多尺度問題

內(nèi)容概要

The focus of this is on the lgest
developments related to the analysis of problems in which several
scales are presented.After a theoretical presentation of the theory
of homogenization in the periodic case, the other contributions
address a wide range of applications in the fields of elasticity
(asymptotic behavior of nonlinear elastic thin structures, modeling
of junction of a periodic family of rods with a plate) and fluid
mechanics (stationary Navier-Stokes equations in porous media).
Other applications concern the modeling of new composites
(electromagnetic and piezoelectric materials)and imperfect
transmission problems. A detailed approach of numerical finite
element methods is also investigated.

作者簡(jiǎn)介

編者：李大潛 （法國(guó)）達(dá)拉曼（Alain Damlamian） （法國(guó)）米拉（Bernadette Miara）

書籍目錄

Preface
Alain Damlamian
An Introduction to Periodic Homogenization
Alain Damlamian
The Periodic Unfolding Method in Homogenization
Gabriel Nguetseng and Lazarus Signing
Deterministic Homogenization of Stationary Navier-Stokes
Type Equations
Patricia Donato
Homogenization of a Class of Imperfect Transmission Problems
Georges Griso
Decompositions of Displacements of Thin Structures
Georges Griso
Decomposition of Rods Deformations. Asymptotic Behavior of
Nonlinear Elastic Rods
Dominique Blanchard
Junction of a Periodic Family of Rods with a Plate
in Elasticity
Bernadette Miara
Multi-scale Modelling of New Composites: Theory and
Numerical Simulation
Assyr Abdulle
A Priori and a Posteriori Error Analysis for Numerical
Homogenization: A Unified Framework

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