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The implementation of the mortar spectral element discretization of the heat equation with discontinuous diffusion coefficient
Journal article   Open access  Peer reviewed

The implementation of the mortar spectral element discretization of the heat equation with discontinuous diffusion coefficient

Mohamed Abdelwahed and Nejmeddine Chorfi
Boundary value problems, Vol.2019(1), pp.1-14
24/04/2019
DOI: https://doi.org/10.1186/s13661-019-1195-z

Abstract

Analysis Approximations and Expansions Difference and Functional Equations general Mathematics Mathematics and Statistics Ordinary Differential Equations Partial Differential Equations
We propose to implement the mortar spectral elements discretization of the heat equation in a bounded two-dimensional domain with a piecewise continuous diffusion coefficient. The discretization on time is based on the Euler implicit method. Some numerical experiments and comparisons are performed on whether a conforming or a not conforming domain decomposition.
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https://doi.org/10.1186/s13661-019-1195-zView
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