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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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Mathematical optimization --- Convex functions --- Calculus of variations --- Optimisation mathématique --- Fonctions convexes --- Calcul des variations --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Functions, Convex --- Functions of real variables --- Isoperimetrical problems --- Variations, Calculus of --- Calculus of variations. --- Convex functions. --- Mathematical optimization. --- Optimisation mathématique --- Variational principles --- Principes variationnels --- Duality theory (Mathematics) --- Dualité, Principe de (mathématiques) --- Analyse convexe --- Variational principles. --- Dualité, Principe de (mathématiques)
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Conferences - Meetings --- Fluid mechanics. --- Numerical analysis. --- Numerical calculations --- Fluides, Mécanique des. --- Analyse numérique. --- Calculs numériques. --- Numerical calculations.
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