| Laplace方程的保角变换降维法 |
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| 引用本文： | 田太心. Laplace方程的保角变换降维法[J]. 电子科技大学学报(自然科学版), 2001, 30(1): 87-90 |
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| 作者姓名： | 田太心 |
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| 作者单位： | 1.电子科技大学应用数学系 成都 610054 |
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| 摘 要： | 通过Laplace方程复杂边值问题的保角变换降维处理,可对各型电容器的设计提供便捷的理论分析方法,并可推广到其他物理问题中的二维和三维Laplace方程复杂边值问题的求解。其优点是避免了数学物理方程中求解的繁琐性及解的适定性讨论,是复杂边值问题求解的又一途径。
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| 关 键 词： | 保角变换 区域 带形区域 降维 |
| 收稿时间： | 2000-03-18 |
Method of Reducing Dimensions for Laplace Equation's Conformal Transformation |
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| Tian Taixin. Method of Reducing Dimensions for Laplace Equation's Conformal Transformation[J]. Journal of University of Electronic Science and Technology of China, 2001, 30(1): 87-90 |
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| Authors: | Tian Taixin |
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| Affiliation: | 1.Dept. of Applied Math.,UEST of China Chengdu 610054 |
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| Abstract: | In this paper, the problem of the reduction of dimensions for Laplace equation(s conformal transformation is discussed. Based on the Schwarz-Christoffel transformation method and mathematical analysis, the method of reducing dimensions for Laplace equation is obtained. The results of this paper are generalized which solve problems of 2-dimension and 3-dimension for Laplace equation, with the boundary problem of complex. |
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