Space–time computations in practical engineering applications: a summary of the 25-year history

Tayfun E. Tezduyar, Kenji Takizawa*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

55 Citations (Scopus)


In an article published online in July 2018 it was stated that the algorithm proposed in the article is “enabling practical implementation of the space–time FEM for engineering applications.” In fact, space–time computations in practical engineering applications were already enabled in 1993. We summarize the computations that have taken place since then. These computations started with finite element discretization and are now also with isogeometric discretization. They were all in 3D space and were all carried out on parallel computers. For quarter of a century, these computations brought solution to many classes of complex problems ranging from Orion spacecraft parachutes to wind turbines, from patient-specific cerebral aneurysms to heart valves, from thermo-fluid analysis of ground vehicles and tires to turbocharger turbines and exhaust manifolds.

Original languageEnglish
Pages (from-to)747-753
Number of pages7
JournalComputational Mechanics
Issue number4
Publication statusPublished - 2019 Apr 15


  • Finite element discretization
  • Fluid mechanics
  • Fluid–structure interaction
  • Isogeometric discretization
  • Space–time computation

ASJC Scopus subject areas

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


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