Publication Cover
Applicable Analysis
An International Journal
Volume 92, 2013 - Issue 4
141
Views
3
CrossRef citations to date
0
Altmetric
Articles

A posteriori error estimates for H1-Galerkin mixed finite-element method for parabolic problems

&
Pages 855-868 | Received 29 Jun 2011, Accepted 20 Nov 2011, Published online: 21 Dec 2011
 

Abstract

The purpose of this article is to derive a posteriori error estimates for the H 1-Galerkin mixed finite element method for parabolic problems. We study both semidiscrete and fully discrete a posteriori error analyses using standard energy argument. A fully discrete a posteriori error analysis based on the backward Euler method is analysed and upper bounds for the errors are derived. The estimators yield upper bounds for the errors which are global in space and time. Our analysis is based on residual approach and the estimators are free from edge residuals.

AMS Subject Classifications:

Acknowledgements

The authors thank the referee for his valuable comments and suggestions that improved this article.

Log in via your institution

Log in to Taylor & Francis Online

PDF download + Online access

  • 48 hours access to article PDF & online version
  • Article PDF can be downloaded
  • Article PDF can be printed
USD 61.00 Add to cart

Issue Purchase

  • 30 days online access to complete issue
  • Article PDFs can be downloaded
  • Article PDFs can be printed
USD 1,361.00 Add to cart

* Local tax will be added as applicable

Related Research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.