Finite volume meshless local Petrov–Galerkin method in elastodynamic problems

Reza Moosavi, A Khelil

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)


A finite volume meshless local Petrov–Galerkin (FVMLPG) method is presented for elastodynamic problems. It is derived from the local weak form of the equilibrium equations by using the finite volume (FV) and the meshless local Petrov–Galerkin (MLPG) concepts. By incorporating the moving least squares (MLS) approximations for trial functions, the local weak form is discretized, and is integrated over the local subdomain for the transient structural analysis. The present numerical technique imposes a correction to the accelerations, to enforce the kinematic boundary conditions in the MLS approximation, while using an explicit time-integration algorithm. Numerical examples for solving the transient response of the elastic structures are included. The results demonstrate the efficiency and accuracy of the present method for solving the elastodynamic problems.
Original languageEnglish
Pages (from-to)1016-1021
Number of pages6
JournalEngineering Analysis with Boundary Elements
Issue number8-9
Early online date12 May 2009
Publication statusPublished - Aug 2009
Externally publishedYes


  • Finite volume (FV)
  • Meshless local Petrov–Galerkin (MLPG)
  • Elastodynamics


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