Multiscale problems : theory, numerical approximation and applications
著者
書誌事項
Multiscale problems : theory, numerical approximation and applications
（Series in Contemporary applied mathematics CAM, 16）
Higher Education Press , World Scientific, c2011
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注記
Includes bibliographical references
内容説明・目次
内容説明
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.
目次
- 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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