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  • 1
    Electronic Resource
    Electronic Resource
    Generalized hybrid-combined methods for the singularity problems of homogeneous elliptic equations (1988)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 26 (1988), S. 785-803 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: Combinations of the Ritz-Galerkin and finite element methods are applied to solving singularity problems of homogeneous, elliptic equations. The Ritz-Galerkin method is used in the subdomains where there exist singular points; and the finite element method is still used in the rest of the solution domains. More general coupling techniques than those of Reference 6 along the common boundary of subdomains are discussed. Numerical experiments using these kinds of coupling techniques are provided for the first time. It is interesting that the calculated results of Motz's problem have shown the simplified hybrid strategy in Reference 6 to be optimal for both error bounds and stability of numerical solutions, among all general coupling techniques.
    Additional Material: 7 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620260403
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  • 2
    Electronic Resource
    Electronic Resource
    An amperometric study of the reactions of copper(I) and copper(II) oxides with barium peroxide in surfactant suspensions (1995)
    Weinheim : Wiley-Blackwell
    Electroanalysis 7 (1995), S. 154-159 
    Details
    ISSN: 1040-0397
    Keywords: Amperometric titration ; Barium peroxide ; Surfactant suspension ; Chemistry ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: A study was made of the amperometric titration of the reaction between barium peroxide and copper(I) and copper(II) oxides. It was shown that it was possible to titrate a solid with a solid in surfactant suspensions. The studies were made in aqueous and acetonitrile suspensions containing cationic surfactants. End points were obtained at molecular ratios of BaO2 to CuO of 1 : 1, 1 : 3, and 1 : 5; and molecular ratios of BaO2 to Cu2O of 1 : 1 and 2: 1. It was postulated that the reactions involving CuO were \documentclass{article}\pagestyle{empty}\begin{document}$$ \begin{array}{*{20}c} {{\rm BaO}_{\rm 2} + {\rm CuO} \to {\rm BaCuO}_{\rm 3}} \\ {{\rm BaO}_{\rm 2} + {\rm 3CuO} \to {\rm Cu}_{\rm 3} {\rm O}_{\rm 4} + {\rm BaO or BaCu}_{\rm 3} {\rm O}_{\rm 5}} \\ {{\rm BaO}_{\rm 2} + 5{\rm CuO} \to {\rm BaCu}_{\rm 5} {\rm O}_{\rm 7} {\rm or BaO} + {\rm Cu}_{\rm 5} {\rm O}_{\rm 6}} \\ \end{array} $$\end{document} The reactions involving Cu2O were postulated to be \documentclass{article}\pagestyle{empty}\begin{document}$$ \begin{array}{*{20}c} {{\rm BaO}_{\rm 2} + {\rm Cu}_{\rm 2} {\rm O} \to {\rm BaCu}_{\rm 2} {\rm O}_{\rm 3}} \\ {{\rm 2BaO}_{\rm 2} + {\rm Cu}_{\rm 2} {\rm O} \to {\rm Ba}_{\rm 2} {\rm Cu}_{\rm 2} {\rm O}_{\rm 5}} \\ \end{array} $$\end{document}.
    Additional Material: 9 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/elan.1140070211
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  • 3
    Electronic Resource
    Electronic Resource
    Six combinations of the Ritz-Galerkin and finite element methods for elliptic boundary value problems (1988)
    New York, NY [u.a.] : Wiley-Blackwell
    Numerical Methods for Partial Differential Equations 4 (1988), S. 197-218 
    Details
    ISSN: 0749-159X
    Keywords: Mathematics and Statistics ; Numerical Methods
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics
    Notes: Overall comparisons are made for six efficient combinations of the Ritz-Galerkin and finite element methods for solving elliptic boundary value problems with singularities or interfaces. The comparisons are done by using theoretical analysis and numerical experiments. Significant relations among the six combinations are also found. A survey of the six combinations and their coupling strategies are given. These combinations are important not only for matching the Ritz-Galerkin method and the finite element method but also for matching other numerical methods such as the Ritz-Galerkin method and the finite difference method.
    Additional Material: 7 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/num.1690040304
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  • 4
    Electronic Resource
    Electronic Resource
    Use of mica in poly(vinyl chloride) (1981)
    Brookfield, Conn. : Wiley-Blackwell
    Polymer Composites 2 (1981), S. 8-12 
    Details
    ISSN: 0272-8397
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: A study was conducted to evaluate mica-poly(vinyl chloride) (PVC) composites. A highly filled PVC pipe formulation was selected as reference and a gradual replacement by mica of the calcium carbonate was conducted. The mica improved the fluxing time of the formulation by a factor of three without markedly affecting the equilibrium or maximum, torque. The results are optimized when there is a partial replacement of the calcium carbonate by mica, Orientation of the mica flakes enhances the young's modulus as well as the yield stress. A theoretical analysis shows a discrepancy from experimental results for high levels of mica. The rheological properties were studied with a Brabender plastograph and mechanical properties with a model TM-SM Instron.
    Additional Material: 3 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/pc.750020103
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