An enforced essential boundary condition by penalty method in the element-free Galerkin (EFG) methods
Author affiliations
DOI:
https://doi.org/10.15625/0866-7136/31/2/5489Abstract
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.
Downloads
Published
17-06-2009
Issue
Section
Research Article
License
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.