Mortar spectral element discretization of the Laplace and Darcy equations with discontinuous coefficients
L.M.A.M. (UMR 7122), Université Paul Verlaine-Metz, Ile de Saulcy, 57045 Metz Cedex 01, France.
2 Laboratoire Jacques-Louis Lions, C.N.R.S. & Université Pierre et Marie Curie, B.C. 187, 4 place Jussieu, 75252 Paris Cedex 05, France. firstname.lastname@example.org
3 Dept. of Mathematics and Statistics, University of Cyprus, P.O. Box 20537, 1678 Nicosia, Cyprus.
Revised: 13 April 2007
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.
Mathematics Subject Classification: 65N35 / 65N55
Key words: Mortar method / spectral elements / Laplace equation / Darcy equation.
© EDP Sciences, SMAI, 2007