About: Equivalent operator preconditioning for elliptic problems

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	The numerial solution of linear elliptic partial differential equations most often involves a finite element or finite difference discretization. To preserve sparsity, the arising system is normally solved using an iterative solution method, commonly a preconditioned conjugate gradient method.Preconditioning is a crucial part of such a solution process. In order to enable the solution of very large-scale systems, it is desirable that the total computational cost will be of optimal order, i.e. proportional to the degrees of freedom of the paaroximation used, which also induces mesh independent convergence of the iteration. This paper surveys the equivalent operator approach, which has proven to provide an efficient general framework to construct such preconditioners. The numerial solution of linear elliptic partial differential equations most often involves a finite element or finite difference discretization. To preserve sparsity, the arising system is normally solved using an iterative solution method, commonly a preconditioned conjugate gradient method.Preconditioning is a crucial part of such a solution process. In order to enable the solution of very large-scale systems, it is desirable that the total computational cost will be of optimal order, i.e. proportional to the degrees of freedom of the paaroximation used, which also induces mesh independent convergence of the iteration. This paper surveys the equivalent operator approach, which has proven to provide an efficient general framework to construct such preconditioners. (en)
Title	Equivalent operator preconditioning for elliptic problems Equivalent operator preconditioning for elliptic problems (en)
skos:prefLabel	Equivalent operator preconditioning for elliptic problems Equivalent operator preconditioning for elliptic problems (en)
skos:notation	RIV/68145535:_____/09:00328616!RIV10-AV0-68145535
http://linked.open...avai/riv/aktivita	Z
http://linked.open...avai/riv/aktivity	Z(AV0Z30860518)
http://linked.open...iv/cisloPeriodika	3
http://linked.open...vai/riv/dodaniDat	2010
http://linked.open...aciTvurceVysledku	Axelsson, O.
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Ústav geoniky AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	313466
http://linked.open...ai/riv/idVysledku	RIV/68145535:_____/09:00328616
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Elliptic problem; Conjugate gradient method; preconditioning; equivalent operators; compact operators (en)
http://linked.open.../riv/klicoveSlovo	Elliptic problem preconditioning Conjugate gradient method compact operators equivalent operators
http://linked.open...odStatuVydavatele	NL - Nizozemsko
http://linked.open...ontrolniKodProRIV	[AACFC0B1451A]
http://linked.open...i/riv/nazevZdroje	Numerical Algorithms
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...UplatneniVysledku	2009
http://linked.open...v/svazekPeriodika	50
http://linked.open...iv/tvurceVysledku	Karátson, J. Axelsson, O.
http://linked.open...ain/vavai/riv/wos	000264495700005
http://linked.open...n/vavai/riv/zamer	Fyzikální a environmentální projevy v litosféře indukované antropogenní činností
issn	1017-1398
number of pages	84 (xsd:int)
is http://linked.open...avai/riv/vysledek of	Equivalent operator preconditioning for elliptic problems Equivalent operator preconditioning for elliptic problems Equivalent operator preconditioning for elliptic problems Equivalent operator preconditioning for elliptic problems

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