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《Journal of Baoding University》 2008-02

## Non-overlapping Domain Decomposition Method Based on the Natural Boundary Reduction Over Unbounded Half Plane

LIU Jing-gang (Department of Applied Mathematics and Physics,North China Electric Power University,Baoding 071003,China)
Based on the theory of natural boundary reduction,non-overlapping domain decomposition method is applied to elliptic boundary value problems on a kind of unbounded half plane with a cave. It is proved that the convergence rate of the algorithm is independent of the finite element mesh size. With proper selection of the relaxation factor it is proved that the convergence rate of the algorithm is geometrical. Furthermore,the general values of the relaxation factor are given. The numerical example shows that the algorithm is effective.
【Fund】： 华北电力大学青年教师科研基金资助项目(200511015)
【CateGory Index】： O175.25;O175.8
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 【References】
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 1 WANG Jia-li,WANG Shou-cheng(School of Mathematics,Hefei University of Technology,Hefei 230009,China);Overlapping Method of Bi-harmonic Equation over a Cave Domain[J];Journal of Anqing Teachers College(Natural Science Edition);2010-04 2 KANG Tong,WU Zheng-peng,YU De-hao (Department of Applied Mathmatics, College of Sciences, Beijing Broadcasting Institute, Beijing, China;Academy of Mathematics and System Science, Chinese Academy of Sciences Beijing, China);An H-based Nonoverlapping Domain Decomposition Method for Eddy Current Problem in the Unbounded Domain[J];Journal of Beijing Broadcasting Institute;2004-04 3 LIU Jing - hong,ZHU Qi - ding (School of Mathematics and Computer Science, Hunan Normal University,Changsha,Hunan,410081);An Extrapolation Method for Collocation Solution of Class of Integral Equation[J];;2004-03 4 YuDehao (Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and System Science, Chinese Academy of Sciences, Beijing 100080).;Natural Boundary Integral Equations and Related Computational Methods[J];Journal of Yanshan University;2004-02 5 CHEN Yi-ming,LI Yu-lian,ZHOU Zhi-quan,WANG Xiao-juan(College of Sciences,Yanshan University,Qinhuangdao,Hebei 066004,China);Quasi wavelet boundary element method of Neumann boundary value problem in angle domain[J];Journal of Yanshan University;2012-01 6 Yang Minzhi,Xu Fang (Shanghai Jiaotong University, Shanghai, 200030);Numerical Thermal Analysis of Cryogenic Component Parts[J];CRYOGENICS AND SUPER CONDUCTIVITY;1998-04 7 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 8 ZHANG Jie1, ZHU Jialin2, ZHANG Kai2 (1. Department of Foundation studies, Logistical Engineering University, Chongqing 400016,China; 2.College of Mathematics and Physics,Chongqing University,Chongqing 400044,China);Galerkin Boundary Element Method for Laplace Equation[J];Journal of Chongqing University(Natural Science Edition);2003-10 9 YUAN Zheng-qiang~(1), YUAN Fei~(1), ZHU Jia-lin~(2)(1.College of Civil Engineering; 2.College of Mathematical and Physical Science, Chongqing University, Chongqing 400030,China);Exact Integration of Constant Element of Elastomer in Boundary Element Method[J];Journal of Chongqing University(Natural Science Edition);2005-08 10 XIANG Rui-yin,ZHU Jia-lin(1.College of Mathematics and Physics,Chongqing University,Chongqing 400030,China;2.Department of Computer Science,Chongqing Three Gorges College,Wanzhou Chongqing 404000,China);Galerkin Boundary Element Method for Plane Stationary Stokes Equation[J];Journal of Chongqing University(Natural Science Edition);2006-02
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