Open Access

ABSTRACT

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

M.R. Moosavi¹, A. Khelil¹

1 Nancy Université – LEMTA CNRS UMR 7563, IUT Nancy Brabois – Génie Civil, 54601 Villers Les Nancy

The International Conference on Computational & Experimental Engineering and Sciences 2008, 5(4), 211-238. https://doi.org/10.3970/icces.2008.005.211

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.

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Keywords

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