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	Variational solution about over-determined geodetic boundary value problem and its related theories
	Yu, JinHai ; Peng, FuQing
刊名	Science in China Series D-Earth Sciences
	2007
期号	4页码:555-562
中文摘要	A new solving method for Laplace equation with over-determined geodetic boundary conditions is proposed in the paper, with the help of minimizing some kinds of quadratic functional in calculus of variation. At first, the so-called variational solution for over-determined geodetic boundary value problem is defined in terms of principles in calculus of variation. Then theoretical properties related with the solution are derived, especially for its existence, uniqueness and optimal approximation. And then the computational method of the solution is discussed, and its expression is exhibited under the case that all boundaries are spheres. Finally an arithmetic example about EGM96 gravity field model is given, and the computational results show that the proposed method can efficiently raise accuracy to deal with gravity data. In all, the variational solution of over-determined geodetic boundary value problem can not only fit to deal with many kinds of gravity data in a united form, but also has strict mathematical basements.
原文出处	://WOS:000246273300009
公开日期	2012-04-11
内容类型	期刊论文
源URL	[http://ir.whigg.ac.cn/handle/342008/3464]
专题	测量与地球物理研究所_其他_期刊论文
推荐引用方式 GB/T 7714	Yu, JinHai,Peng, FuQing. Variational solution about over-determined geodetic boundary value problem and its related theories[J]. Science in China Series D-Earth Sciences,2007(4):555-562.
APA	Yu, JinHai,&Peng, FuQing.(2007).Variational solution about over-determined geodetic boundary value problem and its related theories.Science in China Series D-Earth Sciences(4),555-562.
MLA	Yu, JinHai,et al."Variational solution about over-determined geodetic boundary value problem and its related theories".Science in China Series D-Earth Sciences .4(2007):555-562.

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