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On the convergence analysis of a time dependent elliptic equation with discontinuous coefficients
Journal article   Open access  Peer reviewed

On the convergence analysis of a time dependent elliptic equation with discontinuous coefficients

Mohamed Abdelwahed and Nejmeddine Chorfi
Advances in nonlinear analysis, Vol.9(1), pp.1145-1160
01/01/2020
DOI: https://doi.org/10.1515/anona-2020-0043

Abstract

35J57 65M70 Discontinuous coefficient Elliptic equation Error analysis Mortar spectral element method
In this paper, we consider a heat equation with diffusion coefficient that varies depending on the heterogeneity of the domain. We propose a spectral elements discretization of this problem with the mortar domain decomposition method on the space variable and Euler’s implicit scheme with respect to the time. The convergence analysis and an optimal error estimates are proved.
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https://doi.org/10.1515/anona-2020-0043View
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