APPLICATION OF DUAL RECIPROCITY HYBRID BOUNDARY NODE METHOD IN POTENTIAL PROBLEMS$
双重互易杂交边界点方法在势问题中的应用

The hybrid boundary node method (HBNM) and the dual reciprocity method (DRM) are combined for solving potential problems in this paper.As a boundary-type meshless method,the HBNM is based on a modified variational principle and moving least squares (MLS) approximation,with the advantages of both BEM and meshless methods.The solution of potential problems is expressed as the sum of a particular solution and a homogeneous solution.The homogeneous solution is solved by means of HBNM,and the particular solution is approximated by using radial base functions.Only for discretely distributed nodal points on the boundary surface of the domain input data are required and without other extra equations to compute internal parameters in the domain.The postprocessing is very simple.Numerical examples show high accuracy and high convergence rates of the presented scheme.