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Iterative Solvers within Sequences of Large Linear Systems in Non-linear Structural Mechanics
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SYSNO ASEP 0328909 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Iterative Solvers within Sequences of Large Linear Systems in Non-linear Structural Mechanics Title Iterační metody pro posloupnosti rozsáhlých lineárních systémů v nelineární strukturální mechanice Author(s) Hartmann, S. (DE)
Duintjer Tebbens, Jurjen (UIVT-O) RID, SAI, ORCID
Quint, K.J. (DE)
Meister, A. (DE)Source Title ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik. - : Wiley - ISSN 0044-2267
Roč. 89, č. 9 (2009), s. 711-728Number of pages 18 s. Language eng - English Country DE - Germany Keywords iterative solver ; non-symmetric matrices ; sequences of linear systems ; finite strains ; finite elements Subject RIV BA - General Mathematics R&D Projects KJB100300703 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) CEZ AV0Z10300504 - UIVT-O (2005-2011) UT WOS 000270156700001 EID SCOPUS 68849103142 DOI 10.1002/zamm.200800211 Annotation 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. Workplace Institute of Computer Science Contact Tereza Šírová, sirova@cs.cas.cz, Tel.: 266 053 800 Year of Publishing 2010
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