About: Iterative Solvers within Sequences of Large Linear Systems in Non-linear Structural Mechanics

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	This article treats the computation of discretized constitutive models of evolutionary-type (like models of viscoelasticity, plasticity, and viscoplasticity) with quasi-static finite elements using diagonally implicit Runge-Kutta methods (DIRK) combined with the Multilevel- Newton algorithm (MLNA). The main emphasis is on promoting iterative methods, as opposed to the more traditional direct methods, for solving the non-symmetric systems which occur within the DIRK/MLNA. It is shown that iterative solution of the arising sequences of linear systems can be substantially accelerated by various techniques that aim at sharing part of the computational effort throughout the sequence. This article treats the computation of discretized constitutive models of evolutionary-type (like models of viscoelasticity, plasticity, and viscoplasticity) with quasi-static finite elements using diagonally implicit Runge-Kutta methods (DIRK) combined with the Multilevel- Newton algorithm (MLNA). The main emphasis is on promoting iterative methods, as opposed to the more traditional direct methods, for solving the non-symmetric systems which occur within the DIRK/MLNA. It is shown that iterative solution of the arising sequences of linear systems can be substantially accelerated by various techniques that aim at sharing part of the computational effort throughout the sequence. (en)
Title	Iterative Solvers within Sequences of Large Linear Systems in Non-linear Structural Mechanics Iterative Solvers within Sequences of Large Linear Systems in Non-linear Structural Mechanics (en)
skos:prefLabel	Iterative Solvers within Sequences of Large Linear Systems in Non-linear Structural Mechanics Iterative Solvers within Sequences of Large Linear Systems in Non-linear Structural Mechanics (en)
skos:notation	RIV/67985807:_____/09:00328909!RIV10-AV0-67985807
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(KJB100300703), Z(AV0Z10300504)
http://linked.open...iv/cisloPeriodika	9
http://linked.open...vai/riv/dodaniDat	2010
http://linked.open...aciTvurceVysledku	Duintjer Tebbens, Jurjen
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 informatiky AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	320544
http://linked.open...ai/riv/idVysledku	RIV/67985807:_____/09:00328909
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	iterative solver; non-symmetric matrices; sequences of linear systems; finite strains; finite elements (en)
http://linked.open.../riv/klicoveSlovo	finite elements iterative solver non-symmetric matrices sequences of linear systems finite strains
http://linked.open...odStatuVydavatele	DE - Spolková republika Německo
http://linked.open...ontrolniKodProRIV	[83041941F66C]
http://linked.open...i/riv/nazevZdroje	ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	4 (xsd:int)
http://linked.open...vavai/riv/projekt	Solution of large, sparse and nonsymmetric linear systems with Krylov subspace methods.
http://linked.open...UplatneniVysledku	2009
http://linked.open...v/svazekPeriodika	89
http://linked.open...iv/tvurceVysledku	Duintjer Tebbens, Jurjen Hartmann, S. Meister, A. Quint, K. J.
http://linked.open...ain/vavai/riv/wos	000270156700001
http://linked.open...n/vavai/riv/zamer	Informatika pro informační společnost: modely, algoritmy, aplikace
issn	0044-2267
number of pages	18 (xsd:int)
is http://linked.open...avai/riv/vysledek of	Iterative Solvers within Sequences of Large Linear Systems in Non-linear Structural Mechanics Iterative Solvers within Sequences of Large Linear Systems in Non-linear Structural Mechanics Iterative Solvers within Sequences of Large Linear Systems in Non-linear Structural Mechanics Iterative Solvers within Sequences of Large Linear Systems in Non-linear Structural Mechanics

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