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  • Articles  (18)
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  • Articles  (18)
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  • Wiley-Blackwell  (18)
  • American Institute of Physics
  • American Meteorological Society
  • American Physical Society (APS)
  • BioMed Central
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  • 2010-2014
  • 1995-1999  (18)
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  • 1
    Electronic Resource
    Electronic Resource
    On the eigensystems of the Stokes operator discretized by the Q1-P0 finite element method (1998)
    Chichester : Wiley-Blackwell
    Communications in Numerical Methods in Engineering 14 (1998), S. 959-961 
    Details
    ISSN: 1069-8299
    Keywords: Stokes problem ; finite element ; eigensystems ; Engineering ; Numerical Methods and Modeling
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The use of mixed finite element methods in discretizing the Stokes equations leads to systems involving the so-called pressure matrix. Some new spectral properties of this important matrix are here presented for the Q1-P0 element. © 1998 John Wiley & Sons, Ltd.
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  • 2
    Electronic Resource
    Electronic Resource
    A multilayered mixed beam element in gradient plasticity for the analysis of localized failure modes (1998)
    New York, NY [u.a.] : Wiley-Blackwell
    Mechanics of Cohesive-frictional Materials 3 (1998), S. 305-322 
    Details
    ISSN: 1082-5010
    Keywords: strain localization ; finite element ; mesh sensitivity ; regularization ; gradient plasticity ; multilayered concrete beams ; Engineering ; Civil and Mechanical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: A gradient-dependent plasticity theory is applied to finite element solutions of static strain localization problems. Assuming weak satisfaction of constitutive equations, a multilayered beam finite element with a mixed character is developed. The plastic strain field is discretized in addition of the displacement field. A consistent Newton-Raphson algorithm for this approach is presented. Some examples are carried out in order to illustrate the approach and verify the performances of the element. © 1998 John Wiley & Sons, Ltd.
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  • 3
    Electronic Resource
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    A family of 13-node plate bending triangular elements (1998)
    Chichester : Wiley-Blackwell
    Communications in Numerical Methods in Engineering 14 (1998), S. 529-537 
    Details
    ISSN: 1069-8299
    Keywords: finite element ; plate bending ; triangular element ; displacement method ; polynomial function ; Engineering ; Numerical Methods and Modeling
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: This paper investigates the importance and accuracy of a family of high-order triangular elements. After a brief review of characteristics of high-order triangular elements, six new incompatible 13-node triangular elements are presented. The accuracy of the proposed elements is illustrated by comparing their numerical results with the other investigators' solutions, and the best element is introduced. © 1998 John Wiley & Sons, Ltd.
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  • 4
    Electronic Resource
    Electronic Resource
    A quadratic assumed natural strain triangular element for plate bending analysis (1998)
    Chichester : Wiley-Blackwell
    Communications in Numerical Methods in Engineering 14 (1998), S. 1013-1025 
    Details
    ISSN: 1069-8299
    Keywords: assumed natural strain ; plate bending ; triangular ; finite element ; six-node ; Engineering ; Numerical Methods and Modeling
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: In this paper, a six-node triangular C0 plate bending element is developed by the assumed natural strain method. In the element, all the sampled natural transverse shear strains are chosen such that the latter has a favourable constraint index and the strains are optimized with respect to a linear pure moment field. The element passes the patch tests, yields satisfactory accuracy and shows no sign of shear locking in all the problems considered. Copyright © 1998 John Wiley & Sons, Ltd.
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  • 5
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    On a multilevel approach for the two dimensional Navier-Stokes equations with finite elements (1998)
    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 27 (1998), S. 241-258 
    Details
    ISSN: 0271-2091
    Keywords: multilevel algorithm ; 2D Navier-Stokes equations ; finite element ; large eddy simulations ; long time integration ; Engineering ; Numerical Methods and Modeling
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: We study if the multilevel algorithm introduced in Debussche et al. (Theor. Comput. Fluid Dynam., 7, 279-315 (1995)) and Dubois et al. (J. Sci. Comp., 8, 167-194 (1993)) for the 2D Navier-Stokes equations with periodic boundary conditions and spectral discretization can be generalized to more general boundary conditions and to finite elements. We first show that a direct generalization, as in Calgaro et al. (Appl. Numer. Math., 21, 1-40 (1997)), for the Burgers equation, would not be very efficient. We then propose a new approach where the domain of integration is decomposed in subdomains. This enables us to define localized small-scale components and we show that, in this context, there is a good separation of scales. We conclude that all the ingredients necessary for the implementation of the multilevel algorithm are present. © 1998 John Wiley & Sons, Ltd.
