二维势问题的杂交边界点法  

A New Hybrid Boundary Node Method for Two-dimensional Potential Problem

作　　者：张见明[1] 姚振汉[1] 李宏 

机构地区：[1]清华大学工程力学系,北京100084 [2]沙市石油钢管厂,荆州市434001

出　　处：《重庆建筑大学学报》2000年第6期105-107,共3页Journal of Chongqing Jianzhu University

摘　　要：提出了二维势问题的杂交边界点求解方法。该方法将用于杂交边界元的修正变分原理与移动最小二乘法结合起来 ,不但具有边界元法降维的优点 ,而且是一种真正的无网格方法 ,即 :该方法既不需要插值网格 ,也不需要积分网格 ,它的输入数据只是求解域边界上的离散分布的点。数值算例表明 :该方法的数值解与解析解吻合得非常好 ,并且收验速度高。域内未知量的计算不需要象在边界元法和边界点法中做的那样 。A new regular hybrid boundary node method based on a modified functional and the moving least squares approximation is developed in this paper, which combines the advantages of both the MLBIE and the BNM. Numerical examples for the solution of 2D Laplace equation show that high rates of convergence with mesh refinement and high accuracy of results with a small number of nodes are achievable. No singularities are involved and no further integration are required for computing the unknown variables inside the domain as in the conventional BEM and BNM.

关 键 词：无网格法 杂交边界点法 移动最小二乘法 

分 类 号：O241.83[理学—计算数学]