| 样条虚边界元法的数值稳定性与误差估计 |
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| 引用本文： | 苏成,郑淳.样条虚边界元法的数值稳定性与误差估计[J].华南理工大学学报(自然科学版),2003,31(8):53-56. |
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| 作者姓名： | 苏成 郑淳 |
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| 作者单位： | 华南理工大学,土木工程系,广东,广州,510640 |
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| 摘 要： | 样条虚边界元法是针对传统间接奇异边界元法存在的问题而提出的一种半解析半数值方法。它既保留了边界元法的优点，也避开了求解奇异积分方程的问题，在试函数和权函数的选取方面也作出了改进，具有精度好、效率高等优点。本文主要针对弹性力学平面问题样条虚边界元法在数值稳定性与误差估计方面的问题展开讨论，获得了虚边界的布设规律及方法误差的直观度量，为该法的实际应用打下了更好的基础。
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| 关 键 词： | 边界元法 样条函数 样条虚边界元法 数值稳定性 误差估计 |
| 文章编号： | 1000-565X(2003)08-0053-04 |
| 修稿时间： | 2003年5月2日 |
Numerical Stability and Error Estimate of the Spline Fictitious Boundary Element Method |
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| Su Cheng,Zheng Chun.Numerical Stability and Error Estimate of the Spline Fictitious Boundary Element Method[J].Journal of South China University of Technology(Natural Science Edition),2003,31(8):53-56. |
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| Authors: | Su Cheng Zheng Chun |
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| Abstract: | The spline fictitious boundary element method (SFBEM) is a modified method to the conventional indirect singular boundary element method. SFBEM not only retains the advantages of boundary element method, but also avoids solving singular integral equations. Improvements in the choice of trial functions and weight functions have also been made in SFBEM. High accuracy and efficiency have been observed in the method. This paper presents the investigation of numerical stability and error estimate of SFBEM in elastic plane problems. Several conclusions regarding the above issues are obtained in this paper, which lays a solid foundation for its practical application. |
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| Keywords: | boundary element method spline functions spline fictitious boundary element method numerical stability error estimate |
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