奇异杂交边界点方法求解泊松方程  

Solving poisson equation by singular hybrid boundary node method

作　　者：苗雨[1] 晏飞[2] 王元汉[2] 

机构地区：[1]中国科学院岩土力学与工程国家重点实验室,湖北武汉430071 [2]华中科技大学土木工程与力学学院,湖北武汉430074

出　　处：《华中科技大学学报（自然科学版）》2008年第6期106-109,共4页Journal of Huazhong University of Science and Technology(Natural Science Edition)

基　　金：中国科学院武汉岩土力学研究所岩土力学重点实验室开放课题基金资助项目(Z110507)

摘　　要：用奇异杂交边界点法同双重互易法相结合来求解泊松方程,将泊松方程的解分为通解和特解两部分,通解使用奇异杂交边界点方法求解,特解则利用局部径向基函数近似.该方法输入数据只是求解域上离散的点,不需要额外的方程来计算域内物理量,后处理十分简便.数值算例表明,奇异杂交边界点法在求解泊松方程时具有较高的精度和数值稳定性.The dual reciprocity method （DRM） was combined with the singular hybrid boundary node method （SHBNM） to solve poisson equations in which the solution was divided into particular solution and homogeneous solution. The homogeneous solution was solved by means of SHBNM, and the particular solution was approximated by using radial basis functions. Only randomly distributed nodal points on the bounding surface of the domain were required and it did not need extra equations to compute internal parameters in the domain. The postprocess was very simple. Numerical examples show that the presented scheme has its high accuracy and high convergence rate.

关 键 词：奇异杂交边界点法 双重互易法 泊松方程 

分 类 号：O343[理学—固体力学]