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darcy equation.

ESAIM: Mathematical Modelling and Numerical Analysis (1)

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Mortar spectral element discretization of the Laplace and Darcy equations with discontinuous coefficients
Zakaria Belhachmi, Christine Bernardi, Andreas Karageorghis
Journal:

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 41 / Issue 4 / July 2007

Published online by Cambridge University Press:

04 October 2007, pp. 801-824

Print publication:

July 2007
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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.