| 一类椭圆型方程边值问题的边界积分方法 |
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| 引用本文： | 丁方允,丁睿.一类椭圆型方程边值问题的边界积分方法[J].兰州大学学报(自然科学版),1999,35(4):25-32. |
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| 作者姓名： | 丁方允 丁睿 |
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| 作者单位： | [1]兰州大学数学系 [2]苏州大学数学系 |
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| 基金项目： | 国家自然科学基金!（19727027），甘肃省自然科学基金!（ZR96002） |
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| 摘 要： | 以粘弹性结构动力响应问题中的一类椭圆边值问题的背景，采用变分方法系统分析了椭圆方程边值问题，相应边界变分方程及近似边界变分方程解的存在惟一性。文末还给出了数值算例。
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| 关 键 词： | 变分方法 边界积分方法 椭圆型方程 边值问题 |
Boundary Integral Method for a Kind of Elliptic Equation Boundary Value Problem |
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| Ding Fangyun ,Ding Rui.Boundary Integral Method for a Kind of Elliptic Equation Boundary Value Problem[J].Journal of Lanzhou University(Natural Science),1999,35(4):25-32. |
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| Authors: | Ding Fangyun Ding Rui |
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| Institution: | Ding Fangyun 1,Ding Rui 2 |
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| Abstract: | A kind of elliptic boundary value problem in the dynamic response of a viscoelastic plate is discussed. By applying the variational method, the existence and uniqueness of the solution for the elliptic boundary value problem, the corresponding boundary variational equation and the approximation boundary variational equation are systematically analyzed.The error estimation of the approximation solution is yielded. The boundary integral method with constraint for boundary value problem is constructed. Finally the numerical experiment is given. |
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| Keywords: | Sobolev space variational method boundary integral method |
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