多尺度问题——理论、数值逼近及应用 (国内英文版)
作者： Alain Damlamian, Bernadette Miara, Tatsien Li 主编
出版时间：2011-08-10
出版社：高等教育出版社
- 高等教育出版社
- 9787040317312
- 1
- 254195
- 精装
- 16开
- 2011-08-10
- 400
- 305
- 理学
- 数学
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。
The focus of this book 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.
Front Matter
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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