A new meshless regular hybrid boundary node method

摘要

A new Regular Hybrid Boundary Node Method based on a modified functional and the Moving Least Squares approximation is developed in this paper, which combines the advantages of both the Meshless Local Boundary Integral Equation and the Boundary Node Method (BNM). Numerical examples for the solution of 2-D Laplace equation show that high rates of convergence with mesh refinement and high accuracy of results with a small number of nodes are achievable. No singularities are involved and no further integrations are required for computing the unknown variables inside the domain as in the conventional boundary element models and BNM.