springer Vieweg
    Details
    Keywords: Engineering ; Humanities ; Digital libraries ; Computers ; Educational technology ; Electrical engineering ; Engineering ; Communications Engineering, Networks ; Information Systems and Communication Service ; Digital Humanities ; Technology and Digital Education
    Description / Table of Contents: Seit Jahren wird unser Alltag geprägt von zunehmender Automation und Vernetzung, die Digitalisierung genannt wird. Sensoren erfassen immer mehr unterschiedliche Daten und werden von intelligenten Algorithmen zunehmend präzisier analysiert. Dies führt nicht nur zu einem anderen Verhältnis im Umgang und bei der Nutzung von Daten durch Menschen und Maschinen, sondern wird auch dramatisch Aufgaben und Prozesse verändern. Die damit verbundenen Arbeitsanforderungen werden zum massiven Wandel von Berufsbildern führen, in dem einfache Tätigkeiten automatisiert und komplexe Tätigkeiten vereinfacht werden. Nicht nur das Arbeiten sondern auch das Lernen, Lehren und Forschen verändert sich durch die Digitalisierung. Die technischen Möglichkeiten wandeln die Lebenswelten mit ihren urbanen Versorgungs- und Infrastrukturen und eröffnen den Wirtschaftsräumen neue Geschäftsmodelle. Diese parallel einsetzenden Entwicklungen führen zu radikalen Umbrüchen, die in den kommenden Jahren sämtliche Aspekte der Gesellschaft verändern werden
    Pages: Online-Ressource (IX, 199 Seiten)
    ISBN: 9783662528549
    URL: https://link.springer.com/openurl?genre=book&isbn=978-3-662-52854-9
    Language: German
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  • 5
    Unknown
    Advancing Culture of Living with Landslides : Volume 1 ISDR-ICL Sendai Partnerships 2015-2025 (2017)
    Cham : Springer
    Details
    Keywords: Earth sciences ; Natural disasters ; Engineering geology ; Engineering ; Geology ; Foundations ; Hydraulics ; Sustainable development ; Earth Sciences ; Natural Hazards ; Geoengineering, Foundations, Hydraulics ; Sustainable Development
    Description / Table of Contents: ISDR-ICL Sendai Partnerships 2015-2025 --- The ISDR-ICL Sendai Partnerships 2015-2025: Background and Content --- Forum lectures --- Rupestrian world heritage sites: Instability investigation and sustainable mitigation --- Subaerial landslide-generated waves: Numerical and laboratory simulations --- Rockfall occurrence and fragmentation --- Contribution from signatory organizations of the Sendai Partnerships --- International Consortium on Landslides (ICL) --- International Consortium on Landslides (ICL) - The proposing organization of the ISDR-ICL Sendai partnerships 2015-2025 --- United Nations Office for Disaster Risk Reduction (UNISDR) --- UNISDR‘s Contribution to Science and Technology for Disaster Risk Reduction and the Role of the International Consortium on Landslides (ICL) --- United Nations Educational, Scientific and Cultural Organization (UNESCO) --- UNESCO’s Contribution to the Implementation of UNISDR’s Global Initiative and ICL --- United Nations University (UNU) --- The United Nations University: Research and Policy Support for Environmental Risk Reduction --- World Meteorological Organization (WMO) --- Concerted International Efforts for Advancing Multi-Hazard Early Warning Systems --- International Council for Science (ICSU) --- On Future Challenges for the Integration of Science into International Policy Development for Landslide Disaster Risk Reduction --- World Federation of Engineering Organizations (WFEO) --- World Federation of Engineering Organizations Activities in Disaster Risk Reduction --- Disaster Prevention Research Institute (DPRI), Kyoto University --- National Civil Protection Department, Italian Presidency of the Council of Ministers, Government of Italy --- Understanding and Reducing Landslide Disaster Risk: Challenges and Opportunities for Italian Civil Protection --- Landslide Dynamics: ISDR-ICL Landslide Interactive Teaching Tools (LITT) --- Progress of the World Report on Landslides --- International Programme on Landslides (IPL): Objectives, History and List of World Centres of Excellence and IPL Projects --- UNESCO-KU-ICL UNITWIN Cooperation Programme for Landslides and Water-Related Disaster Risk Management. Landslides: Journal of the International Consortium on Landslides --- IPL Activities --- Advanced Technologies for Landslides (WCoE 2014-2017, IPL-196, IPL-198) --- Mechanisms of Landslides and Creep in Over-Consolidated Clays and Flysch (WCoE 2014-2017 --- Research on Heavy-Rainfall-Induced and Hydraulic-Driven Geological Hazards in China (WCoE 2014-2017). Landslide Risk Reduction in Croatia: Scientific research in the framework of the WCoE 2014-2017, IPL-173, IPL-184, ICL ABN --- Shapes and Mechanisms of Large-scale Landslides in Japan: Forecasting Analysis from an Inventory (WCoE 2014–2017 --- Retrospective and Prospects for Cold Regions Landslide Research (2012-2016) (WCoE 2014-2017, IPL-132, IPL-167, IPL-203, CRLN --- Large-scale Rockslide Inventories: from the Kokomeren River Basin to the Entire Central Asia Region (WCoE 2014-2017, IPL-106-2) --- Interventions for Promoting Knowledge, Innovations and Landslide Risk Management Practices within South and Southeast Asia (WCoE 2014-2017) --- Promoting a Global Standard for Community-based Landslide Early Warning Systems (WCoE 2014-2017, IPL-158, IPL-165) --- Model Policy Frameworks, Standards and Guidelines on Landslide Disaster Reduction (WCoE 2014-2017) --- Landslide Hazard and Risk Management (WCoE 2014-2017) --- Mitigation of Landslide Hazards in Ukraine under the Guidance of ICL: 2009–2016 (IPL-153, IPL-191) --- Development of a Hazard Evaluation Technique for Earthquake-Induced Landslides Based on an Analytic Hierarchy Process (AHP) (IPL-154) --- The Croatian-Japanese SATREPS Joint Research Project on Landslides (IPL-161)
    Pages: Online-Ressource (XXVI, 586 pages) , 372 illustrations, 350 illustrations in color
    ISBN: 9783319594699
    URL: https://link.springer.com/openurl?genre=book&isbn=978-3-319-59469-9
    Language: English
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  • 6
    Unknown
    Digitalisierung : Bildung / Technik / Innovation (2017)
    Berlin, Heidelberg : Springer Vieweg
    Details
    Keywords: Engineering ; Humanities ; Digital libraries ; Computers ; Educational technology ; Electrical engineering ; Engineering ; Communications Engineering, Networks ; Information Systems and Communication Service ; Digital Humanities ; Technology and Digital Education
    Description / Table of Contents: Seit Jahren wird unser Alltag geprägt von zunehmender Automation und Vernetzung, die Digitalisierung genannt wird. Sensoren erfassen immer mehr unterschiedliche Daten und werden von intelligenten Algorithmen zunehmend präzisier analysiert. Dies führt nicht nur zu einem anderen Verhältnis im Umgang und bei der Nutzung von Daten durch Menschen und Maschinen, sondern wird auch dramatisch Aufgaben und Prozesse verändern. Die damit verbundenen Arbeitsanforderungen werden zum massiven Wandel von Berufsbildern führen, in dem einfache Tätigkeiten automatisiert und komplexe Tätigkeiten vereinfacht werden. Nicht nur das Arbeiten sondern auch das Lernen, Lehren und Forschen verändert sich durch die Digitalisierung. Die technischen Möglichkeiten wandeln die Lebenswelten mit ihren urbanen Versorgungs- und Infrastrukturen und eröffnen den Wirtschaftsräumen neue Geschäftsmodelle. Diese parallel einsetzenden Entwicklungen führen zu radikalen Umbrüchen, die in den kommenden Jahren sämtliche Aspekte der Gesellschaft verändern werden
    Pages: Online-Ressource (IX, 199 Seiten)
    ISBN: 9783662528549
    URL: https://link.springer.com/openurl?genre=book&isbn=978-3-662-52854-9
    Language: German
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  • 7
    Unknown
    Zukunft der Arbeit in Industrie 4.0 (2015)
    Berlin, Heidelberg : Springer Vieweg
    Details
    Keywords: Engineering ; Robotics ; Automation ; Industrial engineering ; Production engineering ; Engineering economics ; Engineering economy ; Manufacturing industries ; Machines ; Tools ; Engineering ; Industrial and Production Engineering ; Robotics and Automation ; Engineering Economics, Organization, Logistics, Marketing ; Manufacturing, Machines, Tools ; Information Systems Applications (incl. Internet)
    Description / Table of Contents: Einordnung und Hintergründe --- Positionen der Sozialpartner --- Erfahrungen und Herausforderungen in der Industrie --- Forschungsfragen und Entwicklungsstrategien --- Ausblick
    Pages: Online-Ressource (VIII, 167 Seiten) , 38 Abbildungen
    ISBN: 9783662459157
    URL: https://link.springer.com/openurl?genre=book&isbn=978-3-662-45915-7
    Language: German
