Multiscale problems: theory, numerical approximation and applications
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Körperschaft: ISFMA Symposium "Multiscale Problems: Theory, Numerical Approximation and Applications" <2009, Shanghai, China> (VerfasserIn)
Format: Elektronisch E-Book
Sprache:English
Veröffentlicht: Beijing, China Higher Education Press 2011
Schriftenreihe:Series in contemporary applied mathematics 16
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Beschreibung:Includes bibliographical references
An introduction to periodic homogenization/ Alain Damlamian -- The periodic unfolding method in homogenization/ Alain Damlamian -- Deterministic homogenization of stationary Navier-Stokes type equations / Gabriel Nguetseng and 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 modelling of new composites: theory and numerical simulation / Bernadette Miara -- A priori and a posteriori error analysis for numerical homogenization: a unified framework / Assyr Abdulle
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
Beschreibung:1 Online-Ressource (vii, 305 p.)
ISBN:9789814366885
9789814366892
9814366889
9814366897

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