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.
@article{M2AN_2003__37_2_209_0,
author = {Becker, Roland and Hansbo, Peter and Stenberg, Rolf},
title = {A finite element method for domain decomposition with non-matching grids},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
volume = {37},
year = {2003},
pages = {209-225},
doi = {10.1051/m2an:2003023},
mrnumber = {1991197},
zbl = {1047.65099},
language = {en},
url = {http://dml.mathdoc.fr/item/M2AN_2003__37_2_209_0}
}
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) pp. 209-225. doi : 10.1051/m2an:2003023. http://gdmltest.u-ga.fr/item/M2AN_2003__37_2_209_0/
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