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A finite element method for domaindecomposition with non-matching grids

Published online by Cambridge University Press:  15 November 2003

Roland Becker ,
Peter Hansbo  and
Rolf Stenberg
Roland Becker
Affiliation:
Institute of Applied Mathematics, University of Heidelberg, INF 294, 69120 Heidelberg, Germany.
Peter Hansbo
Affiliation:
Department of Applied Mechanics, Chalmers University of Technology, 412 96 Göteborg, Sweden. hansbo@am.chalmers.se.
Rolf Stenberg
Affiliation:
Institute of Mathematics, Box 1100, 02015 Helsinki University of Technology, Finland.
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Abstract

In this note, we propose and analyse a method for handling interfaces between non-matching grids based on an approach suggested by Nitsche (1971) 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. Some numerical results are included.

Keywords

Nitsche's methoddomain decompositionnon-matching grids.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 37 , Issue 2 , March 2003 , pp. 209 - 225
Copyright
© EDP Sciences, SMAI, 2003

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