| NOVEL REGULARIZED BOUNDARY INTEGRAL EQUATIONS FOR POTENTIAL PLANE PROBLEMS |
| |
| 作者姓名： | 张耀明 吕和祥 王利民 |
| |
| 作者单位： | Institute of Applied Mathematics School of Mathematics Shandong University of Technology，Zibo 255049，Shandong Province，P. R. China，Department of Mechanics Dalian University of Technology，Dalian 116024，P. R. China，Institute of Applied Mathematics School of Mathematics Shandong University of Technology Zibo 255049 Shandong Province P. R. China |
| |
| 基金项目： | 国家自然科学基金;山东省自然科学基金 |
| |
| 摘 要： | The universal practices have been centralizing on the research of regulariza-tion to the direct boundary integal equations (DBIEs). The character is elimination of singularities by using the simple solutions. However, up to now the research of regular ization to the first kind integral equations for plane potential problems has never been found in previous literatures. The presentation is mainly devoted to the research on the regularization of the singular boundary integral equations with indirect unknowns. A novel view and idea is presented herein, in which the regularized boundary integral equations with indirect unknowns without including the Cauchy principal value (CPV) and Hadamard-finite-part (HFP) integrals are established for the plane potential problems. With some numerical results, it is shown that the better accuracy and higher efficiency, especially on the boundary, can be achieved by the present system.
|
| 关 键 词： | 势平面 边界积分方程 间接BIEs BIEs正则化 |
| 文章编号： | 10.1007/s10483-006-0902-1 |
| 收稿时间： | 2004-07-31 |
| 修稿时间： | 2006-04-29 |
Novel regularized boundary integral equations for potential plane problems |
| |
| Yao-ming Zhang Doctor,He-xiang Lü,Li-min Wang.NOVEL REGULARIZED BOUNDARY INTEGRAL EQUATIONS FOR POTENTIAL PLANE PROBLEMS[J].Applied Mathematics and Mechanics(English Edition),2006,27(9):1165-1170. |
| |
| Authors: | Yao-ming Zhang Doctor He-xiang Lü Li-min Wang |
| |
| Institution: | 1. Institute of Applied Mathematics, School of Mathematics, Shandong University of Technology, Zibo 255049, Shandong Province, P. R. China
2. Department of Mechanics, Dalian University of Technology, Dalian 116024, P. R. China |
| |
| Abstract: | The universal practices have been centralizing on the research of regulariza-tion to the direct boundary integal equations (DBIEs). The character is elimination of singularities by using the simple solutions. However, up to now the research of regular ization to the first kind integral equations for plane potential problems has never been found in previous literatures. The presentation is mainly devoted to the research on the regularization of the singular boundary integral equations with indirect unknowns. A novel view and idea is presented herein, in which the regularized boundary integral equations with indirect unknowns without including the Cauchy principal value (CPV) and Hadamard-finite-part (HFP) integrals are established for the plane potential problems. With some numerical results, it is shown that the better accuracy and higher efficiency, especially on the boundary, can be achieved by the present system. |
| |
| Keywords: | potential plane problems boundary integral equations (BIEs) indirectBIEs regularization of BIEs |
| 本文献已被 CNKI 万方数据 SpringerLink 等数据库收录！ |
| 点击此处可从《应用数学和力学(英文版)》浏览原始摘要信息 |
| 点击此处可从《应用数学和力学(英文版)》下载免费的PDF全文 |