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  • 6
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    A parallel solver based on the dual Schur decomposition of general finite element matrices (1998)
    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 28 (1998), S. 23-46 
    Details
    ISSN: 0271-2091
    Keywords: domain decomposition ; parallel algorithms ; finite element ; Lagrange multipliers ; projected GMRES ; Engineering ; Numerical Methods and Modeling
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: A parallel solver based on domain decomposition is presented for the solution of large algebraic systems arising in the finite element discretization of mechanical problems. It is hybrid in the sense that it combines a direct factorization of the local subdomain problems with an iterative treatment of the interface system by a parallel GMRES algorithm. An important feature of the proposed solver is the use of a set of Lagrange multipliers to enforce continuity of the finite element unknowns at the interface. A projection step and a preconditioner are proposed to control the conditioning of the interface matrix.The decomposition of the finite element mesh is formulated as a graph partitioning problem. A two-step approach is used where an initial decomposition is optimized by non-deterministic heuristics to increase the quality of the decomposition.Parallel simulations of a Navier-Stokes flow problem carried out on a Convex Exemplar SPP system with 16 processors show that the use of optimized decompositions and the preconditioning step are keys to obtaining high parallel efficiencies. Typical parallel efficiencies range above 80%. © 1998 John Wiley & Sons, Ltd.
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  • 7
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    Free-surface flow over curved surfaces: Part II: Computational model (1998)
    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 28 (1998), S. 201-213 
    Details
    ISSN: 0271-2091
    Keywords: curved surface ; shallow water ; non-hydrostatic ; spillway ; finite element ; Engineering ; Numerical Methods and Modeling
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: In Part I a detailed derivation of a more general shallow water equation set was developed via a perturbation analysis. A finite element computational model of these more general equations is now constructed and the model behavior is compared with conventional shallow water formulations applied to an outletworks flume. © 1998 John Wiley & Sons, Ltd.
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  • 8
    Electronic Resource
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    Dynamic time-step estimates for two-dimensional transient field problems using square elements (1998)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 42 (1998), S. 1-14 
    Details
    ISSN: 0029-5981
    Keywords: accuracy of numerical solution ; time-step ; finite element ; finite difference ; time-stepping schemes ; Engineering ; Numerical Methods and Modeling
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: This study presents an experimental approach to estimate time steps that integrate the two-dimensional field equation over a square element within 5 per cent accuracy from the exact solution. The time-step estimates were determined for three finite element, and three finite difference schemes. Comparisons between finite element and finite difference methods and the various time-stepping schemes were conducted. The dynamic time-step estimates are functions of grid size and the smallest eigenvalue of the system of ODEs, λ1. The results indicate that the finite element and finite difference methods generate similar time-step estimates and are at similar accuracy levels. The central difference scheme is superior to the other two schemes as far as the flexibility in allowing larger time step while maintaining the accuracy. The backward difference and the forward difference schemes were very close in their level of accuracy. © 1998 John Wiley & Sons, Ltd.
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  • 9
    Electronic Resource
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    Mapped spheroidal wave-envelope elements for unbounded wave problems (1998)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 41 (1998), S. 1235-1254 
    Details
    ISSN: 0029-5981
    Keywords: unbounded domain ; wave equation ; steady ; transient ; finite element ; infinite element ; Engineering ; Numerical Methods and Modeling
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: This paper describes a family of axisymmetric, spheroidal ‘wave envelope’ elements for modelling exterior wave problems. They are of variable radial order and can be used to represent steady and transient wave fields. The formulation is presented for the axisymmetric case using elements which are based on oblate and prolate spheroidal geometries. These offer the prospect of reduced dimensionality - in comparison to conventional, spherically formulated elements - when used to represent wave fields in the vicinity of slender or flat objects. Conjugated weighting functions are used to give frequency-independent acoustic ‘mass’, ‘stiffness’ and ‘damping’ matrices. This facilitates a simple extension of the method to transient problems. The effectiveness and accuracy of the method is demonstrated by a comparison of computed and analytic solutions for sound fields generated by a rigid sphere in steady harmonic oscillation, by a rigid sphere excited from rest, and by a circular plate vibrating in a plane baffle. © 1998 John Wiley & Sons, Ltd.
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  • 10
    Electronic Resource
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    A method for solving contact problems (1998)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 42 (1998), S. 473-498 
    Details
    ISSN: 0029-5981
    Keywords: finite element ; penalty ; barrier ; cross-constraints ; constrained minimisation ; Engineering ; Numerical Methods and Modeling
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: In this paper a further method is presented to solve problems involving contact mechanics. The basic idea is related to a special modification of the unconstrained functional to include inequality constraints. The modification is constructed in such a way that minimal point of the unconstrained potential can be exactly shifted to the constraint limit. Moreover, the functional remains smooth and the admissible range of the solution is not restricted. The solution search process with iterative techniques takes advantage from these features. In fact, due to a better control of gap status changes, a more stable solution path with respect to other methods is usually obtained.The characteristics of the method are evidenced and compared to other classical techniques, like penalty and barrier methods. The finite element discretization of the proposed method is included and some numerical applications are shown. © 1998 John Wiley & Sons, Ltd.