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  • 8
    Unknown
    Autonomes Fahren : Technische, rechtliche und gesellschaftliche Aspekte (2015)
    Berlin, Heidelberg : Springer Vieweg
    Details
    Keywords: Engineering ; Commercial law ; Automotive engineering ; Robotics ; Automation ; Community psychology ; Environmental psychology ; Engineering ; Automotive Engineering ; Robotics and Automation ; Community and Environmental Psychology ; Commercial Law
    Description / Table of Contents: Teil I Human and Machine --- Teil II Mobilität --- Teil III Verkehr --- Teil IV Sicherheit --- Teil V Recht und Haftung --- Teil VI Akzeptanz
    Pages: Online-Ressource (XIV, 732 Seiten)
    ISBN: 9783662458549
    URL: https://link.springer.com/openurl?genre=book&isbn=978-3-662-45854-9
    Language: German
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  • 9
    Unknown
    Proceedings of the International Conference on Social Modeling and Simulation, plus Econophysics Colloquium 2014 (2015)
    Cham : Springer
    Details
    Keywords: Engineering ; Computer simulation ; Economic theory ; Data-driven Science, Modeling and Theory Building ; Complexity ; Simulation and Modeling ; Applications of Graph Theory and Complex Networks ; Economic Theory/Quantitative Economics/Mathematical Methods
    Description / Table of Contents: Chapter 1 Financial Market --- Influence Networks in the Foreign Exchange Market --- Entropy and Transfer Entropy: The Dow Jones and the build up to the 1997 Asian Crisis --- Execution and Cancellation Lifetimes in Foreign Currency Market --- Signs of market orders and human dynamics --- Damped oscillatory behaviors in the ratios of stock market indices --- Exploring Market Making Strategy for High Frequency Trading: an Agent-based Approach --- Effect of Cancel Order on Simple Stochastic Order-Book Model --- Chapter 2 Robustness and Fragility --- Cascading failures in interdependent economic networks --- Do connections make systems robust?: a new scenario for the complexity-stability relation --- Simulation of Gross Domestic Product in International Trade Networks: Linear Gravity Transportation Model --- Analysis of Network Robustness for a Japanese Business Relation Network by Percolation Simulation.- Detectability threshold of the spectral method for graph partitioning.- Spread of Infectious Diseases with a Latent Period.-Chapter 3 Interaction and Distribution --- Geographic Dependency of Population Distribution- Spatiotemporal Analysis of Influenza Epidemics in Japan --- A Universal Lifetime Distribution for Multi-Species Systems --- Firm Age Distributions and the Decay Rate of Firm Activities --- Empirical Analysis of Firm-Dynamics on Japanese Inter-firm trade Network --- Direct participants’ behavior through the lens of transactional analysis: the case of SPEI --- Chapter 4 Traffic and Pedestrian --- Pedestrian Dynamics in Jamology --- Qualitative Methods of Validating Evacuation Behaviors --- Collective dynamics of pedestrians with no fixed destination --- Traffic Simulation of Kobe-city --- MOSAIIC: city-level agent-based traffic simulation adapted to emergency situations --- GUI for Agent Based Modeling --- Chapter 5 Social Media --- Emotional Changes in Japanese Blog Space Resulting from the 3.11 Earthquake --- Modeling of ENJYO via process of consensus formation on SNS --- A network structure of emotional interactions in an electronic bulletin board --- Scale-free network topologies with clustering similar to online social networks --- Identifying Colors of Products and Associated Personalized Recommendation Engine in e-Fashion Business
    Pages: Online-Ressource (IX, 346 pages)
    ISBN: 9783319205915
    URL: https://link.springer.com/openurl?genre=book&isbn=978-3-319-20591-5
    Language: English
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  • 10
    Unknown
    Advancing Culture of Living with Landslides : Volume 1 ISDR-ICL Sendai Partnerships 2015-2025 (2017)
    Cham : Springer
    Details
    Keywords: Earth sciences ; Natural disasters ; Engineering geology ; Engineering ; Geology ; Foundations ; Hydraulics ; Sustainable development ; Earth Sciences ; Natural Hazards ; Geoengineering, Foundations, Hydraulics ; Sustainable Development
    Description / Table of Contents: ISDR-ICL Sendai Partnerships 2015-2025 --- The ISDR-ICL Sendai Partnerships 2015-2025: Background and Content --- Forum lectures --- Rupestrian world heritage sites: Instability investigation and sustainable mitigation --- Subaerial landslide-generated waves: Numerical and laboratory simulations --- Rockfall occurrence and fragmentation --- Contribution from signatory organizations of the Sendai Partnerships --- International Consortium on Landslides (ICL) --- International Consortium on Landslides (ICL) - The proposing organization of the ISDR-ICL Sendai partnerships 2015-2025 --- United Nations Office for Disaster Risk Reduction (UNISDR) --- UNISDR‘s Contribution to Science and Technology for Disaster Risk Reduction and the Role of the International Consortium on Landslides (ICL) --- United Nations Educational, Scientific and Cultural Organization (UNESCO) --- UNESCO’s Contribution to the Implementation of UNISDR’s Global Initiative and ICL --- United Nations University (UNU) --- The United Nations University: Research and Policy Support for Environmental Risk Reduction --- World Meteorological Organization (WMO) --- Concerted International Efforts for Advancing Multi-Hazard Early Warning Systems --- International Council for Science (ICSU) --- On Future Challenges for the Integration of Science into International Policy Development for Landslide Disaster Risk Reduction --- World Federation of Engineering Organizations (WFEO) --- World Federation of Engineering Organizations Activities in Disaster Risk Reduction --- Disaster Prevention Research Institute (DPRI), Kyoto University --- National Civil Protection Department, Italian Presidency of the Council of Ministers, Government of Italy --- Understanding and Reducing Landslide Disaster Risk: Challenges and Opportunities for Italian Civil Protection --- Landslide Dynamics: ISDR-ICL Landslide Interactive Teaching Tools (LITT) --- Progress of the World Report on Landslides --- International Programme on Landslides (IPL): Objectives, History and List of World Centres of Excellence and IPL Projects --- UNESCO-KU-ICL UNITWIN Cooperation Programme for Landslides and Water-Related Disaster Risk Management. Landslides: Journal of the International Consortium on Landslides --- IPL Activities --- Advanced Technologies for Landslides (WCoE 2014-2017, IPL-196, IPL-198) --- Mechanisms of Landslides and Creep in Over-Consolidated Clays and Flysch (WCoE 2014-2017 --- Research on Heavy-Rainfall-Induced and Hydraulic-Driven Geological Hazards in China (WCoE 2014-2017). Landslide Risk Reduction in Croatia: Scientific research in the framework of the WCoE 2014-2017, IPL-173, IPL-184, ICL ABN --- Shapes and Mechanisms of Large-scale Landslides in Japan: Forecasting Analysis from an Inventory (WCoE 2014–2017 --- Retrospective and Prospects for Cold Regions Landslide Research (2012-2016) (WCoE 2014-2017, IPL-132, IPL-167, IPL-203, CRLN --- Large-scale Rockslide Inventories: from the Kokomeren River Basin to the Entire Central Asia Region (WCoE 2014-2017, IPL-106-2) --- Interventions for Promoting Knowledge, Innovations and Landslide Risk Management Practices within South and Southeast Asia (WCoE 2014-2017) --- Promoting a Global Standard for Community-based Landslide Early Warning Systems (WCoE 2014-2017, IPL-158, IPL-165) --- Model Policy Frameworks, Standards and Guidelines on Landslide Disaster Reduction (WCoE 2014-2017) --- Landslide Hazard and Risk Management (WCoE 2014-2017) --- Mitigation of Landslide Hazards in Ukraine under the Guidance of ICL: 2009–2016 (IPL-153, IPL-191) --- Development of a Hazard Evaluation Technique for Earthquake-Induced Landslides Based on an Analytic Hierarchy Process (AHP) (IPL-154) --- The Croatian-Japanese SATREPS Joint Research Project on Landslides (IPL-161)
    Pages: Online-Ressource (XXVI, 586 pages) , 372 illustrations, 350 illustrations in color
    ISBN: 9783319594699
    URL: https://link.springer.com/openurl?genre=book&isbn=978-3-319-59469-9
    Language: English
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  • 11
    Unknown
    Think Big, Start Small : StreetScooter die e-mobile erfolgsstory: Innovationsprozesse radikal effizienter (2017)
    Berlin, Heidelberg : Springer Vieweg
    Details
    Keywords: Engineering ; Project management ; Engineering design ; Automotive Engineering ; Project Management ; Engineering Design
