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《MATHEMATICA NUMERICA SINICA》 1998-04
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THE NATURAL INTEGRAL EQUATIONS OF 3-D HARMONIC PROBLEMS AND THEIR NUMERICAL SOLUTIONS

Wu Ji-Ming; Yu De-Hao (State Key Labomtory of Scientific and Engineering Computing,Institute of Computational Mathematics and Scientific/Engineering Computing,Chinese Academy of Sciences, Beijing)  
In this paper the natural boundary reduction, suggested by Feng and Yu[1], is applied to deal with the three-dimensional problems. By expansion in spherical harmonics, we obtain the natural integral equations of harmonic problems over interior and exterior spherical domains. Meanwhile, we develop a numerical method for sloving these equations. Some numerical examples are also given to illustrate our method.
【Fund】: 国家自然科学基金;;攀登计划资助
【CateGory Index】: O241.92
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1 LIU Jing-gang (Department of Applied Mathematics and Physics,North China Electric Power University,Baoding 071003,China);Non-overlapping Domain Decomposition Method Based on the Natural Boundary Reduction Over Unbounded Half Plane[J];Journal of Baoding University;2008-02
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3 ZHANG Tai ping, ZHU Jia lin (Institute of Mathematics and Physics,Chongqing University,Chongqing 400044,China);Boundary Element Methods with Overlapping Domain Decomposition for Parabolic Problem[J];Journal of Chongqing University(Natural Science Edition);2002-02
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1 WU Zheng-peng 1,YU Dao 2 (1:Department of Mathematics&Computer,Beijing broadcast Institute,Beijing 100024 P.R.China) (2:Institute of Matematics,Academy of Mathematics&System Sciences,CAS Beijing 100080 P.R.China);The Probability Method of the Harmonic Equation on the Dirchlet Outer Quesation[J];Journal of Beijing Broadcasting Institute;2003-02
2 Zhou Lin (Dept. of Basic Courses,Benxi College of Metallurgy and Profession,Benxi,Liaoning,117022);A Finite Element Solution to Laplace Equation and some Applications[J];JOURNAL OF BENXI COLLEGE OF METALLURGY;2000-01
3 LI Fei1,2, CHEN Wu1, YUE Jianli2 (1. Dept. of Land Surveying and Geoinformatics, Hong Kong,China; 2. National Lab. for Information Engineering in Surveying and Mapping and Remote Sensing, Wuhan University, Wuhan 430079, China);Physical Geodesy with GPS[J];Acta Geodaetica Et Cartographic Sinica;2003-03
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7 Shao Xianxi Yin Chuancun (Qingdao University,Qingdao 266071) (Qufu Normal University,Qufu 273165);The Joint Distributions of the Hitting Time and Place for Brownian Motion with Drift[J];CHINESE JOURNAL OF ENGINEERING MATHEMATICS;1997-04
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10 Tang Li Yang Wensheng School of Mathematical Sciences and Computing Technology, Central South University, Changsha 410075;THE EXTERIOR DIRICHLET PROBLEM AND BROWNIAN MOTION WITH DRIFT[J];Journal of Systems Science and Mathematical Sciences;2006-04
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