This paper deals with the mortar spectral element discretization of two equivalent problems, the Laplace equation and the Darcy system, in a domain which corresponds to a nonhomogeneous anisotropic medium. The numerical analysis of the discretization leads to optimal error estimates and the numerical experiments that we present enable us to verify its efficiency.
Mots clés : Mortar method, spectral elements, Laplace equation, Darcy equation
@article{M2AN_2007__41_4_801_0,
author = {Belhachmi, Zakaria and Bernardi, Christine and Karageorghis, Andreas},
title = {Mortar spectral element discretization of the {Laplace} and {Darcy} equations with discontinuous coefficients},
journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
pages = {801--824},
publisher = {EDP-Sciences},
volume = {41},
number = {4},
year = {2007},
doi = {10.1051/m2an:2007035},
mrnumber = {2362915},
language = {en},
url = {http://archive.numdam.org/articles/10.1051/m2an:2007035/}
}
TY - JOUR AU - Belhachmi, Zakaria AU - Bernardi, Christine AU - Karageorghis, Andreas TI - Mortar spectral element discretization of the Laplace and Darcy equations with discontinuous coefficients JO - ESAIM: Modélisation mathématique et analyse numérique PY - 2007 SP - 801 EP - 824 VL - 41 IS - 4 PB - EDP-Sciences UR - http://archive.numdam.org/articles/10.1051/m2an:2007035/ DO - 10.1051/m2an:2007035 LA - en ID - M2AN_2007__41_4_801_0 ER -
%0 Journal Article %A Belhachmi, Zakaria %A Bernardi, Christine %A Karageorghis, Andreas %T Mortar spectral element discretization of the Laplace and Darcy equations with discontinuous coefficients %J ESAIM: Modélisation mathématique et analyse numérique %D 2007 %P 801-824 %V 41 %N 4 %I EDP-Sciences %U http://archive.numdam.org/articles/10.1051/m2an:2007035/ %R 10.1051/m2an:2007035 %G en %F M2AN_2007__41_4_801_0
Belhachmi, Zakaria; Bernardi, Christine; Karageorghis, Andreas. Mortar spectral element discretization of the Laplace and Darcy equations with discontinuous coefficients. ESAIM: Modélisation mathématique et analyse numérique, Tome 41 (2007) no. 4, pp. 801-824. doi : 10.1051/m2an:2007035. http://archive.numdam.org/articles/10.1051/m2an:2007035/
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