    Description / Table of Contents: A - Die Entwicklung: Drei Erfolgsstories --- Die StreetScooter-Gründer-Story --- Die StreetScooter-Meilensteine 2008-2017 --- Die StreetScooter-Entwicklungsstory --- Die StreetScooter-Protagonisten-Story --- B - Die Lösung: Return on Engineering: Die StreetScooter-Lösungsbausteine. C - Die Perspektive: Die StreetScooter-Netzwerk-Story --- Die StreetScooter-Produktions-Story --- Die StreetScooter-Post-Story --- Die StreetScooter-Mobilitätslösung --- Die StreetScooter-Vision. A - The Development: Three Stories of Success --- The StreetScooter Founder Story --- The StreetScooter Milestones 2008-2017 --- The StreetScooter Development Story --- The StreetScooter Protagonists Story --- B - The Solution: Return on Engineering: The StreetScooter Building Blocks --- C - The Perspective: The StreetScooter Network Story --- The StreetScooter Production Story --- The StreetScooter Post Story --- The StreetScooter Mobility Solution --- The StreetScooter Vision
    Pages: Online-Ressource (VII, 213 Seiten)
    ISBN: 9783662549971
    URL: https://link.springer.com/openurl?genre=book&isbn=978-3-662-54997-1
    Language: German
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  • 12
    Electronic Resource
    Electronic Resource
    Cubic spline Galerkin approximations to parabolic systems with coupled non-linear boundary conditionsThis work was supported by the Rockwell International IR and D Interdivisional Technology Program under the sponsorship of the Mathematics and Statistics Technological Panel. (1975)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 9 (1975), S. 63-71 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: This paper describes a practical implementation of the Galerkin finite element procedure for solving systems of parabolic partial differential equations with non-linear boundary conditions. This technique consists of finding an approximation in the form of a finite sum of cubic B-splines, which yield high-order accurate results, and consequently, solutions can be developed with remarkable precision and speed up to the steady state region where conventional finite difference methods often fail. In addition, the choice of mesh width and nodal spacing can be automatically determined for a predictor-corrector routine, thereby relieving the engineer of a great deal of ‘guess work’ that is normally characteristic of solving such problems.
    Additional Material: 3 Tab.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620090106
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  • 13
    Electronic Resource
    Electronic Resource
    Structural optimization using the finite element method applied to a beam (1975)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 9 (1975), S. 101-107 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The optimum profile of a beam is obtained by using finite elements with mathematical programming techniques. Beam profiles of preceding studies can be diplicated by the finite element method with the appropriate choice of numerical tolerance used in the convergence test.
    Additional Material: 3 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620090109
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  • 14
    Electronic Resource
    Electronic Resource
    Solution of generalized geometric programs (1975)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 9 (1975), S. 149-168 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A cutting plane algorithm for the solution of generalized geometric programs with bounded variables is described and then illustrated by the detailed solution of a small numerical example. Convergence of this algorithm to a Kuhn-Tucker point of the program is assured if an initial feasible solution is available to initiate the algorithm. An algorithm for determining a feasible solution to a set of generalized posynomial inequalities which may be used to find a global minimum to the program as well as test for consistency of the constraint set, is also presented. Finally an application in optimal engineering design with seven variables and fourteen non-linear inequality constraints is formulated and solved.
    Additional Material: 2 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620090112
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  • 15
    Electronic Resource
    Electronic Resource
    The direct numerical integration of linear matrix differential equations using pade approximations (1975)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 9 (1975), S. 259-270 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A class of approximations to the matrix linear differential equation is presented. The approximations range, in accuracy, from the simplest forward difference scheme to the exact solution. The infinite series defining the exponential matrix is used to ascertain the accuracy of the various approximations. A clear distinction is made between approximations to the system equations and the forcing function, with the forcing term being represented by a piecewise linear function. Special application is given to the equations arising in structural dynamics of the form For these structural dynamic equations, the measure of the energy of the system is used to analyse the stability of the numerical approximations.
    Additional Material: 3 Tab.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620090202
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  • 16
    Electronic Resource
    Electronic Resource
    Three-dimensional elasto-plastic finite element analysis (1975)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 9 (1975), S. 209-218 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: Advances in technology and interest in limit state design have made the inclusion of non-linear effects, such as elasto-plastic behaviour, desirable in the analysis of many structures. Improvements in solution algorithms coupled with parallel developments in high speed digital computers have now made the practical solution of such problems possible. The paper presents numerical solutions to three-dimensional elasto-plastic problems illustrating the applicability of isoparametric elements and the order of computation times involved.
    Additional Material: 6 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620090115
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  • 17
    Electronic Resource
    Electronic Resource
    A note on the cylindrical shell finite element (1975)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 9 (1975), S. 245-250 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Additional Material: 1 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620090119
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  • 18
    Electronic Resource
    Electronic Resource
    Solution of stiff boundary value problems by orthogonal collocation (1975)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 9 (1975), S. 691-699 
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    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The utility of the method of orthogonal collocation for solving stiff boundary value problems is investigated. To this end, the method is applied to a number of very stiff problems from the engineering and applied mathematics literature. The examples include both linear and non-linear problems defined on both finite and infinite intervals, a singular perturbation problem, and an inherently unstable problem. The examples demonstrate the usefulness of the method for a wide variety of stiff problems, as well as some of its limitations.
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    URL: http://dx.doi.org/10.1002/nme.1620090315
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    A boundary integral solution to torsion of cylinders and solids of revolution (1975)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 9 (1975), S. 461-476 
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    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The boundary integral equation known as Green's Theorem has been solved to generate displacement and stress fields directly on the boundary for cylinders and solids of revolution in pure elastic torsion. The computer programs which effect the solution utilize conventional numerical methods and discrete analytical elemental integrations and are applicable to multiply-connected shapes. The integral equation has been differentiated in each case, so that internal stresses may be generated directly, where required.Computed results are compared with analytical solutions and with experimental evidence produced by photoelastic techniques.
    Additional Material: 12 Ill.
