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.
@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: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
volume = {41},
year = {2007},
pages = {801-824},
doi = {10.1051/m2an:2007035},
mrnumber = {2362915},
zbl = {pre05289497},
language = {en},
url = {http://dml.mathdoc.fr/item/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: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 41 (2007) pp. 801-824. doi : 10.1051/m2an:2007035. http://gdmltest.u-ga.fr/item/M2AN_2007__41_4_801_0/
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