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  • 11
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    Simulation of two-fluid flows by the least-squares finite element method using a continuum surface tension model (1998)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 42 (1998), S. 583-600 
    Details
    ISSN: 0029-5981
    Keywords: two fluid flows ; free surface ; surface tension ; finite element ; least-squares ; Engineering ; Numerical Methods and Modeling
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: In this paper a numerical procedure for simulating two-fluid flows is presented. This procedure is based on the Volume of Fluid (VOF) method proposed by Hirt and Nichols and the Continuum Surface Force (CSF) model developed by Brackbill et al.. In the VOF method fluids of different properties are identified through the use of a continuous field variable (colour function). The colour function assigns a unique constant (colour) to each fluid. The interfaces between different fluids are distinct due to sharp gradients of the colour function. The evolution of the interfaces is captured by solving the convective equation of the colour function. The CSF model is used as a means to treat surface tension effect at the interfaces. Here a modified version of the CSF model, proposed by Jacqmin, is used to calculate the tension force. In the modified version, the force term is obtained by calculating the divergence of a stress tensor defined by the gradient of the colour function. In its analytical form, this stress formulation is equivalent to the original CSF model. Numerically, however, the use of the stress formulation has some advantages over the original CSF model, as it bypasses the difficulty in approximating the curvatures of the interfaces.The least-squares finite element method (LSFEM) is used to discretize the governing equation systems. The LSFEM has proven to be effective in solving incompressible Navier-Stokes equations and pure convection equations, making it an ideal candidate for the present applications. The LSFEM handles all the equations in a unified manner without any additional special treatment such as upwinding or artificial dissipation.Various bench mark tests have been carried out for both two-dimensional planar and axisymmetric flows, including a dam breaking, oscillating and stationary bubbles and a conical liquid sheet in a pressure swirl atomizer. © 1998 John Wiley & Sons, Ltd.
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  • 12
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    New B-Spline Finite Element approach for geometrical design and mechanical analysis (1998)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 41 (1998), S. 435-458 
    Details
    ISSN: 0029-5981
    Keywords: geometrical design ; physically based system ; B-spline ; finite element ; Engineering ; Numerical Methods and Modeling
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: In most existing CAD systems, geometrical design and mechanical analysis are operated as completely separate modules. Intensive interaction between these modules is, however, highly desired due to the iterative nature of a typical product development process. Formulating a new, unified approach to design and analysis that provides a high level of interaction is the main purpose of this research. The idea is to integrate a mechanically based geometrical design concept with the mechanical analysis module in a uniform B-Spline Finite Element (BSFE) environment. In this paper, the BSFE method is formulated and its validity and adequacy are verified for elastic linear rod and plate models. In particular, the feasibility of applying B-spline functions as base functions of the finite element method for design and analysis is demonstrated. Unique scheme attributes based on intrinsic properties of B-spline functions are investigated in detail. Method adequacy is demonstrated by comparing convergence characteristics, complexity and computational cost to the spectral element method. © 1998 John Wiley & Sons, Ltd.
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  • 13
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    Finite element schemes for non-linear problems in infinite domains (1998)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 42 (1998), S. 341-360 
    Details
    ISSN: 0029-5981
    Keywords: infinite domain ; finite element ; Dirichlet-to-Neumann (DtN) ; non-linear elliptic problems ; Engineering ; Numerical Methods and Modeling
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A class of non-linear elliptic problems in infinite domains is considered, with non-linearities extending to infinity. Examples include steady-state heat radiation from an infinite plate, and the deflection of an infinite membrane on a non-linear elastic foundation. Also, this class of problems may serve as a starting point for treating non-linear wave problems. The Dirichlet-to-Neumann (DtN) Finite Element Method, which was originally developed for linear problems in infinite domains, is extended here to solve these non-linear problems. Several DtN schemes are proposed, with a trade-off between accuracy and computational effort. Numerical experiments which demonstrate the performance of these schemes are presented. © 1998 John Wiley & Sons, Ltd.
