无网格虚边界法在无限域问题中的应用  

Application of Meshless Virtual Boundary Method for Calculation of Infinite Domain Problems

作　　者：胡浩军[1,2] 谭飞[1] 王元汉[1] 苗雨[1,3] 孙海涛[1] 

机构地区：[1]华中科技大学土木工程与力学学院,湖北武汉430074 [2]北京军区空军勘查设计院,北京100022 [3]中国科学院岩土力学重点实验室,湖北武汉430071

出　　处：《华中科技大学学报（城市科学版）》2008年第3期132-135,共4页Journal of Huazhong University of Science and Technology

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：采用具有紧支特性的样条函数构造近似函数,将无网格虚边界法应用于无限域问题的求解。该方法既具有无网格法不依赖网格和边界元降维的优势,同时虚边界和真实边界的分离又消除了边界型方法存在的奇异积分、边界层效应和角点问题。数值算例表明,该方法具有较高的计算精度和良好的收敛性,适合于求解无限域问题。The approximation functions are constructed based on the compactly supported spline functions. Meshless virtual boundary method is used to calculate the infinite domain problems. This method has the advantages of both the meshless method and BEM. Because there have no intersection between the virtual boundaries and true boundaries, the singular integral, boundary effect and comer problem which are associated with the other boundary type numerical methods disappear. The numerical examples show that this method has high precision and good convergence, and is more suitable for computation of infinite domain problems.

关 键 词：无网格法 虚边界 样条函数 无限域 

分 类 号：O343.1[理学—固体力学] O343.4[理学—力学]