A finite element method on composite grids based on Nitsche's method
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Volume 37 (2003) no. 3, p. 495-514

In this paper we propose a finite element method for the approximation of second order elliptic problems on composite grids. The method is based on continuous piecewise polynomial approximation on each grid and weak enforcement of the proper continuity at an artificial interface defined by edges (or faces) of one the grids. We prove optimal order a priori and energy type a posteriori error estimates in 2 and 3 space dimensions, and present some numerical examples.

DOI : https://doi.org/10.1051/m2an:2003039
Classification:  65N12,  65N30
Keywords: Nitsche's method, overlapping grids
@article{M2AN_2003__37_3_495_0,
     author = {Hansbo, Anita and Hansbo, Peter and Larson, Mats G.},
     title = {A finite element method on composite grids based on Nitsche's method},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
     publisher = {EDP-Sciences},
     volume = {37},
     number = {3},
     year = {2003},
     pages = {495-514},
     doi = {10.1051/m2an:2003039},
     zbl = {1031.65128},
     language = {en},
     url = {http://www.numdam.org/item/M2AN_2003__37_3_495_0}
}
A finite element method on composite grids based on Nitsche's method. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Volume 37 (2003) no. 3, pp. 495-514. doi : 10.1051/m2an:2003039. http://www.numdam.org/item/M2AN_2003__37_3_495_0/

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