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Efficient Finite Element Analysis of Inelastic Structures with Iterative Solvers

Result description

This article treats the efficient solution of linear systems of equations which arise during the iterative process within the finite element analysis of inelastic structures. For the finite element analysis high order time integration methods and diagonally implicit Runge-Kutta methods (DIRK), in combination with an inexact Multilevel-Newton algorithm (MLNA) are applied. Up to 80% of the total computation time is spent by the solver for the linear systems, which suggests investigating this process. Twosimple strategies to speed up the solution of the linear systems are described.

Keywords

inexact multilevel-Newtondiagonally implicit Runge-Kuttafinite element analysislinear solverpreconditioningadaptive stopping criterion

The result's identifiers

Alternative languages

  • Result language

    angličtina

  • Original language name

    Efficient Finite Element Analysis of Inelastic Structures with Iterative Solvers

  • Original language description

    This article treats the efficient solution of linear systems of equations which arise during the iterative process within the finite element analysis of inelastic structures. For the finite element analysis high order time integration methods and diagonally implicit Runge-Kutta methods (DIRK), in combination with an inexact Multilevel-Newton algorithm (MLNA) are applied. Up to 80% of the total computation time is spent by the solver for the linear systems, which suggests investigating this process. Twosimple strategies to speed up the solution of the linear systems are described.

  • Czech name

  • Czech description

Classification

  • Type

    Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

Others

  • Publication year

    2008

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Proceedings in Applied Mathematics and Mechanics

  • ISSN

    1617-7061

  • e-ISSN

  • Volume of the periodical

    8

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    DE - GERMANY

  • Number of pages

    2

  • Pages from-to

  • UT code for WoS article

  • EID of the result in the Scopus database

Result type

Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

Jx

CEP

BA - General mathematics

Year of implementation

2008