Finite element methods on non-conforming grids by penalizing the matching constraint
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Volume 37 (2003) no. 2, p. 357-372

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.

DOI : https://doi.org/10.1051/m2an:2003031
Classification:  65N12,  65N30,  65F10
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: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
     publisher = {EDP-Sciences},
     volume = {37},
     number = {2},
     year = {2003},
     pages = {357-372},
     doi = {10.1051/m2an:2003031},
     zbl = {1043.65124},
     mrnumber = {1991206},
     language = {en},
     url = {http://www.numdam.org/item/M2AN_2003__37_2_357_0}
}
Boillat, Eric. Finite element methods on non-conforming grids by penalizing the matching constraint. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Volume 37 (2003) no. 2, pp. 357-372. doi : 10.1051/m2an:2003031. http://www.numdam.org/item/M2AN_2003__37_2_357_0/

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