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Penalty algorithm adapted for the spectral element discretization of the Darcy equations
Journal article   Open access  Peer reviewed

Penalty algorithm adapted for the spectral element discretization of the Darcy equations

Mohamed Abdelwahed and Nejmeddine Chorfi
Boundary value problems, Vol.2019(1), pp.1-12
01/12/2019
DOI: https://doi.org/10.1186/s13661-019-01305-3

Abstract

Analysis Approximations and Expansions Difference and Functional Equations general Mathematics Mathematics and Statistics Ordinary Differential Equations Partial Differential Equations
Any spectral element discretization of the Darcy problem can be efficiently solved by applying the penalty method. This method leads to a system of equations with uncoupled unknowns. We prove a posteriori error estimates for a spectral element discretization of the Darcy problem. The proposed algorithm permits the optimization of the penalty parameter as a function of the error indicators.
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https://doi.org/10.1186/s13661-019-01305-3View
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