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Multiscale Problems: Theory, Numerical Approximation And Applications, PDF eBook

Multiscale Problems: Theory, Numerical Approximation And Applications PDF

Edited by Damlamian Alain Damlamian, Miara Bernadette Miara, Li Tatsien Li

Part of the Series In Contemporary Applied Mathematics series

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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.

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