A posteriori analysis of the spectral element discretization of a non linear heat equation-Reference-Cited by-同舟云学术

A posteriori analysis of the spectral element discretization of a non linear heat equation

Published:2020-08-07 Issue:1 Volume:10 Page:477-493
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 The paper deals with a posteriori analysis of the spectral element discretization of a non linear heat equation. The discretization is based on Euler’s backward scheme in time and spectral discretization in space. Residual error indicators related to the discretization in time and in space are defined. We prove that those indicators are upper and lower bounded by the error estimation.

Publisher

Walter de Gruyter GmbH

Subject

Analysis

Link

https://www.degruyter.com/document/doi/10.1515/anona-2020-0140/pdf

Reference20 articles.

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