The application of hypersingular meshless method for electrostatic and electromagnetic wave scattering problems
Date Issued
2005
Date
2005
Author(s)
Lee, Cheng-Wei
DOI
en-US
Abstract
In this thesis, a hypersingular meshless method (HMM) is proposed to solve electrostatic and electromagnetic wave scattering problems. This method modifies the method of fundamental solutions (MFS) by using the desingularized technique to regularize the singularity and hypersingularity of the proposed kernel functions. In the meantime the meshless features of conventional MFS are preserved without singularity and numerical integration. The source points can be located on the real boundary coincident with boundary points since the diagonal terms of influence matrices are determined after the singularity and hypersingularity having being eliminated. So that testing to the controversial off-boundary distance can be avoided. Furthermore, by using the HMM in conjunction with domain decomposition technique, we also solve for the rank-deficiency problem with degenerate boundary. The numerical results are demonstrated it valid and accuracy in solving a number of testing cases for electrostatic and electromagnetic wave scattering problems after comparing with exact solutions and the results made by dual boundary element method.
Subjects
含超強奇異性無網格法
基本解法
雙層勢能
徑向基底函數
去除奇異性技術
靜電問題
電磁波傳問題
完全導體柱
領域分割法
Hypersingular meshless method
method of fundamental solutions
double layer potential
radial basis function
desingularized technique
electrostatic problem
electromagnetic wave scattering problem
perfectly conducting cylinder
multi-domain technique
Type
thesis