| 二维椭圆Neumann问题的边界元解法及其误差分析 |
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| 引用本文： | 金朝嵩.二维椭圆Neumann问题的边界元解法及其误差分析[J].土木与环境工程学报,1990,12(4). |
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| 作者姓名： | 金朝嵩 |
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| 作者单位： | 重庆建筑工程学院基础科学系 |
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| 摘 要： | 本文对二维椭圆型偏微分方程的Neumann边值问题给出了边界元解法,就一般情形详细地进行了误差分析,并得到了最佳估计。为简明计,以Laplace方程作为讨论的框架。
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| 关 键 词： | 边界元法 Sobolev空间 有限元 边界积分方程 |
BOUNDARY ELEMENT METHODS AND ERROR ANALYSIS FOR THE SOLUTION OF ELLIPTIC NEUMANN PROBLEM IN R~2 |
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| Jin Chaosong.BOUNDARY ELEMENT METHODS AND ERROR ANALYSIS FOR THE SOLUTION OF ELLIPTIC NEUMANN PROBLEM IN R~2[J].Journal of Civil and Environmental Engineering,1990,12(4). |
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| Authors: | Jin Chaosong |
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| Affiliation: | Department of Natural Science |
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| Abstract: | This paper presents boundary element methods for the solution of elliptic partial differential equation with Neumann boundary problem in R~2. Total details of error analysis are given for general condition, and optimal estimates are obtained. For simplicity Laplace's equation is discussed in illustration. |
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| Keywords: | boundary element method Sobolev space finite element boundary integral equation |
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