A Complex Variable Boundary Element-Free Method for Potential and Helmholtz Problems in Three Dimensions

被引：4
|
作者：
Li, Xiaolin [1 ]
Zhang, Shougui [1 ]
Wang, Yan [1 ]
Chen, Hao [1 ]
机构：
[1] Chongqing Normal Univ, Sch Math Sci, Chongqing 400047, Peoples R China
来源：
INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS | 2020年 / 17卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Meshless method; complex variable boundary element-free method; complex variable moving least squares approximation; 3D problems; boundary integral equations; Helmholtz equation; LEAST-SQUARES APPROXIMATION; FREE GALERKIN METHOD; NUMERICAL-SOLUTION; NODE METHOD; EQUATION;
D O I：
10.1142/S0219876218501293
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The complex variable boundary element-free method (CVBEFM) is a meshless method that takes the advantages of both boundary integral equations (BIEs) in dimension reduction and the complex variable moving least squares (CVMLS) approximation in element elimination. The CVBEFM is developed in this paper for solving 3D problems. This paper is an attempt in applying complex variable meshless methods to 3D problems. Formulations of the CVMLS approximation on 3D surfaces and the CVBEFM for 3D potential and Helmholtz problems are given. In the current implementation, the CVMLS shape function of 3D problems is formed with 1D basis functions, and the boundary conditions in the CVBEFM can he applied directly and easily. Some numerical examples are presented to demonstrate the method.
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页数：18
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