Some remarks on structural relations between the tau method and the finite element method
type: Item
instance of: scholarly article
title: Some remarks on structural relations between the tau method and the finite element method
zbMATH Open document ID: 0872.65073
DOI: 10.1016/S0898-1221(97)00010-2
publication date: 1997-10-08T00:00:00Z
review text: In the last years a number of authors (El Daou, Khajah Hosseini and others) discussed relations of equivalence between a variety of differential numerical methods for approximate solutions. This paper deals with the above problem. Here the authors discuss structural relations between the tau method and the finite element method. For the Dirichlet problem in dimensions one and two they show that the difference between the solutions given by each of these methods is bounded by \(O(h)\) in the Sobolev space \(H^1_0 (\Omega)\).
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N35
Mathematics Subject Classification ID: 65L60
Mathematics Subject Classification ID: 34B05
Mathematics Subject Classification ID: 35J05
zbMATH DE Number: 1002341
zbMATH Keywords: finite element method
zbMATH Keywords: tau method
zbMATH Keywords: spectral method
zbMATH Keywords: collocation
zbMATH Keywords: structural relations
author: Eduardo L. Ortiz
author: Alain Pham Ngoc Dinh
reviewed by: V. V. Strygin
MaRDI profile type: Publication
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published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 1002341