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    URL: http://dx.doi.org/10.1002/nme.1620090213
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    Comment on exponential fitting using integral equations (1975)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 9 (1975), S. 491-491 
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    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620090218
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    Finite elements for the vibration of cones and cylinders (1975)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 9 (1975), S. 833-845 
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    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: Elemental mass matrices have been produced for the vibration of conical and cylindrical shells, based on a semi-analytical approach. Frequencies and modes of vibration have been compared with existing solutions and also with experimental results obtained from other sources. Good agreement has been found between theory and experiment for thin-walled circular cylinders and cones, a cone-cylinder combination, and a cooling tower model.A theoretical investigation was also made on the vibration of a circular cylinder when subjected to uniform pressure.
    Additional Material: 15 Ill.
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    URL: http://dx.doi.org/10.1002/nme.1620090405
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    Announcement and call for papers (1975)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 9 (1975), S. 948-949 
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    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620090415
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    Calculation of eigenvalues of the Helmholtz equation by an integral equation (1976)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 10 (1976), S. 59-66 
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    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A method is presented to calculate the eigenvalues of the Helmholtz equation Δ2ø + k2ø = 0 in a two-dimensional area when ø vanishes on the boundary. The method is based on an integral equation, which can be easily solved numerically. Results obtained for circular and rectangular geometries are also given and compared to the exact values.
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    Panel flutter optimization - a refined finite element approach (1976)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 10 (1976), S. 77-91 
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    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: This paper presents the results of an aeroelastic optimization study. In this study the weight of a large aspect ratio panel immersed in high Mach number supersonic flow is minimized subject to the requirement that a critical aeroelastic parameter for flutter be held within specified limits. A refined finite element technique is used to model the panel flutter equilibrium equations, equations which act as constraints on the design search. The optimization mechanism itself is studied and discussed to provide qualitative results which may be useful to the solution of other aeroelastic optimization problems. The numerical results of this investigation are compared to converged numerical results to illustrate finite element accuracy. The results of the study show that the weight savings and material distribution found with an effective finite element model are comparable to those found by more complicated numerical methods.
    Additional Material: 7 Ill.
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    URL: http://dx.doi.org/10.1002/nme.1620100107
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    A computer solution for two-dimensional fluid-particle flows (1976)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 10 (1976), S. 185-196 
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    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A computer solution for two-dimensional fluid-particle flows using the cellular approach is presented. The euqations describing the flow of the continuous (fluid) phase are formulated using stream function, vorticity and enthalpy as the dependent variables. The effect of the disperse (particle) phase on the continous phase is represented by vorticity and energy sources in each cell. To illustrate the capability of the solution scheme, the flow of gas laden with hot particles issuing into a sudden expansion is analysed.
    Additional Material: 6 Ill.
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    URL: http://dx.doi.org/10.1002/nme.1620100114
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    Optimum design of stiffened cylindrical panels with constraint on the frequency in the presence of initial stresses (1976)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 10 (1976), S. 283-299 
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    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: This paper presents the optimum design of stiffened cylindrical panels with weight as the objective function and constraints on the frequencies in the presence of initial stresses, using unconstrained minimization techniques of non-linear mathematical programming problem. The interaction between the buckling constraints and the frequency constraints in the presence of initial stresses are included in the formulation. Loss of load carrying capacity due to imperfection and due to suddenly applied loads are included in the buckling analyses. Results for cylindrical shell are obtained by setting the panel angle to 360 degrees. The relationship between the weight of the cylinder and the panel (a segment of the cylinder) is examined.
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    URL: http://dx.doi.org/10.1002/nme.1620100205
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    Multivariable approach to the finite difference solution of elasto-plastic problems (1976)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 10 (1976), S. 361-377 
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    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The solutions of plane elasto-plastic problems usually use one or two field variables - namely a stress functions or the displacements. The use of three, four or five field variables is investigated and it is concluded that the three stresses from the best basis for a multivariable approach. Attempts to solve the governing equations with an initial value technique were exhaustively tried and discarded in preference to a boundary value or elliptical technique. The problem solved to check the method is that of a hole in plane strain uniaxial tension. Effective plastic strain distributions are plotted, along with stress and strain concentration data and distributions of the mean to effective stress ratio. Comparison is made between solutions produced using incremental and deformation theories.
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    URL: http://dx.doi.org/10.1002/nme.1620100208
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    Steady and unsteady finite element analysis of incompressible viscous fluid (1976)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 10 (1976), S. 437-456 
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    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: Finite element procedures and related illustrative numerical examples for incompressible viscous fluid motion are discussed in this paper. The steady flow problem is solved by the Newton-Raphson method and the perturbation method. By numerical examples, it can be shown that the combined use of the Newton-Raphson method and perturbation method is suitable. For the analysis of unsteady flow, the perturbation method is employed. Assuming that the basic flow is known, unsteady flow is calculated by accumulating the solution of the linearized equation in which the boundary values are varied by small amounts. Steady flows of temperature dependent free convection are also discretized and analyzed by the same procedure as the conventional finite element Galerkin method. For shape functions, quadratic polynomials are used for velocity and temperature, and linear polynomials for pressure. It is to be noted that the selections of shape functions and solution method are the keys to the analysis of highly non-linear fluid flow problems such as those discussed in this paper.
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    Linear and non-linear waves, G. B. Whitham, Wiley, New York. Price: £12.15. 636 pages (1976)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 10 (1976), S. 488-488 
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    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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    URL: http://dx.doi.org/10.1002/nme.1620100223
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    The incremental perturbation method for large displacement analysis of elastic-plastic structures (1976)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 10 (1976), S. 503-525 
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    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A procedure of applying the perturbation method is presented for the incremental numerical analysis of materially and combined non-linear problems of discrete and discretized structral systems. Small but finite strain and stress increments are strictly distinguished from the strain rates and stress rates, respectively. It is shown that, by applying the perturbation procedure not only to the non-linear strain-displacement relations and equilibrium equations, but also to the constitutive equations in terms of rate quantities, all the governing equations can be satisfied to any desired accuracy at every instantaneous configuration in between the starting and terminal points of an incremental step. The proposed method provides also means of finding, to a desired accuracy, every point on an equilibrium path of a discrete system at which a new element will start yielding or unloading and possible critical points on the path. The significance of the proposed method is expected to be appreciated particularly in numerical investigations of critical behaviours and post-buckling behaviours.
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    Solution of plane elasticity problems by the displacement discontinuity method. I. Infinite body solution (1976)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 10 (1976), S. 301-343 
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    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: This paper is concerned with the development of a numerical procedure for solving complex boundary value problems in plane elastostatics. This procedure - the displacement discontinuity method - consists simply of placing N displacement discontinuities of unknown magnitude along the boundaries of the region to be analyzed, then setting up and solving a system of algebraic equations to find the discontinuity values that produce prescribed boundary tractions or displacements. The displacement discontinuity method is in some respects similar to integral equation or ‘influence function’ techniques, and contrasts with finite difference and finite element procedures in that approximations are made only on the boundary contours, and not in the field. The method is illustrated by comparing computed results with the analytical solutions of two boundary value problems: a circular disc subjected to diametral compression, and a circular hole in an infinite plate under a uniaxial stress field. In both cases the numerical results are in excellent agreement with the exact solutions.
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    Finite element method applied to the supersonic flutter of circular cylindrical shells (1976)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 10 (1976), S. 423-435 
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    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The application of the finite element method to the supersonic flutter of circular cylindrical shells subjected to internal pressure and axial compression is presented. A circular cylindrical shell element is used. The element stiffness, mass and initial stiffness matrices are given. The element aerodynamic matrix is derived based on a first order high Mach number approximation to the linear potential flow theory. The eigenvalue problem is solved by the QR algorithm. Numerical results are presented and these are compared with analytical solutions and experimental data.
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    A finite element solution program for large structures (1976)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 10 (1976), S. 401-412 
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    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A straightforward and general computer program for assembling and solving (using Gauss elimination technique) widely sparsed finite element matrix equations with very large bandwidth and capable of handling different degrees-of-freedom and variable bandwidth at different nodes, is described herein. The program assembles any type of finite elements having arbitrary number of nodes and each node may have differnt degrees-of-freedom. It requires only a small core memory in the computer, although a fast random access device is also needed. The two very important features of this program are (i) it does not store any zero submatrices within the band and (ii) during the solution of equations all operations dealing with zero submatrices within the band are automatically skipped and thus the savings of a considerable amount of disc storage space and computer time can be effected in many cases. Another feature is that many right hand sides can be handled simultaneously. Hence the program is very economical for structures having widely sparsed matrix equations. A listing of the computer program written in FORTRAN IV for CDC 6400 computer is readily available from the authors, but unfortunately could not be given here because of lack of space. The program is so general that it can be used to solve a wide class of finite element problems without actually having to understand fully the techniques behind it.
