no. 2
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.

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 : 10.1051/m2an:2003031
Classification : 65N12, 65N30, 65F10
Mots clés : finite element methods, non-matching grids, penalty technique 
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     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},
     publisher = {EDP-Sciences},
     volume = {37},
     number = {2},
     year = {2003},
     doi = {10.1051/m2an:2003031},
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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. http://archive.numdam.org/articles/10.1051/m2an:2003031/

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