A posteriori error estimators for stationary convection–diffusion problems: a computational comparison

  • We consider the scalar convection–diffusion problem in 2-D, present standard and stabilized finite element methods and give a survey of different a posteriori error estimators. These estimators are either based on the evaluation of local residuals or on the solution of discrete local Neumann problems. Besides that, a heuristic indicator based on local averaging techniques for the solution gradient is presented and compared with the estimators. We give an overview of another aspect of adaptive mesh-refinement, namely the decision which elements have to be marked for refinement. Several marking strategies are described and compared.

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Metadaten
Author:Areti PapastavrouORCiD, Rüdiger Verfürth
DOI:https://doi.org/10.1016/S0045-7825(99)00301-1
ISSN:0045-7825
Parent Title (English):Computer Methods in Applied Mechanics and Engineering
Publisher:Elsevier BV
Document Type:Article
Language:English
Reviewed:Begutachtet/Reviewed
Release Date:2024/12/03
Tag:a posteriori error estimators; adaptive mesh-refinement; convection dominated convection–diffusion problem
Volume:189
Issue:2
Pagenumber:14
First Page:449
Last Page:462
institutes:Fakultät Maschinenbau und Versorgungstechnik
Research Themes:Materialien & Produktionstechnik
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