Iterative solvers by substructuring for the \(p\)-version finite element method
type: Item
instance of: scholarly article
title: Iterative solvers by substructuring for the \(p\)-version finite element method
zbMATH Open document ID: 0754.73086
DOI: 10.1016/0045-7825(90)90017-G
author: Jan Mandel
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1992-06-25T00:00:00Z
review text: The author has made a study of a class of substructuring methods for iterative solution of large systems of linear equations arising from the \(p\)-version of finite element method. An elementary theory giving bounds on the condition numbers is developed. Numerical experiments are also given for verification of the theory and its illustration.
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 65F10
zbMATH DE Number: 11184
zbMATH Keywords: preconditioned conjugate gradient method
zbMATH Keywords: condition numbers
reviewed by: Prabhat Kumar Mahanti
MaRDI profile type: Publication
cites work: The Construction of Preconditioners for Elliptic Problems by Substructuring. I
cites work: The Construction of Preconditioners for Elliptic Problems by Substructuring, IV
cites work: Q3811643
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cites work: Q3688092
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cites work: Q3826063
cites work: Domain decomposition preconditioning for \(p\)-version finite elements with high aspect ratios
cites work: On block diagonal and Schur complement preconditioning
cites work: Iterative solution of isoparametric spectral element equations by low- order finite element preconditioning
full work available at URL: 0045-7825(90)90017-g
OpenAlex ID: W1992472589
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description: scientific article; zbMATH DE number 11184