On the convergence analysis of a time dependent elliptic equation with discontinuous coefficients-Reference-Cited by-同舟云学术

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

Published:2019-10-16 Issue:1 Volume:9 Page:1145-1160
ISSN:2191-950X
Container-title:Advances in Nonlinear Analysis
language:en
Short-container-title:

Author:

Abdelwahed Mohamed¹,Chorfi Nejmeddine¹

Affiliation:

1. Department of Mathematics, College of Science , King Saud University , P.O. Box 2455 , Riyadh , 11451 , Saudi Arabia

Abstract

Abstract 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.

Publisher

Walter de Gruyter GmbH

Subject

Analysis

Reference14 articles.

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