A FETI-based multi-time-step coupling method for Newmark schemes in structural dynamics

A. Prakash, Keith Hjelmstad

Research output: Contribution to journalArticle

69 Citations (Scopus)

Abstract

We present an efficient and accurate multi-time-step coupling method using FETI domain decomposition for structural dynamics. Using this method one can divide a large structural mesh into a number of smaller subdomains, solve the individual subdomains separately and couple the solutions together to obtain the solution to the original problem. The various subdomains can be integrated in time using different time steps and/or different Newmark schemes. This approach will be most effective for very large-scale simulations on complex geometries. Our coupling method builds upon a method previously proposed by Gravouil and Combescure (GC method). We show that for the simplest case when the same time step is used in all subdomains of the mesh our method reduces to the GC method and is unconditionally stable and energy preserving. In addition, we show that our method possesses these desirable properties for general multi-time-step cases too unlike the GC method which is dissipative. Greater computational efficiency is also achieved through our method by limiting the computation of interface forces to the largest time step as opposed to the smallest time step in the GC method.

Original languageEnglish (US)
Pages (from-to)2183-2204
Number of pages22
JournalInternational Journal for Numerical Methods in Engineering
Volume61
Issue number13
DOIs
StatePublished - Dec 7 2004
Externally publishedYes

Fingerprint

Coupling Method
Structural Dynamics
Structural dynamics
Computational efficiency
Decomposition
Geometry
Mesh
Unconditionally Stable
Complex Geometry
Domain Decomposition
Computational Efficiency
Divides
Limiting

Keywords

  • Domain decomposition
  • FETI
  • Multi-time-step coupling
  • Structural dynamics
  • Time-stepping

ASJC Scopus subject areas

  • Engineering (miscellaneous)
  • Applied Mathematics
  • Computational Mechanics

Cite this

A FETI-based multi-time-step coupling method for Newmark schemes in structural dynamics. / Prakash, A.; Hjelmstad, Keith.

In: International Journal for Numerical Methods in Engineering, Vol. 61, No. 13, 07.12.2004, p. 2183-2204.

Research output: Contribution to journalArticle

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