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    An ADI procedure suitable for virtual storage systems (1976)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 10 (1976), S. 465-470 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The Peaceman-Rachford ADI technique is a well-known iterative method for solving large systems of linear equations arising from finite difference methods of solution of partial differntial equations. The present note demonstrates how the algorithm can be conveniently rearranged for computation in a virtual storage system with paging. Timing results are given for a sample problem typical of those encountered in nuclear diffusion computation.
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    Author's reply to the discussion by Watkins (1976)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 10 (1976), S. 472-474 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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    URL: http://dx.doi.org/10.1002/nme.1620100217
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    A unidimensional convergence test for matrix iterative processes applied to Strapdown Navigation (1977)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 11 (1977), S. 115-130 
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    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The investigation of the convergence properties of matrix iterative processes usually involves test matrices of high order. This fact may prohibit an analytic approach to the problem. In this paper a method is presented which converts the multidimensional test procedure into a scalar one. The method is presented in conjunction with the problem of matrix orthogonalization which exists in Strapdown Inertial Navigation. Three examples are presented in which the convergence of matrix orthogonalization techniques is investigated. The examples demonstrate the use of the unidimensional convergence test in determining the order of the processes and in finding sufficient conditions for convergence. Numerical results are presented.
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    A note on an element ordering schemeThis work was supported by S R C Grant B/RG/5549/4 made jointly to Brunel University and Imperial College of Sceience and Technology for research on Finite Element Techniques. (1977)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 11 (1977), S. 194-198 
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    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: This paper contains an algorithm for the ordering of elements in the finite element method, which can be utilized in the Non-assembly Method of the author and in the Frontal Solution Method of B. M. Irons.
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    Calculation of vibration frequencies by a hybrid element method based on a generalized complementary energy principle (1977)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 11 (1977), S. 231-246 
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    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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    Notes: Based on a generalized complementary energy principle the derivation of the element matrices is presented for calculation of natural frequencies. The degrees-of-freedom are not defined on nodal points but in an abstract way. No restrictions about the number of interpolation functions in the interior and at the boundaries of the element have been introduced. The exact solution of the discretized element equations leads to the dynamic stiffness matrix while the approximate solution results in a linear eigenvalue problem. Plate bending problems are used to study the convergence of frequencies depending on the degrees of interpolation functions within the element and on its boundaries and on the number of elements.
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    A Block-Stodola eigensolution technique for large algebraic systems with non-symmetrical matrices (1977)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 11 (1977), S. 247-267 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A Block-Stodola eigensolution method is presented for large algebraic eigensystems of the form AU = λBU where A is real but non-symmetric. The steps in this method parallel those of a previous technique for the case when both A and B were real and symmetric. The essence of the technique is simultaneous iteration using a group of trial vectors instead of only one vector as is the case in the classical Stodola-Vianello iteration method. The problem is then transformed into a subspace where a direct solution of the reduced algebraic eigenvalue problem is sought. The main advantage is the significant reduction of computational effort in extracting a subset of eigenvalues and corresponding eigenvectors. Theorems from linear algebra serve to underlie the basis of the present technique. Complex eigendata that emerge during iteration can be handled without doubling the size of the problem. Higher order eigenvalue problems are reducible to first order form for which this technique is applicable. The treatment of the quadratic eigenvalue problem illustrates the details of this extension.
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    A hybrid crack element for rectilinear anisotropic material (1977)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 11 (1977), S. 377-382 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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    Application of the front solution to two and three-dimensional elastoplastic crack problems (1977)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 11 (1977), S. 393-395 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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    Comment on the paper ‘a finite element solution program for large structures’ (1977)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 11 (1977), S. 404-405 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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    A homework exercise in finite elements (1977)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 11 (1977), S. 411-417 
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    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: We suggest an exercise which illustrates many of the fundamental ideas of finite elements, and is nevertheless easily programmed and quickly solved. It is governed by a partial differential equation on a circular region, but by maintaining symmetry the stiffness matrix becomes small and tridiagonal. The accuracy of linear elements can be studied in detail, and a straightforward extension leads to the eigenvalue problem, elements of higher degree, numerical integration, isoparametric elements, and a simple example in plasticity.
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    Numerical Fourier analysis in the range of higher frequencies (1977)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 11 (1977), S. 469-480 
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    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A novel method is proposed for the numerical computation of Fourier coefficients in the range of higher frequencies for which hitherto no practical method was available. The accuracy of the results obtained by application of this method is discussed, and bounds of a correction term are determined accordingly. An example from the field of Diesel engine research is given, and the computed spectrum is compared with the spectrum recorded by an electronic harmonic analyzer.
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    Least square and Galerkin finite element solution of flow past a flat plate (1977)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 11 (1977), S. 185-190 
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    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
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    Announcements (1977)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 11 (1977), S. 204-207 
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    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
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    URL: http://dx.doi.org/10.1002/nme.1620110123
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    Finite element solutions of the non-self-adjoint convective-dispersion equation (1977)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 11 (1977), S. 269-287 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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    Notes: Finite element formulations based on the Galerkin and variational principles have been developed for the self-adjoint and non-self-adjoint problems represented respectively by the flow and convective-dispersion equations in the cylindrical polar system of co-ordinates. The formulation based on the variational principle is shown to be restricted to dispersion-dominant transports only. The Galerkin method is demonstrated to be more versatile and free from convergence and stability problems. The computational scheme based on the Galerkin principle is shown to be equally valid for both convection and dispersion dominant transports. The numerical results obtained are verified with known analytical solutions. It is concluded that the suggested scheme can be used in solving a variety of field problems involving groundwater dispersion.
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    The indirect design of fluid channels using a global variational method with trial functions not satisfying the prescribed boundary conditions (1977)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 11 (1977), S. 579-591 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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    Notes: The indirect design problem for compressible fluid flow in a channel determines the physical shape of the channel from the prescribed flow on the channel boundary. In this paper, a global variational method for the solution of this problem is described.The non-linear equations are solved by iteration; at each step of this iteration the solution to the equations (which are now linear) is found by a global variational method. The variational method differs from conventional methods in that the trial function does not satisfy the prescribed boundary conditions, but the method reproduces the conditions on the boundary.Results are presented for various physical quantities associated with the channel.Some comments are made on the extensions of these methods to supersonic flow and to the realistic cascade design problem.
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    Matrices for scientists and engineers, W. W. Bell (University of Aberdeen), Van Nostrand Reinhold, 1974. £3·95 paperback £7·75 cloth (1977)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 11 (1977), S. 605-605 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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    URL: http://dx.doi.org/10.1002/nme.1620110318
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    On computer-aided analytic element analysis and the similarities of tetrahedron elements (1977)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 11 (1977), S. 611-622 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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    Notes: A complete analytical analysis of three-dimensional, quadratic displacement tetrahedron elements is presented. The results show that the element stiffness can readily be obtained from the much simpler stiffness matrix of the linear displacement element. Thus, the task of obtaining the matrix of the quadratic displacement element is, in effect, reduced to finding that of the linear displacement element.The analysis has been made possible only by using a symbolic manipulation language (PL/I-FORMAC) on a computer. A rather general program for computer-aided basic element analysis is presented. It seems that the extremely effective tool of symbolic manipulation has hardly been used until now in mechanics.
