Description |
1 online resource (vii, 305 pages) : illustrations. |
Physical Medium |
polychrome |
Description |
text file |
Series |
Series in contemporary applied mathematics ; 16
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Series in contemporary applied mathematics ; 16.
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Bibliography |
Includes bibliographical references. |
Contents |
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. |
Summary |
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. |
Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
Subject |
Homogenization (Differential equations) -- Congresses.
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Homogenization (Differential equations) |
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Differential equations, Nonlinear -- Congresses.
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Differential equations, Nonlinear. |
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Mathematical analysis -- Congresses.
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Mathematical analysis. |
Genre/Form |
Electronic books.
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Conference papers and proceedings.
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Conference papers and proceedings.
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Added Author |
Damlamian, Alain.
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Miara, Bernadette.
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Li, Daqian.
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Other Form: |
Print version: Damlamian, Alain. MULTISCALE PROBLEMS : THEORY, NUMERICAL APPROXIMATION AND APPLICATIONS. Singapore : World Scientific Publishing Company, ©2011 9789814366885 |
ISBN |
9789814366892 (electronic book) |
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9814366897 (electronic book) |
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9814366889 |
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9789814366885 |
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