A parallel spectral element method for dynamic three-dimensional nonlinear elasticity problems

S. Dong, Z. Yosibash

Research output: Contribution to journalArticlepeer-review

Abstract

We present a high-order method employing Jacobi polynomial-based shape functions, as an alternative to the typical Legendre polynomial-based shape functions in solid mechanics, for solving dynamic three-dimensional geometrically nonlinear elasticity problems. We demonstrate that the method has an exponential convergence rate spatially and a second-order accuracy temporally for the four classes of problems of linear/geometrically nonlinear elastostatics/elastodynamics. The method is parallelized through domain decomposition and message passing interface (MPI), and is scaled to over 2000 processors with high parallel performance.

Original languageEnglish
Pages (from-to)59-72
Number of pages14
JournalComputers and Structures
Volume87
Issue number1-2
DOIs
StatePublished - Jan 2009
Externally publishedYes

Keywords

  • Exponential convergence
  • Jacobi polynomial
  • Message passing interface
  • Nonlinear elasticity
  • Spectral element method
  • hp finite element method

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