| 平面Poisson外边值问题 |
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| 引用本文： | 张耀明. 平面Poisson外边值问题[J]. 应用力学学报, 2002, 19(1): 39-43 |
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| 作者姓名： | 张耀明 |
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| 作者单位： | 山东工程学院数理系,淄博,255012 |
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| 摘 要： | 证明平面调和函数的Dirichlet外问题解存在唯一的充要条件；在此基础上，建立Laplace和Poisson外问题的等价边界积分方程；通过实例对传统的边界积分方程进行了讨论，表明它们不具有普遍适用性。
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| 关 键 词： | Laplace外问题 Poisson外问题 稳定场问题 平面调和函数 等价边界积分方程 |
| 文章编号： | 1000-4939(2002)01-0039-05 |
| 修稿时间： | 2000-06-30 |
Plane Poisson Exterior Boundary Value Problems |
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| Zhang Yaoming. Plane Poisson Exterior Boundary Value Problems[J]. Chinese Journal of Applied Mechanics, 2002, 19(1): 39-43 |
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| Authors: | Zhang Yaoming |
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| Abstract: | Anecessary and sufficient condition ensuring the existenc e and uniqueness of solution for plane harmo nious Dirichlet exterior problems is provided and fully proved in this paper.Based on the result,the equivalent boundary integral equations (EBIE) with direct variables for Laplace's and Po isson'sexterior problems are es tablished.The conventionally prevailing BIE is discussed thoroughly by some examples.It is shown that the previous results are universally practical. |
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| Keywords: | Laplace exterior problem Poisson exterior problem EBIE. |
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