奇異雜交邊界點(diǎn)方法求解泊松方程

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.

作 者： 司馬玉洲 朱宏平 苗雨 SIMA Yu-zhou ZHU Hong-ping MIAO Yu   作者單位： School of Civil Engineering and Mechanics,Huazhong University of Science and Technology,Wuhan 430074,China  刊 名： 數(shù)學(xué)季刊（英文版）  ISTIC PKU 英文刊名： CHINESE QUARTERLY JOURNAL OF MATHEMATICS  年，卷(期)： 2008 23(2)  分類號： O343.1  關(guān)鍵詞： singular hybrid boundary node method   dual reciprocity method   Poisson equation  

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