Open Access

ARTICLE

Meshless Local Petrov-Galerkin (MLPG) Mixed Collocation Method For Elasticity Problems

S. N. Atluri¹, H. T. Liu², Z. D. Han²

1 Center for Aerospace Research & Education, University of California, Irvine
2 Knowledge Systems Research, LLC, Forsyth, GA

Computer Modeling in Engineering & Sciences 2006, 14(3), 141-152. https://doi.org/10.3970/cmes.2006.014.141

Abstract

The Meshless Local Petrov-Galerkin (MLPG) mixed collocation method is proposed in this paper, for solving elasticity problems. In the present MLPG approach, the mixed scheme is applied to interpolate the displacements and stresses independently, as in the MLPG finite volume method. To improve the efficiency, the local weak form is established at the nodal points, for the stresses, by using the collocation method. The traction boundary conditions are also imposed into the stress equations directly. It becomes very simple and straightforward to impose various boundary conditions, especially for the high-order PDEs. Numerical examples show that the proposed MLPG mixed collocation method possesses a stable convergence rate, and is more efficient than the other MLPG implementations, including the MLPG finite volume method.

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Keywords

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