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词条 多尺度问题:理论、数值逼近及应用
释义

图书信息

出版社: 高等教育出版社; 第1版 (2011年8月1日)

外文书名: Multiscale Problems:Theory,Numerical Approximation and Applications

精装: 305页

正文语种: 英语

开本: 16

ISBN: 9787040317312

条形码: 9787040317312

尺寸: 23 x 15.4 x 2.4 cm

重量: 599 g

作者简介

编者:李大潜 (法国)达拉曼(Alain Damlamian) (法国)米拉(Bernadette Miara)

内容简介

《多尺度问题:理论、数值逼近及应用(国内英文版)》内容简介:The focus of this is on the latest developments related to theanalysis of problems in which several scales are presented.After a theoretical presentation of the theory of homogenizationin the periodic case, the other contributions address a widerange of applications in the fields of elasticity (asymptoticbehavior of nonlinear elastic thin structures, modeling of junction of a periodic family of rods with a plate) and fluidmechanics (stationary Navier-Stokes equations in porousmedia). Other applications concern the modeling of newcomposites (electromagnetic and piezoelectric materials)and imperfect transmission problems. A detailed approach of numerical finite element methods is also investigated.

目录

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 AbduUe

A Priori and a Posteriori Error Analysis for Numerical

Homogenization: A Unified Framework

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