The present paper deals with a finite element approximation of partial differential equations when the domain is decomposed into sub-domains which are meshed independently. The method we obtain is never conforming because the continuity constraints on the boundary of the sub-domains are not imposed strongly but only penalized. We derive a selection rule for the penalty parameter which ensures a quasi-optimal convergence.
Keywords: finite element methods, non-matching grids, penalty technique
@article{M2AN_2003__37_2_357_0,
author = {Boillat, Eric},
title = {Finite element methods on non-conforming grids by penalizing the matching constraint},
journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
pages = {357--372},
year = {2003},
publisher = {EDP Sciences},
volume = {37},
number = {2},
doi = {10.1051/m2an:2003031},
mrnumber = {1991206},
zbl = {1043.65124},
language = {en},
url = {https://www.numdam.org/articles/10.1051/m2an:2003031/}
}
TY - JOUR AU - Boillat, Eric TI - Finite element methods on non-conforming grids by penalizing the matching constraint JO - ESAIM: Modélisation mathématique et analyse numérique PY - 2003 SP - 357 EP - 372 VL - 37 IS - 2 PB - EDP Sciences UR - https://www.numdam.org/articles/10.1051/m2an:2003031/ DO - 10.1051/m2an:2003031 LA - en ID - M2AN_2003__37_2_357_0 ER -
%0 Journal Article %A Boillat, Eric %T Finite element methods on non-conforming grids by penalizing the matching constraint %J ESAIM: Modélisation mathématique et analyse numérique %D 2003 %P 357-372 %V 37 %N 2 %I EDP Sciences %U https://www.numdam.org/articles/10.1051/m2an:2003031/ %R 10.1051/m2an:2003031 %G en %F M2AN_2003__37_2_357_0
Boillat, Eric. Finite element methods on non-conforming grids by penalizing the matching constraint. ESAIM: Modélisation mathématique et analyse numérique, Tome 37 (2003) no. 2, pp. 357-372. doi: 10.1051/m2an:2003031
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