| 位势问题中的自然边界积分方程 |
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| 引用本文： | 牛忠荣,周焕林,王秀喜. 位势问题中的自然边界积分方程[J]. 燕山大学学报, 2004, 28(2): 122-125 |
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| 作者姓名： | 牛忠荣 周焕林 王秀喜 |
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| 作者单位： | 合肥工业大学工程力学系,合肥,230009 |
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| 基金项目： | 国家自然科学基金资助项目(No.10272039)。 |
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| 摘 要： | 研究位势问题中边界积分方程，通过分部积分变换消除了常规的位势导数边界积分方程中超奇异积分，从而获得二维位势问题的自然边界积分方程。该积分方程仅含强奇异积分。基于自然边界积分方程的边界元法比常规边界元法得到更加准确的边界位势导数和内点位势导数。
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| 关 键 词： | 边界元法 位势 自然边界积分方程 超奇异积分 |
| 修稿时间： | 2003-05-10 |
The Natural Boundary Integral Equation in the Potential Problems |
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| Niu Zhongrong Zhou huanlin Wangxiuxi. The Natural Boundary Integral Equation in the Potential Problems[J]. Journal of Yanshan University, 2004, 28(2): 122-125 |
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| Authors: | Niu Zhongrong Zhou huanlin Wangxiuxi |
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| Abstract: | This paper studies the BIE in the potential problems. A series of transformations are manipulated on the conventional potential derivative BIE in order to eliminate the hyper-singularity. It leads to a new natural BIE in the two-dimensional potential problems. The natural BIE only contains the strongly singular integral. As a result, another boundary element analysis according to the natural BIE can obtain more accurate potential derivatives on the boundary in comparison with the conventional BEM. |
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| Keywords: | BEM potential natural BIE hypersingular integral. |
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