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This monograph is based on research undertaken by the authors during the last ten years. The main part of the work deals with homogenization problems in elasticity as well as some mathematical problems related to composite and perforated elastic materials. This study of processes in strongly non-homogeneous media brings forth a large number of purely mathematical problems which are very important for applications. Although the methods suggested deal with stationary problems, some of them can be extended to non-stationary equations. With the exception of some well-known facts from functional an
Partial differential equations --- Numerical solutions of differential equations --- Mathematical physics --- Navier-Stokes equations. --- Navier-Stokes equations --- Navier-Stokes, Equations de --- ELSEVIER-B EPUB-LIV-FT --- Equations, Navier-Stokes --- Differential equations, Partial --- Fluid dynamics --- Viscous flow --- 519.6 --- 681.3 *G18 --- Fluides, Dynamique des --- 681.3 *G18 Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- Computational mathematics. Numerical analysis. Computer programming --- Equations de navier-stokes --- Traitement numerique
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Plasticity --- Plasticité --- Plasticité --- Functional analysis. --- Analyse fonctionnelle --- Analyse fonctionnelle. --- Mécanique --- Mechanics --- Plasticité. --- Plastic properties. --- Mécanique --- Plasticité.
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Fluid dynamics --- Navier-Stokes equations --- Nonlinear functional analysis --- Fluides, Dynamique des --- Navier-Stokes, Equations de --- Analyse fonctionnelle non linéaire --- Numerical solutions --- Solutions numériques --- Fluid dynamics. --- Nonlinear functional analysis. --- Numerical solutions. --- Analyse fonctionnelle non linéaire --- Solutions numériques --- Analyse fonctionnelle non linéaire. --- Hydrodynamique. --- Navier-Stokes, Équations de --- Équations de Navier-Stokes --- Solutions numériques. --- Équations de Navier-Stokes --- Analyse fonctionnelle non linéaire. --- Solutions numériques.
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Navier-Stokes equations --- 517.9 --- Equations, Navier-Stokes --- Differential equations, Partial --- Fluid dynamics --- Viscous flow --- Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- 517.9 Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- Fluides, Dynamique des --- Equations de navier-stokes --- Traitement numerique
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Fluid dynamics --- Navier-Stokes equations --- -Nonlinear functional analysis --- Functional analysis --- Nonlinear theories --- Equations, Navier-Stokes --- Differential equations, Partial --- Viscous flow --- Dynamics --- Fluid mechanics --- Numerical solutions --- Fluid dynamics. --- Nonlinear functional analysis. --- Numerical solutions. --- Nonlinear functional analysis --- Numerical analysis
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Differential equations, Elliptic --- 517.983 --- 519.6 --- 681.3*G13 --- 517.983 Linear operators. Linear operator equations --- Linear operators. Linear operator equations --- 681.3*G13 Numerical linear algebra: conditioning; determinants; Eigenvalues; error analysis; linear systems; matrix inversion; pseudoinverses; sparse and very largesystems --- Numerical linear algebra: conditioning; determinants; Eigenvalues; error analysis; linear systems; matrix inversion; pseudoinverses; sparse and very largesystems --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- Computational mathematics. Numerical analysis. Computer programming --- Numerical solutions --- Numerical solutions of differential equations
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This monograph is based on research undertaken by the authors during the last ten years. The main part of the work deals with homogenization problems in elasticity as well as some mathematical problems related to composite and perforated elastic materials. This study of processes in strongly non-homogeneous media brings forth a large number of purely mathematical problems which are very important for applications. Although the methods suggested deal with stationary problems, some of them can be extended to non-stationary equations. With the exception of some well-known facts from functional analysis and the theory of partial differential equations, all results in this book are given detailed mathematical proof. It is expected that the results and methods presented in this book will promote further investigation of mathematical models for processes in composite and perforated media, heat-transfer, energy transfer by radiation, processes of diffusion and filtration in porous media, and that they will stimulate research in other problems of mathematical physics and the theory of partial differential equations.
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