# 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

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topBelhachmi, 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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