| 大地测量混合边值问题的自然边界元解法 |
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| 引用本文： | 唐元义,许厚泽.大地测量混合边值问题的自然边界元解法[J].武汉理工大学学报(交通科学与工程版),2009,33(1). |
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| 作者姓名： | 唐元义 许厚泽 |
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| 作者单位： | 1. 中国科学院测量与地球物理研究所,武汉,430077;湖北大学数学与计算机科学学院,武汉,430062;中国科学院研究生院,北京,100049
2. 中国科学院测量与地球物理研究所,武汉,430077 |
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| 摘 要： | 在物理大地测量边值问题的球近似下.将大地测量混合边值问题转化为Neumann外问题,用自然边界元法,对Neumann外问胚进行自然边界归化,得到自然边界积分方程,再求自然边界积分方程的数值解.在球界面下,利用自然边界元方法,将大地测量混合边值问题的求解,转化为线性方程组的求解,而线性方程组的解存在惟一稳定,因而大地测量混合边值问题的解存在惟一稳定.
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| 关 键 词： | 大地测量混合边值问题 自然边界元法 数值解 |
Natural Boundary Element Method for the Geodetic Mixed Boundary Value Problems |
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| Tang Yuan-yi,Xu Hou-ze.Natural Boundary Element Method for the Geodetic Mixed Boundary Value Problems[J].journal of wuhan university of technology(transportation science&engineering),2009,33(1). |
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| Authors: | Tang Yuan-yi Xu Hou-ze |
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| Institution: | Institute of Geodesy and Geophysics;Chinese Academy of Sciences;Wuhan 430077;School of Mathematics & Computer Science;Hubei University;Wuhan 430062;Graduate School of the Chinese Academy of Science;Beijing 100049 |
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| Abstract: | We study a new numerical solution method for the geodetic mixed boundary value problems,which is natural boundary element method.In sphere approximation,the geodetic mixed boundary value problems can be transformed into the Neumann boundary value problem over exterior spherical domain.The natural boundary reduction is applied to deal with the Neumann boundary value problem.By expansion in spherical harmonics,the natural integral equation of the Neumann boundary value problem over exterior spherical domain i... |
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| Keywords: | geodetic mixed boundary value problem natural boundary element method numerical solution |
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