| 自适应边界元法的后验误差估计 |
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| 引用本文： | 金朝嵩.自适应边界元法的后验误差估计[J].土木与环境工程学报,2000,22(6):16-19. |
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| 作者姓名： | 金朝嵩 |
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| 作者单位： | 重庆建筑大学应用科学与技术系, 重庆 400045 |
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| 摘 要： | 首先在Sobolev空间的框架下，对一般的算子方程的Galerkin逼近给出了后验误差估计的结果。然后，对以有限平面为屏蔽物的声散射问题（其数学模型是三维Helmholtz方程以有限平面为边界的Neumann问题）在三角剖分下给出了其自适应边界元解法的后验误差估计的具体表达式。
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| 关 键 词： | Sobolev空间 自适应边界元法 后验误差估计 |
| 文章编号： | 1006-7329(2000)06-0016-04 |
| 修稿时间： | 2000年5月1日 |
A Posteriori Error Estimates for Adaptive Boundary Element Methods |
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| JIN Chao,song.A Posteriori Error Estimates for Adaptive Boundary Element Methods[J].Journal of Civil and Environmental Engineering,2000,22(6):16-19. |
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| Authors: | JIN Chao song |
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| Abstract: | In this paper a posteriori error estimates for Galerkin approximation of general operator equations is firstly presented in the framework of Sobolev spaces. Then a practical posteriori error estimates formula for the adaptive boundary element method solving the acoustic scattering problem with a finite plane screen is obtained by triangulations. The mathematical model of this problem is the three dimensional Neumann boundary value problem of Helmholtz equation with finite plane boundary. |
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| Keywords: | Sobolev spaces adaptive boundary element methods a posteriori error estimates |
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