The Babuška-Brezzi condition and the patch test: An example
type: Item
instance of: scholarly article
title: The Babuška-Brezzi condition and the patch test: An example
zbMATH Open document ID: 0883.65069
DOI: 10.1016/S0045-7825(96)01058-4
author: J. Ning
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1997-11-13T00:00:00Z
review text: This paper discusses an example of a mixed finite element method in one dimension which satisfies the engineering patch test, but does not satisfy a uniform inf-sup condition. The inf-sup constant for this method is shown to be of order \(h^2\). The reasons for good results from benchmark problems for this method are addressed by characterizing the nature of input data for which the method performs well. Numerical results illustrating the effect of the non-uniform inf-sup condition are presented.
Mathematics Subject Classification ID: 65L60
Mathematics Subject Classification ID: 34B05
zbMATH DE Number: 1087120
zbMATH Keywords: numerical results
zbMATH Keywords: mixed finite element method
zbMATH Keywords: patch test
zbMATH Keywords: benchmark problems
zbMATH Keywords: non-uniform inf-sup condition
MaRDI profile type: Publication
cites work: The patch test—a condition for assessing FEM convergence
cites work: The patch test for mixed formulations
cites work: The finite element patch test revisited. A computer test for convergence, validation and error estimates
cites work: Finite element methods: Principles for their selection
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description: scientific article; zbMATH DE number 1087120