The meshless regular hybrid boundary node method for 2D linear elasticity

The meshless Regular Hybrid Boundary Node Method (RHBNM) is a promising method for solving boundary value problems, and is further developed and numerically implemented for 2D linear elasticity in this paper. The present method is based on a modified functional and the Moving Least Squares (MLS) approximation, and exploits the meshless attributes of the MLS and the reduced dimensionality advantages of the BEM. As a result, the RHBNM is truly meshless, i.e. it only requires nodes constructed on the surface, and absolutely no cells are needed either for interpolation of the solution variables or for the boundary integration. All integrals can be easily evaluated over regular shaped domains and their boundaries. Numerical examples show that the high convergence rates with mesh refinement and the high accuracy with a small node number is achievable. The treatment of singularities and further integrations required for the computation of the unknown domain variables, as in the conventional BEM, can be avoided. (C) 2003 Elsevier Science Ltd. All rights reserved.