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 ter 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.
PrefaceAlain DamlamianAn Introduction to Periodic HomogenizationAlain DamlamianThe Periodic Unfolding Method in HomogenizationGabriel Nguetseng and Lazarus SigningDeterministic Homogenization of Stationary Navier-StokesType EquationsPatricia DonatoHomogenization of a Class of Imperfect Transmission ProblemsGeorges GrisoDecompositions of Displacements of Thin StructuresGeorges GrisoDecomposition of Rods Deformations. Asymptotic Behavior ofNonlinear Elastic RodsDominique BlanchardJunction of a Periodic Family of Rods with a Platein ElasticityBernadette MiaraMulti-scale Modelling of New Composites: Theory andNumerical SimulationAssyr AbdulleA Priori and a Posteriori Error Analysis for NumericalHomogenization: A Unified Framework
