Mortar spectral element discretization of the Laplace and Darcy equations with discontinuous coefficients

Abstract

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.