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.
Mots clés : Nitsche's method, domain decomposition, non-matching grids
@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: Mod\'elisation math\'ematique et analyse num\'erique},
pages = {209--225},
publisher = {EDP-Sciences},
volume = {37},
number = {2},
year = {2003},
doi = {10.1051/m2an:2003023},
mrnumber = {1991197},
zbl = {1047.65099},
language = {en},
url = {http://archive.numdam.org/articles/10.1051/m2an:2003023/}
}
TY - JOUR AU - Becker, Roland AU - Hansbo, Peter AU - Stenberg, Rolf TI - A finite element method for domain decomposition with non-matching grids JO - ESAIM: Modélisation mathématique et analyse numérique PY - 2003 SP - 209 EP - 225 VL - 37 IS - 2 PB - EDP-Sciences UR - http://archive.numdam.org/articles/10.1051/m2an:2003023/ DO - 10.1051/m2an:2003023 LA - en ID - M2AN_2003__37_2_209_0 ER -
%0 Journal Article %A Becker, Roland %A Hansbo, Peter %A Stenberg, Rolf %T A finite element method for domain decomposition with non-matching grids %J ESAIM: Modélisation mathématique et analyse numérique %D 2003 %P 209-225 %V 37 %N 2 %I EDP-Sciences %U http://archive.numdam.org/articles/10.1051/m2an:2003023/ %R 10.1051/m2an:2003023 %G en %F M2AN_2003__37_2_209_0
Becker, Roland; Hansbo, Peter; Stenberg, Rolf. A finite element method for domain decomposition with non-matching grids. ESAIM: Modélisation mathématique et analyse numérique, Tome 37 (2003) no. 2, pp. 209-225. doi : 10.1051/m2an:2003023. http://archive.numdam.org/articles/10.1051/m2an:2003023/
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