Stability of multi-time step partitioned integrators for first-order finite element systems

Ted Belytschko*, Patrick Smolinski, Kam Liu Wing Kam Liu

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

67 Scopus citations

Abstract

Mixed time integration procedures are those in which different time steps and different integrators are used in different parts of the mesh. A rigorous stability analysis is provided for the first time for this type of time integration for first-order semidiscretizations, such as arise in diffusion problems. The stability analysis is verified by some numerical examples.

Original languageEnglish (US)
Pages (from-to)281-297
Number of pages17
JournalComputer Methods in Applied Mechanics and Engineering
Volume49
Issue number3
DOIs
StatePublished - Jun 1985

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Computer Science Applications

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