A posteriori error analysis for stabilised finite element approximations of transport problems
type: Item
instance of: scholarly article
title: A posteriori error analysis for stabilised finite element approximations of transport problems
zbMATH Open document ID: 0970.65115
DOI: 10.1016/S0045-7825(00)00174-2
author: Paul Houston
author: R. Rannacher
author: Endre Süli
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2001-06-21T00:00:00Z
review text: A posteriori error analysis of finite element approximations to linear transport problems via duality arguments is considered. It is shown that the formal dual finite element approximation is not adequate. The analysis is elucidated first for the one dimensional problem in order to lead the reader to the essential points. In the center is the estimator based on the transposition of the bilinear form for the stabilized finite element method in the multidimensional case. The paper concludes with numerical examples which show that the new approach leads to sharper a posteriori error bounds and to more economical local mesh refinements.
reviewed by: D. Braess
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N50
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 1568553
zbMATH Keywords: a posteriori estimates
zbMATH Keywords: a posteriori error analysis
zbMATH Keywords: finite element
zbMATH Keywords: linear transport problems
zbMATH Keywords: numerical examples
zbMATH Keywords: error bounds
zbMATH Keywords: mesh refinements
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1568553