Abstract
This study combines the boundary integral equation (BIE) method and improved moving least-squares (IMLS) approximation to present a direct meshless boundary integral equation method, the boundary element-free method (BEFM) for three-dimensional elasticity. Based on the improved moving least-squares approximation and the boundary integral equation for three-dimensional elasticity, the formulae of the boundary element-free method are given, and the numerical procedure is also shown. Unlike other meshless boundary integral equation methods, the BEFM is a direct numerical method in which the basic unknown quantity is the real solution of the nodal variables, and the boundary conditions can be applied directly and easily, thus giving it a greater computational precision. Three selected numerical examples are presented to demonstrate the method. © Springer-Verlag 2005.
| Original language | English |
|---|---|
| Pages (from-to) | 13-20 |
| Journal | Computational Mechanics |
| Volume | 36 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - Jun 2005 |
Research Keywords
- Boundary element-free method (BEFM)
- Boundary integral equation
- Compact support domain
- Elasticity
- Improved moving least-squares (IMLS) approximation
- Meshless method
- Moving least-squares (MLS) approximation
- Weight function
- Weighted orthogonal function