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

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.

Downloads

Download data is not yet available.

Metrics

Metrics Loading ...

Downloads

Published

17-06-2009

How to Cite

Son, N. H. (2009). An enforced essential boundary condition by penalty method in the element-free Galerkin (EFG) methods. Vietnam Journal of Mechanics, 31(2), 122–132. https://doi.org/10.15625/0866-7136/31/2/5489

Issue

Section

Research Article