Multiscale problems : theory, numerical approximation and applications
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Bibliographic Information
Multiscale problems : theory, numerical approximation and applications
（Series in Contemporary applied mathematics CAM, 16）
Higher Education Press , World Scientific, c2011
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Includes bibliographical references
Description and Table of Contents
Description
The focus of this is on the latest 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.
Table of Contents
- An Introduction to Periodic Homogenization (Alain Damlamian)
- The Periodic Unfolding Method in Homogenization (Alain Damlamian)
- Homogenization of Navier - Stokes Equations (Gabriel Nguetseng & Lazarus Signing)
- Homogenization of a Class of Imperfect Transmission Problems (Patricia Donato)
- Decompositions of Displacements of Thin Structures (Georges Griso)
- Decomposition of Rods Deformations. Asymptotic Behavior of Nonlinear Elastic Rods (Georges Griso)
- Junction of a Periodic Family of Rods with a Plate in Elasticity (Dominique Blanchard)
- Multi-Scale Modeling of New Composites, Theory and Numerical Simulation (Bernadette Miara)
- A Priori and a Posteriori Analysis for Numerical Homogenization: A Unified Framework (Assyr Abdulle).
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