Efficient domain decomposition preconditioning for the hierarchical \(p\)-version. II
type: Item
instance of: scholarly article
title: Efficient domain decomposition preconditioning for the hierarchical \(p\)-version. II
zbMATH Open document ID: 0991.65132
author: R. Smith
published in: Russian Mathematics
publication date: 2001-10-30T00:00:00Z
review text: This article is a continuation of part I [ibid. 43, No. 5, 35-52 (1999; Zbl 0983.65132)]. From the introduction: As soon as the domain decomposition preconditioner is defined, it can be used in any iterative procedure for the solution of the finite element system such as the preconditioned conjugate gradient, simple iteration, and other methods. In any of them we do not use the preconditioner itself, but the sequence of operations equivalent to the multiplication by the inverse to the preconditioner. Thus we need only to define the inverses to our preconditioners. We do this in Sections 5 and 6.
Mathematics Subject Classification ID: 65N55
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 65F35
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 1541546
zbMATH Keywords: conjugate gradient method
zbMATH Keywords: preconditioning
zbMATH Keywords: \(p\)-version
zbMATH Keywords: domain decomposition
zbMATH Keywords: finite element
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1541546