期刊
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
卷 33, 期 1, 页码 77-82出版社
ELSEVIER SCI LTD
DOI: 10.1016/j.enganabound.2008.03.005
关键词
Moving least-squares (MLS) approximation; Improved moving least-squares (IMLS) approximation; Weighted orthogonal function; Boundary integral equation; Meshless method; Boundary element-free method (BEFM); Potential problems
资金
- National Natural Science Foundation of China [10571118]
Combining the boundary integral equation (BIE) method and improved moving least-squares (IMLS) approximation, a direct meshess BIE method, which is called the boundary element-free method (BEFM), for two-dimensional potential problems is discussed in this paper. In the IMLS approximation, the weighted orthogonal functions are used as the basis functions; then the algebra equation system is not ill-conditioned and call be solved without obtaining the inverse matrix. Based on the IMLS approximation and the BIE for two-dimensional potential problems, the formulae of the BEFM are given. The BEFM is a direct numerical method in which the basic unknown quantity is the real solution of the nodal variables, and the boundary conditions can be applied directly and easily; thus, it gives a greater Computational precision. Some numerical examples are presented to demonstrate the method. (c) 2008 Elsevier Ltd. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据