| Issue |
ESAIM: M2AN
Volume 41, Number 4, July-August 2007
|
|
|---|---|---|
| Page(s) | 801 - 824 | |
| DOI | https://doi.org/10.1051/m2an:2007035 | |
| Published online | 04 October 2007 | |
Mortar spectral element discretization of the Laplace and Darcy equations with discontinuous coefficients
1
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. bernardi@ann.jussieu.fr
3
Dept. of Mathematics and Statistics, University of
Cyprus, P.O. Box 20537, 1678 Nicosia, Cyprus.
Received:
9
June
2006
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
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