A new implementation of the meshless finite volume method, through the MLPG "mixed" approach

S. N. Atluri, Z. D. Han, A. M. Rajendran

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Abstract

The meshless finite volume method (MFVM) was developed for solving elasto-static problems, through a meshless local petrov-galerkin (MLPG) 'mixed' approach. The Heaviside function was used as the test function in the local-weak-form of the equilibrium equation. The strain displacement compatibility was enforced at nodal points by using the collocation method. It was found that the present MFVM method based on the MLPG mixed approach was more suitable for non-linear problems with large deformations.

Original languageEnglish
Pages (from-to)491-513
Number of pages23
JournalCMES - Computer Modeling in Engineering and Sciences
Volume6
Issue number6
StatePublished - Dec 1 2004

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Keywords

  • Finite Volume Methods
  • Meshless Local Petrov-Galerkin approach (MLPG)
  • Methods
  • Mixed
  • Moving Least Squares (MLS)
  • Radial Basis Functions (RBF)

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