中文摘要：

作为一种边界类型无网孔的方法，单个混合边界节点方法( SHBNM )基于修改变化原则和动人的最少的平方( MLS )近似，它因此两个都有边界元素方法( BEM )和无网孔的 method.In 的优点这份报纸，双交换方法( DRM )与 SHBNM 被相结合解决答案在被划分成特别答案的泊松方程，一般 solution.The 将军答案借助于 SHBNM 被完成，并且特别答案是

英文摘要：

As a boundary-type meshless method, the singular hybrid boundary node method（SHBNM） is based on the modified variational principle and the moving least square（MLS） approximation, so it has the advantages of both boundary element method（BEM） and meshless method. In this paper, the dual reciprocity method（DRM） is combined with SHBNM to solve Poisson equation in which the solution is divided into particular solution and general solution. The general solution is achieved by means of SHBNM, and the particular solution is approximated by using the radial basis function（RBF）. Only randomly distributed nodes on the bounding surface of the domain are required and it doesn＇t need extra equations to compute internal parameters in the domain. The postprocess is very simple. Numerical examples for the solution of Poisson equation show that high convergence rates and high accuracy with a small node number are achievable.