多尺度问题 : 理论、数值逼近及应用
出版社：高等教育出版社
年代：2011
定价：40.0
书籍简介:
本书由高等教育出版社与世界科技出版社(World Scientific)合作出版，在全球范围发行。本书旨在阐明与多尺度问题分析相关的最新进展。在对周期性均质化理论做了理论上的介绍后，文中其他文章介绍了该理论在弹性（弹性薄片结构的渐近行为）和流体力学（多孔介质中的稳定Navier-Stokes方程）领域的广泛应用，以及关于新合成物（电磁和压电介质）的建模和不完全传输问题，并研究了有关的数值有限元方法。本书可供应用数学、力学、物理和工程等专业的教师、学生使用参考。
书籍目录:
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
内容摘要:
《多尺度问题：理论、数值逼近及应用》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.
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