Space-time computation techniques with continuous representation in time (ST-C)

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    44 Citations (Scopus)

    Abstract

    We introduce space-time computation techniques with continuous representation in time (ST-C), using temporal NURBS basis functions. This gives us a temporally smooth, NURBS-based solution, which is desirable in some cases, and a more efficient way of dealing with the computed data. We propose two versions of ST-C. In the first version, the smooth solution is extracted by projection from a solution computed with a different temporal representation, typically a discontinuous one. We use a successive projection technique with a small number of temporal NURBS basis functions at each projection, and therefore the extraction can take place as the solution with discontinuous temporal representation is being computed, without storing a large amount of time-history data. This version is not limited to solutions computed with ST techniques. In the second version, the solution with continuous temporal representation is computed directly by using a small number of temporal NURBS basis functions in the variational formulation associated with each time step.

    Original languageEnglish
    Pages (from-to)91-99
    Number of pages9
    JournalComputational Mechanics
    Volume53
    Issue number1
    DOIs
    Publication statusPublished - 2014 Jan

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    Keywords

    • Continuous representation in time
    • Direct computation
    • NURBS in time
    • Smooth solution in time
    • Space-time techniques
    • Successive projection

    ASJC Scopus subject areas

    • Computational Theory and Mathematics
    • Mechanical Engineering
    • Ocean Engineering
    • Applied Mathematics
    • Computational Mathematics

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