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  • 14
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    The coupling of boundary integral and finite element methods for the nonstationary exterior flow (1998)
    New York, NY [u.a.] : Wiley-Blackwell
    Numerical Methods for Partial Differential Equations 14 (1998), S. 549-565 
    Details
    ISSN: 0749-159X
    Keywords: boundary integral ; finite element ; Navier-Stokes equations ; Mathematics and Statistics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics
    Notes: In this article, we represent a new numerical method for solving the nonstationary Navier-Stokes equations in an unbounded domain. The technique consists of coupling the boundary integral and the finite element method. The variational formulation and the well-posedness of the coupling method are obtained. The convergence and optimal error estimates for the approximate solution are provided. © 1998 John Wiley & Sons, Inc. Numer Methods Partial Differential Eq 14: 549-565, 1998
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  • 15
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    Finite differences on triangular grids (1998)
    New York, NY [u.a.] : Wiley-Blackwell
    Numerical Methods for Partial Differential Equations 14 (1998), S. 567-579 
    Details
    ISSN: 0749-159X
    Keywords: finite difference ; finite element ; triangular grid ; Mathematics and Statistics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics
    Notes: We define a finite differences method for triangular grids and we show how to link it to a finite element method. From this new point of view we then analyze properties of the solution and convergence. © 1998 John Wiley & Sons, Inc. Numer Methods Partial Differential Eq 14: 567-579, 1998
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  • 16
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    Computation of unsteady flows with mixed finite volume/finite element upwind methods (1998)
    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 27 (1998), S. 193-206 
    Details
    ISSN: 0271-2091
    Keywords: finite element ; finite volume ; numerical dissipation ; compressible flow ; Engineering ; Numerical Methods and Modeling
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: We refer to as mixed element/volume (MEV) methods the application of finite element for diffusion terms and finite volume for advection terms in a flow model. The compatibility of these methods can be checked for some low-order approximations; the resulting schemes may enjoy the relative mesh-regularity-independent accuracy of finite element methods as discussed in a first section. In recent years a number of developments (by INRIA Dassault and T. Barth, among others) have produced P1-continuous schemes that involve some MUSCL/TVD unidirectional limitation; the resulting schemes are very useful but sometimes may involve much more numerical viscosity than necessary, especially for unsteady computations. In the present study, a new version is built by using a larger molecule for the intercell flux evaluation. The 1D version can be promoted to fourth- or even fifth-order spatial accuracy. The 2D version is no better than second-order-accurate; however, it involves only a sixth-order dissipation and the global accuracy is markedly improved even on irregular meshes. The above development extends the ability of the MUSCL/MEV scheme towards the accurate calculation of unsteady flows involving vortex shedding. © 1998 John Wiley & Sons, Ltd.
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  • 17
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    Free-surface flow over curved surfaces: Part I: Perturbation analysis (1998)
    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 28 (1998), S. 191-200 
    Details
    ISSN: 0271-2091
    Keywords: curved surface ; shallow water ; non-hydrostatic ; spillway ; finite element ; Engineering ; Numerical Methods and Modeling
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: The standard two-dimensional shallow water equation formulation assumes a mild bed slope and no curvature effect. These assumptions limit the applicability of these equations for some important classes of problems. In particular, flow over a spillway is affected by the bed curvature via a decidedly non-hydrostatic pressure distribution. A detailed derivation of a more general equation set is given here in Part I. The method relies upon a perturbation expansion to simplify a bed-fitted co-ordinate configuration of the three-dimensional Euler equations. The resulting equations are essentially the equivalent of the two-dimensional shallow water equations but with curvature included and without the mild slope assumption. A finite element analysis and flume result are given in Part II. © 1998 John Wiley & Sons, Ltd.
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  • 18
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    Variational bound finite element methods for three-dimensional creeping porous media and sedimentation flows (1998)
    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 26 (1998), S. 145-175 
    Details
    ISSN: 0271-2091
    Keywords: effective property ; porous media ; sedimentation ; finite element ; Stokes flow ; variational bounds ; Engineering ; Numerical Methods and Modeling
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: We present an analytico-computational methodology for the prediction of the effective properties of two types of three-dimensional particulate Stokes flows: porous media and sedimentation flows. In particular, we determine the permeability and average settling rate of media that consist of non-colloidal monodisperse solid spherical particles immersed in a highly viscous Newtonian fluid. Our methodology recasts the original problem into three scale-decoupled subproblems: the macro-, meso- and microscale subproblems. In the macroscale analysis the appropriate effective property is used to calculate the bulk quantity of interest. The mesoscale problem provides this effective property through the finite element solution of the transport equations in a periodic cell containing many particles distributed according to a prescribed joint probability density function. Finally, the microscale analysis allows us to accommodate mesoscale realizations in which two or more inclusions are in very close proximity; this geometrical stiffness is alleviated by introducing simple domain modifications that relax the mesh generation requirements while simultaneously yielding rigorous bounds for the effective property. Our methodology can treat random particle distributions as well as regular arrays; in the current paper we analyse only the latter. © 1998 John Wiley & Sons, Ltd.
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