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

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45 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

Keywords

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

ASJC Scopus subject areas

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

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