A Finite Element Method for Domain Decomposition with Non-Matching Grids

Roland Becker 1 Peter Hansbo
1 CAIMAN - Scientific computing, modeling and numerical analysis
CRISAM - Inria Sophia Antipolis - Méditerranée , ENPC - École des Ponts ParisTech, CNRS - Centre National de la Recherche Scientifique : UMR6621
Abstract : In this note we propose and analyse a new method for handling interfaces between non-matching grids based on an approach suggested by Nitsche [12] for the approximation of Dirichlet boundary conditions. The exposition is limited to self-adjoint elliptic problems, using Poisson's equation as a model. A priori and a posteriori error estimates are given, and we discuss the relation to the mortar finite element method. Some numerical results are included.
Type de document :
Rapport
RR-3613, INRIA. 1999
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https://hal.inria.fr/inria-00073065
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Soumis le : mercredi 24 mai 2006 - 11:43:56
Dernière modification le : jeudi 11 janvier 2018 - 16:21:44
Document(s) archivé(s) le : dimanche 4 avril 2010 - 21:39:01

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  • HAL Id : inria-00073065, version 1

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Roland Becker, Peter Hansbo. A Finite Element Method for Domain Decomposition with Non-Matching Grids. RR-3613, INRIA. 1999. 〈inria-00073065〉

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