Parallel computation of meshless methods for explicit dynamic analysis

Kent T. Danielson*, Su Hao, Wing K Liu, R. Aziz Uras, Shoafan Li

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

36 Scopus citations


A parallel computational implementation of modern meshless methods is presented for explicit dynamic analysis. The procedures are demonstrated by application of the Reproducing Kernel Particle Method (RKPM). Aspects of a coarse grain parallel paradigm are detailed for a Lagrangian formulation using model partitioning. Integration points are uniquely defined on separate processors and particle definitions are duplicated, as necessary, so that all support particles for each point are defined locally on the corresponding processor. Several partitioning schemes are considered and a reduced graph-based procedure is presented. Partitioning issues are discussed and procedures to accommodate essential boundary conditions in parallel are presented. Explicit MPI message passing statements are used for all communications among partitions on different processors. The effectiveness of the procedure is demonstrated by highly deformable inelastic example problems.

Original languageEnglish (US)
Pages (from-to)1323-1341
Number of pages19
JournalInternational Journal for Numerical Methods in Engineering
Issue number7
StatePublished - Mar 10 2000


  • Explicit dynamics
  • Inelasticity
  • Large deformation
  • Meshless methods
  • Parallel computing
  • Reproducing kernel particle methods

ASJC Scopus subject areas

  • Numerical Analysis
  • Engineering(all)
  • Applied Mathematics

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