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2008•Journal of Shaoyang UniversityRequires access

A Modified Meshless Local Petrov-Galerkin Method for the Elasticity Problem

Wei Hu

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Abstract

The paper presents a modified local Petrov-Galerkin method for analysis of the elasticity problem.The meshless method uses the moving least squares(MLS) approximation,uses the Heaviside function as a test function of the weighted residual method and uses direct interpolation method to enforce essential boundary conditions.Numerical results show that the present method possesses not only feasibility and validity,but also high accuracy and good performance of convergence for the elasticity problem.

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What this paper is about

The paper presents a modified local Petrov-Galerkin method for analysis of the elasticity problem.The meshless method uses the moving least squares(MLS) approximation,uses the Heaviside function as a test function of the weighted residual method and uses direct interpolation method to enforce essential boundary conditions.Numerical results show that the present method possesses not only feasibility and validity,but also high accuracy and good performance of convergence for the elasticity problem.

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Available abstract

The paper presents a modified local Petrov-Galerkin method for analysis of the elasticity problem.The meshless method uses the moving least squares(MLS) approximation,uses the Heaviside function as a test function of the weighted residual method and uses direct interpolation method to enforce essential boundary conditions.Numerical results show that the present method possesses not only feasibility and validity,but also high accuracy and good performance of convergence for the elasticity problem.

Key concepts: Petrov–Galerkin method, Heaviside step function, Moving least squares, Regularized meshless method, Method of mean weighted residuals, Elasticity (physics), Mathematics, Applied mathematics

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