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

Voir la notice de l'article provenant de la source Numdam

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 
@article{M2AN_2007__41_4_801_0,
     author = {Belhachmi, Zakaria and Bernardi, Christine and Karageorghis, Andreas},
     title = {Mortar spectral element discretization of the {Laplace} and {Darcy} equations with discontinuous coefficients},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
     pages = {801--824},
     publisher = {EDP-Sciences},
     volume = {41},
     number = {4},
     year = {2007},
     doi = {10.1051/m2an:2007035},
     mrnumber = {2362915},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/m2an:2007035/}
}
TY  - JOUR
AU  - Belhachmi, Zakaria
AU  - Bernardi, Christine
AU  - Karageorghis, Andreas
TI  - Mortar spectral element discretization of the Laplace and Darcy equations with discontinuous coefficients
JO  - ESAIM: Mathematical Modelling and Numerical Analysis 
PY  - 2007
SP  - 801
EP  - 824
VL  - 41
IS  - 4
PB  - EDP-Sciences
UR  - http://geodesic.mathdoc.fr/articles/10.1051/m2an:2007035/
DO  - 10.1051/m2an:2007035
LA  - en
ID  - M2AN_2007__41_4_801_0
ER  - 
%0 Journal Article
%A Belhachmi, Zakaria
%A Bernardi, Christine
%A Karageorghis, Andreas
%T Mortar spectral element discretization of the Laplace and Darcy equations with discontinuous coefficients
%J ESAIM: Mathematical Modelling and Numerical Analysis 
%D 2007
%P 801-824
%V 41
%N 4
%I EDP-Sciences
%U http://geodesic.mathdoc.fr/articles/10.1051/m2an:2007035/
%R 10.1051/m2an:2007035
%G en
%F M2AN_2007__41_4_801_0
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

Cité par Sources :