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

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F09%3A00328909" target="_blank" >RIV/67985807:_____/09:00328909 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

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

  • Original language 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) combinedwith 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.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/KJB100300703" target="_blank" >KJB100300703: Solution of large, sparse and nonsymmetric linear systems with Krylov subspace methods.</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2009

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik

  • ISSN

    0044-2267

  • e-ISSN

  • Volume of the periodical

    89

  • Issue of the periodical within the volume

    9

  • Country of publishing house

    DE - GERMANY

  • Number of pages

    18

  • Pages from-to

  • UT code for WoS article

    000270156700001

  • EID of the result in the Scopus database