Mortar spectral element discretization of the Laplace and Darcy equations with discontinuous coefficients
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Volume 41 (2007) no. 4, p. 801-824

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.

DOI : https://doi.org/10.1051/m2an:2007035
Classification:  65N35,  65N55
Keywords: 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: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
     publisher = {EDP-Sciences},
     volume = {41},
     number = {4},
     year = {2007},
     pages = {801-824},
     doi = {10.1051/m2an:2007035},
     zbl = {pre05289497},
     mrnumber = {2362915},
     language = {en},
     url = {http://www.numdam.org/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, Volume 41 (2007) no. 4, pp. 801-824. doi : 10.1051/m2an:2007035. http://www.numdam.org/item/M2AN_2007__41_4_801_0/

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