| 用自然边界元法计算位势问题的近边界位势梯度 |
| |
| 引用本文： | 牛忠荣,杨智勇,周焕林.用自然边界元法计算位势问题的近边界位势梯度[J].合肥工业大学学报(自然科学版),2005,28(9):1167-1170. |
| |
| 作者姓名： | 牛忠荣 杨智勇 周焕林 |
| |
| 作者单位： | 合肥工业大学,土木建筑工程学院,安徽,合肥,230009 |
| |
| 基金项目： | 国家自然科学基金资助项目(10272039)，安徽省自然科学基金资助项目(050440503) |
| |
| 摘 要： | 在二维位势问题中,位势导数场边界积分方程通常衍生出超奇异积分问题。通过新边界变量的替换消除了常规的位势导数边界积分方程中超奇异积分,推导出以位势梯度为边界量的自然边界积分方程。在常规的位势边界积分方程执行后,采用自然边界积分方程的边界元分析比常规边界元法得到更加准确的近边界位势梯度;算例显示了自然边界元法的有效性。
|
| 关 键 词： | 边界元法 自然边界积分方程 位势梯度 几乎超奇异积分 |
| 文章编号： | 1003-5060(2005)09-1167-04 |
| 修稿时间： | 2005年4月11日 |
Natural boundary element analysis of the potential derivatives close to the boundary in the potential problems |
| |
| NIU Zhong-rong,YANG Zhi-yong,ZHOU Huan-lin.Natural boundary element analysis of the potential derivatives close to the boundary in the potential problems[J].Journal of Hefei University of Technology(Natural Science),2005,28(9):1167-1170. |
| |
| Authors: | NIU Zhong-rong YANG Zhi-yong ZHOU Huan-lin |
| |
| Abstract: | In the potential problems,the hypersingular integral arises from the potential derivative boundary integral equation(BIE).By the transformation of new boundary variables,the hypersingular integral in the conventional potential derivative BIE is eliminated,and a new natural BIE with the boundary potential derivatives in the two-dimensional potential problems is deduced.After using the conventional potential BIE,the natural BIE can be applied to calculating the potential derivatives at the interior points very closer to the boundary in comparison with the conventional boundary element method(BEM).A calculation example is given. |
| |
| Keywords: | BEM natural BIE potential derivative nearly hypersingular integral |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