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    Fuller Obituary on Professor B. Fraeijs de Veubeke (1977)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 11 (1977), S. 407-407 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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    A numerical method for the solution of certain classes of nonlinear Volterra integro-differential and integral equations (1977)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 11 (1977), S. 431-438 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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    Notes: A direct numerical method is presented for the solution of classes of non-linear, singular Volterra integral and integro-differential equations of the types where y is the unknown and the Fs and Gs are given but to a large extent arbitrary functions of their arguments. The adaptation of the method to other equations, in particular with different kernels, is immediate.
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    On the elastic plastic initial-boundary value problem and its numerical integration (1977)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 11 (1977), S. 817-832 
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    Source: Wiley InterScience Backfile Collection 1832-2000
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    Notes: An interative approach is proposed for the numerical analysis of elastic-plastic continua. This approach gives after convergence an implicit scheme of integration of the evolution problem, and is concerned with elastic-perfectly plastic materials and with hardening standard materials. Under a generalized assumption of positive hardening, the proof of convergence of the iterative solutions is given. Some numerical examples by the finite element method are also discussed.
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    Elasto-plastic finite element analysis (1977)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 11 (1977), S. 875-881 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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    Notes: An elasto-plastic finite element small displacement procedure to predict the behaviour of structures under cyclic loads is presented. The solution combines incremental procedure with correction for equilibrium and iterative scheme. Applications are made for a rectangular strip and a notched bar under cyclic axial loads. Flow theory of plasticity with either isotropic hardening or kinematic linear hardening is used.
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    A classification and survey of numerical methods for boundary value problems in ordinary differential equations (1977)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 11 (1977), S. 771-796 
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    Keywords: Engineering ; Engineering General
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    Notes: The objective of the paper is a survey and classification of available numerical methods for boundary value problems with an emphasis on two point boundary value problems. In the paper a general two point boundary value problem is stated first and later available numerical methods are classified into five main groups according to their approach in numerical solution. In the next sections of the paper, each of these main groups are described and appropriate subgroups are defined and discussed.
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    An isoparametric Hermitian element for the solution of field problems (1977)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 11 (1977), S. 945-962 
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    Keywords: Engineering ; Engineering General
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    Notes: A two-dimensional isoparametric Hermitian element is investigated for use in potential field problems with irregular geometry. Nodal degrees-of-freedom are the potential, the gradients in the directions normal and tangential to the element sides, and the twist. In applying the isoparametric principle a simple approximation is used which in general guarantees C1 continuity only at the element corners. The present version is restricted to 90-degree interior angles.The element is applied in the Galerkin solution of the steady-state continuity equation and several examples are presented. It is found that in cases where the potential field is simple but the element is strongly distorted, gradients obtained from the Hermite are not as accurate as those from the Lagrange-type cubic element having the same number of degrees-of-freedom. When the potential field is complex and the distortion is small, the Hermitian gradients are comparable to those of the Lagrange cubic; with increasing distortion they are comparable at the boundaries but less so in the interior. The errors in the potentials themselves are very similar, both elements giving a high degree of accuracy.Since all of its degrees-of-freedom are shared by four elements in the interior of a grid, the Hermite element is approximately 20 per cent more efficient than the Lagrange cubic for all but the smallest grids. Also, since the Hermite uses fewer nodes, data handling is greatly reduced. The element appears to be attractive at least in the area of groundwater flow.
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    Optimization methods applied to hydrodynamic bearing design (1977)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 11 (1977), S. 1005-1027 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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    Notes: Optimization techniques are applied to the design of both hydrodynamic journal and tilting pad thrust bearings. Fletcher's adaptation of Davidon's gradient search method is further modified to deal with non-linear constraints in journal bearing design. A form of the Sequential Simplex is used for tilting pad thrust bearings. Penalty functions and variable transformations are used in both cases. Composite objective functions are included and the effect of weighting on each component of the composite function is investigated.
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    Optimum design of laminated fibre composite plates (1977)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 11 (1977), S. 623-640 
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    Keywords: Engineering ; Engineering General
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    Notes: A method is presented for the minimum weight optimum design of laminated fibre composite plates, subject to multiple inplane loading conditions, which includes stiffness, strength and elastic stability constraints. The buckling analysis is based on an equivalent orthotropic plate approach leading to two uncoupled eigenproblems per load condition. Overall computational efficiency is achieved by using constraint deletion techniques in conjunction with Taylor series approximations for the constraints retained. The optimization algorithm used, namely the method of inscribed hyperspheres, is a sequence of linear programs technique which exhibits rapid convergence in this application. Several example problems are given to demonstrate that the method presented offers an efficient and practical optimum design procedure for the fundamental and recurring problem treated.
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    Error analysis of penalty function techniques for constraint definition in linear algebraic systems (1977)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 11 (1977), S. 709-728 
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    Notes: The penalty function approach has been recently formalized as a general technique for adjoining constraint conditions to algebraic equation systems resulting from variational discretization of boundary value problems by finite difference or finite element techniques. This paper studies the numerical behaviour of the penalty function method for the special case of individual equation constraints imposed on a symmetric system of linear algebraic equations. Constraint representation and computational roundoff error components are distinguished and asymptotically characterized in terms of the penalty function weight coefficients. On the basis of this study, practical rules for the automatic assignment of values to those coefficients within the linear equation solver are proposed. Numerical problems encountered in the case of more general constraints are briefly discussed, and procedures for circumventing such difficulties are suggested.
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    Application of optimization and finite element methods to a cracking problem in timber (1977)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 11 (1977), S. 756-758 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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    Additional Material: 2 Ill.
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    Announcements (1977)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 11 (1977), S. 766-767 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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    Erratum (1977)
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    International Journal for Numerical Methods in Engineering 11 (1977), S. 770-770 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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    Superposition method of finite element and analytical solutions for transient creep analysis (1977)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 11 (1977), S. 1107-1115 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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    Notes: Based on the Lagrange multiplier's concept, a superposition method of analytical and finite element solutions has been developed to solve efficiently various non-linear and/or time-dependent problems in structural mechanics. According to the theory, the transient creep behaviour of a cantilever beam is analysed as an expository example.
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    An introduction to the mathematical theory of finite elements, J. T. Oden and J. N. Reddy, Wiley, New York, 1976. No. of pages 429. Price $32·00, £17·50 (1977)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 11 (1977), S. 1198-1198 
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    Keywords: Engineering ; Engineering General
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    Creep analysis of reinforced and prestressed concrete structures under non-uniform temperature distributions, using elastic solutions (1977)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 11 (1977), S. 883-895 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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    Notes: The analysis of stresses and deformations in concrete structures subjected to temperature gradients is described. As a result of the spatial variation of temperature, the creep compliance is a function of position. Previous work has shown that the constitutive equations for concrete creep can be expressed in a form which is invariable although ageing is included in the analysis. Thus viscoelastic methods can be used and correspondence principles can be developed; emphasis is placed in the present work on those which are based on the Laplace transform. A particular form is described, in which replacement of the elastic modulus by a function of the transformed creep compliance gives transformed values of stress; these values are easily obtained numerically by the finite element method using elastic analyses. The transformed values of stress are then expressed as approximate functions of the transformed creep compliance; inversion of the ensuing functions gives the stress as an approximate function of time. Two applications are given; the first considers a simple axially loaded column with reinforcement and the second deals with a thick cylinder subjected to a temperature gradient.
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    Discussion of ‘Finite element residual schemes for unconfined flow’ by Chandrakant S. DesaiInt. J. num. Meth. Engng, 10, 1415-1418 (1976). (1977)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 11 (1977), S. 908-910 
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    Keywords: Engineering ; Engineering General
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    A finite element free boundary formulation for the problem of multiphase heat conduction (1977)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 11 (1977), S. 933-943 
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    Notes: The problem of heat conduction in a multiphase medium is a free boundary problem in which the free boundary is the phase transition line. The solution to this problem is highly irregular in that the temperature gradient is discontinuous at the free boundary. Two-dimensional, discontinuous, space-time finite elements are introduced to obtain a finite element, free boundary formulation for this problem. The jump in heat flux and position of the phase transition line become dependent variables in the finite element model. The resulting models give accurate results while allowing the calculation of free boundary problems with a fixed finite element mesh.
