| GPS-边值问题的自然边界元数值解法 |
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| 引用本文： | 唐元义.GPS-边值问题的自然边界元数值解法[J].武汉理工大学学报(交通科学与工程版),2007,31(2):266-269. |
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| 作者姓名： | 唐元义 |
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| 作者单位： | 中国科学院研究生院,北京,100039;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,430063 |
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| 摘 要： | 对GPS-边值问题进行了讨论.在球近似下将GPS-边值问题转化为Neumann外问题,用自然边界元法进行自然边界归化,得到自然边界积分方程,再求自然边界积分方程的数值解.与其他边界元方法相比,自然边界元法的计算量大大减小,并且具有很好的逼近性质,能有效地处理奇异积分,是求解GPS-边值问题有效方法.
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| 关 键 词： | GPS-边值 自然边界归化 数值解 |
| 修稿时间： | 2006-10-09 |
Numerical Solution of GPS-Boundary Value Problem Based on the Natural Boundary Element Method |
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| Tang Yuanyi.Numerical Solution of GPS-Boundary Value Problem Based on the Natural Boundary Element Method[J].journal of wuhan university of technology(transportation science&engineering),2007,31(2):266-269. |
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| Authors: | Tang Yuanyi |
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| Abstract: | In this paper GPS-boundary value problem(Gravity-BVP) is studied.In sphere approximate,GPS/Gravity-BVP is Neumann problem over exterior spherical domains.Then the natural boundary reduction,suggested by Feng and Yu,is applied to deal with the three dimensional problems.By expansion in spherical harmonics,the natural integral equations of harmonic problems over exterior spherical domains are obtained.Meanwhile,a numerical method for solving geodetic BVP is developed. |
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| Keywords: | GPS/Gravity-BVP natural boundary reduction numerical solution |
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