Accuracy and Computational Efficiency of the Finite Volume Method Combined with the Meshless Local Petrov-Galerkin in Comparison with the Finite Element Method in Elasto-static Problem

Reza Moosavi, A Khelil

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Abstract

In this paper, a combined formulation of the Finite Volume Method (FVM) and the Meshless Local Petrov-Galerkin (MLPG) is investigated to solve elasto-static problem. Accuracy and computational efficiency study between the combined formulation and the Finite Element Method (FEM) is presented. Some problems of beam under various loading and boundary conditions are analyzed by the proposed method, and the numerical results are compared with analytical solution and result of other numerical method which is obtained by well-known FEM software ABAQUS. The advantages of the FVM combined MLPG (FVMLPG) with respect to the FEM are illustrated. Higher accuracies and computational efficiencies of the FVMLPG in comparison with the FEM are the most important its benefits.
Original languageEnglish
Pages (from-to)211-238
Number of pages28
JournalThe International Conference on Computational & Experimental Engineering and Sciences
Volume5
Issue number4
DOIs
Publication statusPublished - 2008
Externally publishedYes

Bibliographical note

This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Keywords

  • Meshless Local Petrov-Galerkin
  • Finite volume method
  • Finite element method

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