Computationally efficient multi-time-step method for partitioned time integration of highly nonlinear structural dynamics

Arun Prakash, Ertugrul Taciroglu, Keith Hjelmstad

    Research output: Contribution to journalArticle

    9 Citations (Scopus)

    Abstract

    An efficient and accurate method for solving large-scale problems in non-linear structural dynamics is presented. The method uses dual-Schur domain decomposition to divide a large finite element mesh into a number of smaller subdomains, which are solved independently using a suitable mesh-size and time-step to capture the local spatial and temporal scales of the problem. Continuity of the solution between subdomains is enforced by Lagrange multipliers. It is shown that the proposed method is stable, accurate and computationally more efficient than using a uniform time-step for the entire mesh. Numerical examples are presented to illustrate and corroborate these properties.

    Original languageEnglish (US)
    Pages (from-to)51-63
    Number of pages13
    JournalComputers and Structures
    Volume133
    DOIs
    StatePublished - Mar 2014

    Fingerprint

    Structural Dynamics
    Lagrange multipliers
    Structural dynamics
    Time Integration
    Nonlinear Dynamics
    Mesh
    Decomposition
    Schur Decomposition
    Large-scale Problems
    Domain Decomposition
    Divides
    Entire
    Finite Element
    Numerical Examples

    Keywords

    • Asynchronous integrators
    • Domain decomposition
    • Multi-scale
    • Multi-time-step
    • Structural dynamics
    • Time integration

    ASJC Scopus subject areas

    • Computer Science Applications
    • Civil and Structural Engineering
    • Mechanical Engineering
    • Modeling and Simulation
    • Materials Science(all)

    Cite this

    Computationally efficient multi-time-step method for partitioned time integration of highly nonlinear structural dynamics. / Prakash, Arun; Taciroglu, Ertugrul; Hjelmstad, Keith.

    In: Computers and Structures, Vol. 133, 03.2014, p. 51-63.

    Research output: Contribution to journalArticle

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