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Numerical homogeneisation technique with domain decomposition based a-posteriori error estimates

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Abstract

The purpose of the present work is to review some basic numerical homogeneisation techniques for the simulation of multiscale materials and to introduce an error control strategy at the local level. This error control uses an a posteriori error estimate built on a local problem coupling different representative volume elements. It introduces a weakly coupled adjoint problem to be solved say by a direct Schur complement method. Mortar element techniques as introduced in domain decomposition techniques are used to couple in a weak and cheap form the different representative elements in the error analysis. The strategy is numerically assessed on a model two dimensional problem.

Original languageEnglish
Title of host publicationDomain Decomposition Methods in Science and Engineering XVIII
Pages27-37
Number of pages11
DOIs
Publication statusPublished - 12 Oct 2009
Event18th International Conference of Domain Decomposition Methods - Jerusalem, Israel
Duration: 12 Jan 200817 Jan 2008

Publication series

NameLecture Notes in Computational Science and Engineering
Volume70 LNCSE
ISSN (Print)1439-7358

Conference

Conference18th International Conference of Domain Decomposition Methods
Country/TerritoryIsrael
CityJerusalem
Period12/01/0817/01/08

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