A finite element method for domain decomposition with non-matching grids
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 37 (2003) no. 2, pp. 209-225.

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.

DOI : https://doi.org/10.1051/m2an:2003023
Classification : 65N30,  65N55
Mots clés : Nitsche's method, domain decomposition, non-matching grids
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title = {A finite element method for domain decomposition with non-matching grids},
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Becker, Roland; Hansbo, Peter; Stenberg, Rolf. A finite element method for domain decomposition with non-matching grids. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 37 (2003) no. 2, pp. 209-225. doi : 10.1051/m2an:2003023. http://www.numdam.org/articles/10.1051/m2an:2003023/

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