A posteriori analysis of the spectral element discretization of a non linear heat equation
Author:
Affiliation:
1. Department of Mathematics, College of Science , King Saud University , P.O. Box 2455 , Riyadh , 11451 , Saudi Arabia
Abstract
Publisher
Walter de Gruyter GmbH
Subject
Analysis
Link
https://www.degruyter.com/document/doi/10.1515/anona-2020-0140/pdf
Reference20 articles.
1. M. Abdelwahed and N. Chorfi, On the convergence analysis of a time dependent elliptic equation with discontinuous coefficients, Adv. Nonlinear Anal. 2020; 9: 1145-1160.
2. M. Ainsworth and J.T. Oden, Aprocedure for a posteriori error estimation for h-p finite element methods, Comp. Methods in Applied Mech. and Eng. 101 (1992), 73-96.
3. H.W. Alt and S. Luckhaus, Quasilinear elliptic parabolic differential equations, Math. Z. 183 (1983), 311-341.
4. I. Babuška and W.C. Rheinboldt, A posteriori error estimates for the finite element method, Int. J. Numer. Methods Eng. 12 (1978), 1597-1645.
5. A. Bergam, C. Bernardi and Z. Mghazli, A posteriori analysis of the finite element discretization of some parabolic equations, Math. Comput. 74 (2005), 1117-1138.
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