A finite element method for domain decomposition with non-matching grids
Becker, Roland1 ; Hansbo, Peter ; Stenberg, Rolf
1 Heidelberg University, Germany
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 37 (2003) no. 2, pp. 209-225.

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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.

DOI : 10.1051/m2an:2003023
Classification : 65N30, 65N55
Mots-clés : Nitsche's method, domain decomposition, non-matching grids

Becker, Roland 1 ; Hansbo, Peter  ; Stenberg, Rolf 

1 Heidelberg University, Germany 
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     title = {A finite element method for domain decomposition with non-matching grids},
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Becker, Roland; Hansbo, Peter; Stenberg, Rolf. A finite element method for domain decomposition with non-matching grids. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 37 (2003) no. 2, pp. 209-225. doi : 10.1051/m2an:2003023. https://geodesic-test.mathdoc.fr/articles/10.1051/m2an:2003023/

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