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

Zakaria Belhachmi; Christine Bernardi; Andreas Karageorghis

ESAIM: Mathematical Modelling and Numerical Analysis (2007)

  • Volume: 41, Issue: 4, page 801-824
  • ISSN: 0764-583X

Abstract

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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.

How to cite

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Belhachmi, Zakaria, Bernardi, Christine, and Karageorghis, Andreas. "Mortar spectral element discretization of the Laplace and Darcy equations with discontinuous coefficients." ESAIM: Mathematical Modelling and Numerical Analysis 41.4 (2007): 801-824. <http://eudml.org/doc/250046>.

@article{Belhachmi2007,
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. },
author = {Belhachmi, Zakaria, Bernardi, Christine, Karageorghis, Andreas},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Mortar method; spectral elements; Laplace equation; Darcy equation.; mortar method; Darcy equation; optimal error estimates; numerical experiments},
language = {eng},
month = {10},
number = {4},
pages = {801-824},
publisher = {EDP Sciences},
title = {Mortar spectral element discretization of the Laplace and Darcy equations with discontinuous coefficients},
url = {http://eudml.org/doc/250046},
volume = {41},
year = {2007},
}

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
DA - 2007/10//
PB - EDP Sciences
VL - 41
IS - 4
SP - 801
EP - 824
AB - 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.
LA - eng
KW - Mortar method; spectral elements; Laplace equation; Darcy equation.; mortar method; Darcy equation; optimal error estimates; numerical experiments
UR - http://eudml.org/doc/250046
ER -

References

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  12. S. Bertoluzza and V. Perrier, The mortar method in the wavelet context. ESAIM: M2AN35 (2001) 647–673.  
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