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

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

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

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

Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

170 Scopus citations

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 language	English
Pages (from-to)	491-513
Number of pages	23
Journal	CMES - Computer Modeling in Engineering and Sciences
Volume	6
Issue number	6
State	Published - Dec 2004

Keywords

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

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AU - Rajendran, A. M.

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AB - 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.

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KW - Meshless Local Petrov-Galerkin approach (MLPG)

KW - Methods

KW - Mixed

KW - Moving Least Squares (MLS)

KW - Radial Basis Functions (RBF)

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JF - CMES - Computer Modeling in Engineering and Sciences

SN - 1526-1492

IS - 6

ER -

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

Abstract

Keywords

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