Mortar spectral element discretization of the Laplace and Darcy equations with discontinuous coefficients
Date
2007ISSN
0764-583XSource
Mathematical Modelling and Numerical AnalysisVolume
41Issue
4Pages
801-824Google Scholar check
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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. © EDP Sciences, SMAI 2007.