双重互易杂交边界点方法在势问题中的应用  

APPLICATION OF DUAL RECIPROCITY HYBRID BOUNDARY NODE METHOD IN POTENTIAL PROBLEMS

作　　者：司马玉洲[1] 朱宏平[1] 苗雨[1] 

机构地区：[1]华中科技大学土木工程与力学学院

出　　处：《力学与实践》2007年第6期37-40,共4页Mechanics in Engineering

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(Z110507)

摘　　要：提出了将杂交边界点法和双重互易法结合求解势问题的一种新的算法.将势问题的解分为通解和特解两部分,通解使用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.数值算例表明了该方法的稳定性和有效性.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 verv simple. Numerical examples show high accuracy and high convergence rates of the presented scheme.

关 键 词：杂交边界点法 双重互易法 势问题 

分 类 号：O343[理学—固体力学]