The Regular Hybrid Boundary Node Method is formulated in terms of the domain and boundary variables. The domain variables are interpolated by classical fundamental solutions with the source points located outside the domain; and the boundary variables are interpolated by Moving Least-Squares (MLS) approximation. The main idea is to retain the dimensionality advantages of the BNM, and localize the integrationdomain to a regular sub-domain, as in the MLBIE, such that no mesh is needed for integration. All integrals can be easily evaluated over regular shaped domains (in general, semi-circle in the 2-D problem) and their boundaries.

Numerical examples for the solution of 2-D Laplace equation show that the high convergence rates with mesh reļ¬nement and the high accuracy with a small node number are achievable. The treatment of singularities and further integrations required for the computation of the unknown domain variables, as in the conventional BEM and BNM, can be avoided. KW - DO - 10.3970/cmes.2001.002.307