| 开弧段外Laplace方程单层位势解法探讨 |
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| 引用本文： | 张洁,杨秀文,许川容.开弧段外Laplace方程单层位势解法探讨[J].后勤工程学院学报,2005,21(1):69-71. |
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| 作者姓名： | 张洁 杨秀文 许川容 |
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| 作者单位： | 后勤工程学院,基础部,重庆,400016;后勤工程学院,基础部,重庆,400016;后勤工程学院,基础部,重庆,400016 |
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| 摘 要： | 由Laplace方程Dirichlet问题产生的第一类积分方程的核具有对数奇异性,并 且积分方程的解在开弧段端点处具有r-1/2的奇异性。为了克服奇异积分计算的困难,将这 种对数奇异性分离出来使用解析积分,其余部分使用数值积分。并用单层位势方法得到该 问题解的近似表达式。
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| 关 键 词： | Laplace方程 积分方程 奇异性 单层位势 |
| 文章编号： | 1672-7843(2005)01-0069-03 |
| 修稿时间： | 2004年10月22 |
Simple Layer Potential Method for the Laplace Equation on Open Curves |
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| ZHANG Jie,YANG Xiu-wen,XU Chuan-rong.Simple Layer Potential Method for the Laplace Equation on Open Curves[J].Journal of Logistical Engineering University,2005,21(1):69-71. |
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| Authors: | ZHANG Jie YANG Xiu-wen XU Chuan-rong |
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| Abstract: | The kernel of the first integral equation which arises from Dirichlet problem of Laplace equation has a Loga rithmic singularity and the solution for the integral equation has r-1/2 singularity at the endpoints of the open curves. In order to a void this singularity, the kernel is divided into two parts. A special singularity is calculated by exactly integral formula and the other is calculated by numerical integral formula . The solution of approximation formula is obtained by simple layer potential method. |
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| Keywords: | Laplace equation inetgral equation singularity simple potential |
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