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    Numerical analysis of flow with or without wake past a symmetric two-dimensional profile without incidence (1977)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 11 (1977), S. 975-993 
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    Notes: Formulated in the hodograph plane, the bi-dimensional flow of a perfect fluid past a symmetric body leads to an elliptic variational inequality. By this way we show the existence of a one-parameter family of solutions. Furthermore the study gives us a simple and effective method for calculating the solutions. The results obtained with some typical profiles are given and compared with previous works.
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    Static stability of plates using fully conforming element (1977)
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    International Journal for Numerical Methods in Engineering 11 (1977), S. 995-1003 
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    Keywords: Engineering ; Engineering General
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    Notes: In this paper the geometric stiffness matrices of a 12 degree-of-freedom rectangular element based on a fully compatible displacement field are developed for the first time and used to solve the elastic stability problem of rectangular plates under combined in-plane forces.The rapid convergence of buckling solutions based on the derived geometric stiffness matrices is demonstrated for plates with various boundary and loading conditions. Comparison of results shows that the present conforming element gives in all cases better results than the well known 12 degree-of-freedom non-conforming rectangular element.
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    An alternate finite difference operator for plates of variable stiffness (1977)
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    International Journal for Numerical Methods in Engineering 11 (1977), S. 1044-1048 
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    Keywords: Engineering ; Engineering General
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    Notes: A finite difference approximation for the equilibrium equation of a thin, laterally loaded, elastic plate of variable stiffness is developed; it uses plate stiffnesses at node points and at points midway between the nodes of the rectangular grids. Displacement and moment results using this operator and an alternate one are compared.
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    Call for papers (1977)
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    International Journal for Numerical Methods in Engineering 11 (1977), S. 1056-1056 
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    Keywords: Engineering ; Engineering General
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    Compact computation of natural frequencies and buckling loads for plane frames (1977)
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    International Journal for Numerical Methods in Engineering 11 (1977), S. 1067-1081 
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    Keywords: Engineering ; Engineering General
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    Notes: Existing theory is assembled to give a method which needs only the core of a mini-computer to calculate the eigenvalues of large rigidly jointed plane frames with certainty, the eigenvalues being natural frequencies and critical load factors in free vibration and buckling problems, respectively. The method is illustrated by annotated listings of vibration and buckling programs, each involving under two hundred Fortran statements and with low number storage requirements (see Table I). The use of the programs as ‘black boxes’ is fully explained, with illustrative examples.The member theory used is the ‘exact’ classical Bernoulli-Euler uniform member theory. Possible applications include: evaluation of answers from approximate methods; calculation of critical loads for substitution in the modified Merchant-Rankine formula to estimate collapse loads of frames; and calculation of shifts in natural frequencies caused by structural damage, in connection with structural integrity monitoring of inaccessible structures.
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    A finite element convergence study for accelerating flow problems (1977)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 11 (1977), S. 1155-1174 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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    Notes: The convergence properties of several non-linear solution procedures were examined with respect to the accelerated flow of a fluid in a converging channel (the Hamel problem), using two different finite element computer programs with different elemental construction. The Reynolds number varied from that for creeping flow to 1088 without exceeding the radius of convergence. Special attention was given to the successive substitution and Newton-Raphson solution algorithms, with a significant advantage in rate of convergence noted for the latter.
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    An unconditionally stable explicit algorithm for structural dynamics (1977)
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    International Journal for Numerical Methods in Engineering 11 (1977), S. 1579-1592 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: This paper presents an unconditionally stable explicit algorithm for the direct integration of the structural dynamic equations of motion. The algorithm is restricted to a diagonal mass matrix and positive definite symmetric stiffness and damping matrices. The algorithm is based on splitting the stiffness and damping matrices into strictly lower and upper trangular form. Unconditional stability is proven, but only for the undamped case and a completely symmetric splitting of the stiffness matrix. An alternate splitting method is also presented and numerical examples indicate superior performance over the symmetric splitting, but only a conditional stability. A spring-mass-dashpot model is used to illustrate the algorithm.
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    URL: http://dx.doi.org/10.1002/nme.1620111008
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    Differentiation and integration using Bernstein's polynomials (1977)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 11 (1977), S. 1627-1630 
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    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Additional Material: 1 Ill.
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    URL: http://dx.doi.org/10.1002/nme.1620111012
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    Newtonian die swell evaluation for axisymmetric tube exits using a finite element method (1977)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 11 (1977), S. 1621-1626 
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    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: Using a finite element method, a value of 13.2 per cent is obtained for the die swell of a highly-viscous Newtonian fluid flowing at very low Reynolds number from a circular tube of constant radius. The same method is then used to obtain die swell values for a variety of axisymmetric tube exits. It is found that, in general, conical constrictions at or near the tube exit result in a decrease in die swell, while conical expansions increase the die swell.
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    The steady state response of geometrically non-linear shallow arches (1977)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 11 (1977), S. 1261-1269 
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    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The non-linear steady state response of structures with curvature is investigated through the expository example of a shallow circular arch. A consistent mass finite element formulation is employed to derive the governing non-linear differential equations.These equations are solved by assuming a single mode expansion reducing the governing equations to the single degree-of-freedom Duffing's equation with a quadratic term. The non-symmetric amplitude-frequency curve is derived and compared with results previously obtained by direct integration of the equations of motion.
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    URL: http://dx.doi.org/10.1002/nme.1620110807
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    Temperature load on thick curved shell elements (1977)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 11 (1977), S. 1329-1333 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: Temperature load on a shell is usually represented as initial strains in the tangent plane directions of the shell, since strains in shell surface normal directions are neglected. It is shown, however, that this simplification may give rise to significant errors for thick curved shell elements. A procedure to overcome this problem is presented. In particular the eight-node subparametric thick shell element is considered.
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    A block iterative finite element algorithm for numerical solution of the steady-state, compressible Navier-Stokes equations (1977)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 11 (1977), S. 1879-1892 
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    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: An iterative method for numerically solving the time independent Navier-Stokes equations for viscous compressible flows is presented. The method is based upon partial application of the Gauss-Seidel principle in block form to the systems of the non-linear algebraic equations which arise in construction of finite element (Galerkin) models approximating solutions of fluid dynamic problems. The C0-cubic element on triangles is employed for function approximation. Computational results for a free shear flow at Re = 1000 indicate significant achievement of economy in iterative convergence rate over finite element and finite difference models which employ the customary time dependent equations and symptotic time marching procedure to steady solution. Numerical results are in excellent agreement with those obtained for the same test problem employing time marching finite element and finite difference solution techniques.
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    Closed form elastic-plastic stiffness matrix for axisymmetric finite elements (1978)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 12 (1978), S. 59-65 
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    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: This note presents the closed form equations for the stiffness terms in the elastic-plastic stiffness matrix for axisymmetric finite elements. The element considered is a triangular ring element characterized by linear displacement relationships and an averaged state of stress. The physical law is modelled by the incremental theory of plasticity utilizing the Prandtl-Reuss flow rule and von-Mises Yield Criterion. Results are presented comparing stiffness terms as computed by numerical integration to those computed from the closed form equations. Significant errors in stiffness terms arising from numerical integration are observed for axisymmetric elements located near the line of axial symmetry as a result of the logarithmic nature of some of the stiffness terms.
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    Certain properties of numerical schemes used to solve the blade-to-blade flow problem (1978)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 12 (1978), S. 85-92 
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    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The compressible potential flow on a blade-to-blade surface of a turbomachine is analysed using the Thomas algorithm. The numerical properties of resulting non-linear simultaneous equations are studied with respect to grid aspect ratios and convergence. The heuristic approach has established which are the important factors that affect the flow solution in typical blade-to-blade configurations.
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    Modification to the Suhara-Fukuda method of network generation (1978)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 12 (1978), S. 93-99 
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    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: This note describes improvements to the Suhara-Fukuda method for generating a triangular finite element network. These are based on the use of a node generation procedure which distributes nodes is a regular pattern across the network area and is sufficiently flexible to permit any variation in element density. Because of the regular node distribution, poorly shaped elements will not arise and so the procedure for connecting the nodes to form elements can be simplified. Examples of networks generaed in this way are given.
