Geodesic
Mortar spectral element discretization of the Laplace and Darcy equations with discontinuous coefficients
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 41 (2007) no. 4, pp. 801-824.

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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 : 10.1051/m2an:2007035
Classification : 65N35, 65N55
Keywords: Mortar method, spectral elements, Laplace equation, Darcy equation 
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     title = {Mortar spectral element discretization of the {Laplace} and {Darcy} equations with discontinuous coefficients},
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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 , Tome 41 (2007) no. 4, pp. 801-824. doi : 10.1051/m2an:2007035. http://geodesic.mathdoc.fr/articles/10.1051/m2an:2007035/

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