A posteriori error estimators for the upstream weighting mixed methods for convection diffusion problems

Dongho Kim, Eun Jae Park

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

In this paper, we design a posteriori error estimators for the mixed finite element approximation of the convection-diffusion problems with dominant convection which exhibit solutions with internal layers and boundary layers. A discontinuous upstream weighting scheme in association with the mixed method is used for the convection term. The a posteriori error estimator yields global upper and local lower bounds on the error measured in the L2-norm. We present several numerical results to show the performance of the error estimator. We find that our estimator is not only reliable and efficient but also robust for various numerical examples.

Original languageEnglish
Pages (from-to)806-820
Number of pages15
JournalComputer Methods in Applied Mechanics and Engineering
Volume197
Issue number6-8
DOIs
Publication statusPublished - 2008 Jan 15

Bibliographical note

Funding Information:
This work is supported in part by Korea Research Foundation KRF 2001-005-D20001.

All Science Journal Classification (ASJC) codes

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Computer Science Applications

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