An enforced essential boundary condition by penalty method in the element-free Galerkin (EFG) methods

Nguyen Hoai Son
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Authors

  • Nguyen Hoai Son University of Technical Education Ho Chi Minh City

DOI:

https://doi.org/10.15625/0866-7136/31/2/5489

Abstract

A meshless approach to the analysis of two-dimensional elasticity problems by the Element-Free Galerkin (EFG) method is presented. This method is based on moving least squares approximant (MLS). The unknown function of displacement \(u(x)\) is approximated by moving least square approximants \(u^h (x)\). These approximants are constructed by using a weight function, a monomial basis function and a set of nonconstant coefficients. A subdivision similar to finite element method is used to provide a background mesh for numerical integration. The essential boundary conditions are enforced by Penalty Method. The results are obtained for a two-dimensional problem using different EFG weight functions and compared with the results of finite element method and exact methods.

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Published

17-06-2009

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Section

Research Article