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    Discussion of a paper by E. O. FrindInt. J. num. Meth. Engng, 945-962 (1977). (1978)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 12 (1978), S. 183-185 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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    Notes: In a recent paper, Dr. Frind has formulated a two-dimensional isoparametric finite element based upon the Hermite bicubic interpolation scheme. The present discussion focuses upon certain simplifications in the derivation which appear to have diminished the accuracy of the resulting element, and suggests a simpler approach to the element formulation. This author agrees strongly with Dr. Frind's recommendation of the Hermite parametric element as an efficient and useful tool for general field problems; the present comments are offered to point out that, in fact, the accuracy comparisons presented by Dr. Frind are biased against the Hermite finite element.
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    Masthead (1978)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 12 (1978) 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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    URL: http://dx.doi.org/10.1002/nme.1620120201
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    A least squares finite element approach to unsteady gas dynamics (1978)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 12 (1978), S. 1-10 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A numerical technique for solving unsteady gas dynamic equations is presented. The technique is based on least squares finite element concepts with elements that are constructed in both space and time. Both linear and quadratic interpolation is used on individual elements. The technique is tested against a problem whose solution is known so that numerical accuracy can be ascertained.
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    Finite element analysis of steady-state elasto-visco-plastic flow by the initial stress-rate method (1978)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 12 (1978), S. 47-57 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A viscous approximation for steady creeping flow is extended to include the effect of elastic strains. Two examples are presented which illustrate both the method and the need for including elastic strains in the analysis of steady-state visco-plastic flows.
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    A finite element formulation for large elastic-plastic deformation analysis of polycrystals and some numerical considerations on polycrystalline plasticity (1978)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 12 (1978), S. 101-114 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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    Notes: A finite element formulation for large elasto-plastic deformation of polycrystalline materials is proposed in incremental form. The effect of rotation of crystal axes besides usual element rotaion is taken into account. Some numerical considerations on polycrystalline plasticity (i.e. stress-strain curves for several proportional loadings, effect of change of loading path on stress-strain curve, subsequent yield loci for uniaxial and equi-biaxial loadings and so forth) are given for the case of small deformation by using a plate model which consists of 121 square FCC crystals.
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    Addendum to the paper ‘finite element analysis of steady-state elasto-visco-plastic flow by the initial stress-rate method’ (1978)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 12 (1978), S. 382-383 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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    URL: http://dx.doi.org/10.1002/nme.1620120216
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    A 2nd order numerical method for laminar flow at moderate to high Reynolds numbers: Entrance flow in a duct (1978)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 12 (1978), S. 405-414 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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    Additional Material: 4 Ill.
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    On least squares approximations to indefinite problems of the mixed type (1978)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 12 (1978), S. 453-469 
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    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A least squares method is presented for computing approximate solutions of indefinite partial differential equations of the mixed type such as those that arise in connection with transonic flutter analysis. The mehod retains the advantages of finite difference schemes namely simplicity and sparsity of the resulting matrix system. However, it offers some great advantages over finite difference schemes. First, the method is insensitive to the value of the forcing frequency i.e., the resulting matrix system is always symmetric and positive definite,. As a result, iterative methods may be successfully employed to solve the matrix system, thus taking full advantage of the sparsity. Furthermore, the method is insensitive to the type of the partial differential equation, i.e., the computational algorithm is the same in elliptic and hyperbolic regions. In this work the method is formulated and numerical results for model problems are presented. Some theoretical aspects of least squares approximations are also discussed.
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    Finite element and conjugate gradient methods for a nonlinear optimal heat transfer control problem (1979)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 14 (1979), S. 1851-1863 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The boundary control problem of optimal heating of an infinitely long slab with tempertue-dependent thermal conductivity, subjected to a convection and radiation boundary condition, is analysed by numerical methods.In order to reformulate the optimal control problem of distributed parameter systems as a mathematical programming problem of finite dimension, a space, co-ordinate is discretized by use of the finite element method, while the Runge-Kutta method is utilized for time integrations. Finally, the performance index of the optimal control problem is minimized by the conjugate gradient method of optimization.
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    Call for papers (1979)
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    International Journal for Numerical Methods in Engineering 14 (1979), S. 1879-1879 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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    URL: http://dx.doi.org/10.1002/nme.1620141212
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    Finite element methods for an optimal steady-state control problem (1978)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 12 (1978), S. 1375-1382 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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    Notes: An optimal steady-state control problem governed by an elliptic state equation is solved by several finite element methods. Finite element discretizations are applied to different variational formulations of the problem yielding accurate numerical results as compared with the given analytical solution. It is sated that, for minimum computational effort and high accuracy, ‘mixed’ finite elements requiring only C° continuity, and approximating the control and state functions simultaneously are better suited to similar ‘fourth order’ problems.
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    Sensitivity Of matrix eigenvaluesThis work was done while both authors were summer visitors to Argonne National Laboratory in connection with the LINPACK project. (1978)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 12 (1978), S. 1367-1373 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A recent paper by Donald Gignac describes some difficulties with a certain matrix eigenvalue problem. This paper shows that the difficulties result from the naturue of the matrix itself. Quantities called condition numbers, which measure the sensitivity of the eigenvalues, are computed, and numerical results given.
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    Efficient implementation of anisotropic three dimensional boundary-integral equation stress analysis (1978)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 12 (1978), S. 1383-1397 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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    Notes: The boundary-integral equation medthod is particularly well suited for solution of stress concentration and elastic fracture mechanics problems. The method was not previously applicable to anisotropic three dimensional problems because no efficient technique existed for calculation of the required point load solution for an infinite body. A technique has been developed to evaluate numerically the anisotropic point load soultions, and used to generate data bases for various materials. An intrpolation technique is used to evaluate the point load solutions efficiently within a higher order boundary-intgral equation code. The effectiveness of the technique is verified by solution of problems involving both uniaxial stress states and stress concentrations.
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    Numerical fourier transformation: Singularity expansions and product integration (1978)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 12 (1978), S. 1473-1477 
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    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Additional Material: 3 Tab.
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    ‘Potential energy with iterative correction’… or deterioration, that is the question (Reply by Authors to M. Crisfield's Discussion1 of ‘A Critical Assessment of the simplified Hybrid Displacement Method’2) (1978)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 12 (1978), S. 1461-1472 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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    Additional Material: 2 Ill.
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    A frontal-based solver for frequency analysis (1978)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 12 (1978), S. 1659-1666 
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    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Additional Material: 2 Ill.
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    Lumped mass matrices with non-zero inertia for general shell and axisymmetric shell elements (1978)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 12 (1978), S. 1635-1650 
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    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A diagonal lumped mas formulation with non-zero inertia terms is presented for Ahmad's general shell element. The effect of co-ordinate transformation of the mas matrix is demonstrated. Due to arbitray co-ordinate transformation on nodal variables, the diagonal lumped mas matrix becomes a banded matrix of half bandwidth three. It is shown that with some approximations this matrix can be made diagnoal without effecting the results appreciably. Numerical examples are presented to illustrate the accuracy of the formulation. Similar lumped mass matrix formulation is also given for axisymmetric shell elements.
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    A systematic procedure for generating useful conformal mappings (1978)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 12 (1978), S. 1651-1657 
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    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A Procedure is presented for generating a class of conformal mappings useful in the formulation of finite-difference problems involving curved boundaries. The method provides a systematic approach that is capable, in principle, of reducing the geometry to a nearly-rectangular domain for a wide variety of partical problems. The introduction of sheared co-ordinates in this computational domain then provides for solution of the problem in a nearly-orthogonal (in fact, nearly-conformal) co-ordinate system, with its boundaries corresponding to co-ordinate lines. The method is based upon the Schwarz-Christoffel transformation and is quite simple to apply. Several examples illustrating the types of geometries which can be treated in this manner are presented.
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