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《Journal of Jiamusi University(Natural Science Edition)》 2012-03
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An Circular Artificial Boundary Overlapping Domain Decomposition Algorithm Based on Coordinates Changing and Natural Boundary Reduction Theory

ZUO Wen-qi,WANG Shou-cheng(Hefei University of Technology,School of Mathematics,Hefei 23009,China)  
An circular artificial boundary overlapping domain decomposition algorithm was proposed based on the coordinates changing and natural boundary reduction theory for solving the Helmholtz equation.The algorithm was constructed and the convergence was discussed.It is proved that the convergence rate of the algorithm is geometrical.
【CateGory Index】: O241.82
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【Citations】
Chinese Journal Full-text Database 6 Hits
1 ZHENG Quan, DONG Jun-yu, BAI Rong-xia (College of Sciences, North China University of Technology, Beijing 100144);A Schwarz Alternating Method for the Anisotropic Elliptic Boundary Value Problem on Unbounded Domains[J];Chinese Journal of Engineering Mathematics;2009-03
2 Zhang Min Du Qikui (School of Mathematics and Computer Science,Nanjing Normal University,Nanjing 210097,China);NATURAL BOUNDARY ELEMENT METHOD FOR THE HELMHOLTZ PROBLEM IN AN EXTERIOR ELLIPTIC DOMAIN[J];Mathematica Numerica Sinica;2008-01
3 Yu De-hao (Computing Canter, Academia Sinica);A DOMAIN DECOMPOSITION METHOD BASED ON THE NATURAL BOUNDARY REDUCTION OVER UNBOUNDED DOMAIN[J];MATHEMATICA NUMERICA SINICA;1994-04
4 Zhao Zixia, Du Qikui(School of Mathematics and Computer Science, Nanjing Normal University, Nanjing 210097, China);Natural Boundary Element Method for an Anisotropic Problem in an Exterior Elliptic Domain[J];Journal of Nanjing Normal University(Natural Science Edition);2008-01
5 Zhang Hui1 Wu Zhengpeng2 Yu Dehao2( 1 Department of Applied Mathematics,Beijing Broadcast Institute 2 Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and System Sciences,CAS);An Overlapping Domain Analytic Algorithm Based on Natural Limit Regression for Anisotropic Problems[J];Journal of Capital Normal University;2004-03
6 Jia Zupeng,Yu Dehao (State Key Laboratory of Scientific and Engineering Computing, Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and System Science, Chinese Academy of Science, Beijing 100080, China);THE OVERLAPPING DDM BASED ON NATURAL BOUNDARY REDUCTION FOR 2-D EXTERIOR HELMHOLTZ PROBLEM[J];Journal of Unmerical Methods and Computer Applications;2001-04
【Co-citations】
Chinese Journal Full-text Database 10 Hits
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 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
3 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
4 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
5 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
6 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
7 Yang Minzhi,Xu Fang (Shanghai Jiaotong University, Shanghai, 200030);Numerical Thermal Analysis of Cryogenic Component Parts[J];CRYOGENICS AND SUPER CONDUCTIVITY;1998-04
8 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
9 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
10 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
China Proceedings of conference Full-text Database 3 Hits
1 Zhao Huiming,Dong Zhengzhu,Peng Weihong,Chen Jiarui(Dept.of Mechanics,China University of Mining & Technology,Xuzhou 221008);The Direct Coupling Method of Natural Boundary Element and Finite Element on Elastic Plane Problem in Unbounded Domain[A];[C];2010
2 Wang Yong~1 Hao Zhengwei~2 1.Institute of Electronics,Chinese Academy of Sciences 2.Graduate University of Chinese Academy of Sciences;Boundary Element Method for the Analysis of Eigen-Problems of Three-Dimensional Electromagnetic Field[A];[C];2007
3 Tang yuanyi Xu houze;The Natural Boundary Element Method for the Second Geodetic Boundary Value Problem[A];[C];2009
【Secondary Citations】
Chinese Journal Full-text Database 10 Hits
1 Zhang Shanjie(Department of Electroical Science and Engineering,Nanjing University, Nanjing 210008)Shen Yaochun(Department of Biology Engineering,Southeast University,Nanjing 210018);Numerical Computation of Mathieu Functions[J];ACTA ELECTRONICA SINICA;1995-09
2 WU Ji ming (Institute of Applied Physics and Computational Mathematics, Beijing 100088);An Overlapping Domain Decomposition Method for Exterior Problem in Elongated Domain[J];Chinese Journal of Engineering Mathematics;2001-02
3 Li Zhuxiang (Dept. of Math., Jilin Teacher’s College, Jilin 132011);NOTES ON THE PAPER “EQUIVALENT REPRESENTATIONS OF M MATRIX”[J];APPLIED MATHEMATICS A JOURNAL OF CHINESE UNIVERSITIES;1997-03
4 Li Ruixia (Dept.of Math., East China University of Science and Technology, Shanghai, 200237);THE COUPLING OF NATURAL BEM AND FEM FOR A SCATTERING PROBLEM[J];APPLIED MATHEMATICS A JOURNAL OF CHINESE UNIVERSITIES;1998-03
5 LI Xia, LI Rui-xia*(Department of Mathematics, East China University of Science and Technology, Shanghai 200237, China);Boundary Integral Method for Exterior Dirichlet Problem of Helmholtz Equation[J];Journal of East China University of Science and Technology;2005-04
6 Ji-ining Wu; De-bao Yu(State Key Laboratory of Scientific and Engineering Computing, Institute of ComputationalMathematics and Scientific/Engineering Computing, Chinese Academy of Sciences, Beijing100080, China);THE OVERLAPPING DOMAIN DECOMPOSITION METHODFOR HARMONIC EQUATION OVER EXTERIOR THREE-DIMENSIONAL DOMAIN[J];计算数学(英文版);2000-01
7 Feng Kang (Computing Center,Academia Sinica);DIFFERENTIAL VERSUS INTEGRAL EQUATIONS AND FINITE VERSUS INFINITE ELEMENTS[J];Mathematica Numerica Sinica;1980-01
8 Yu De-hao Computing Center,Academia Sinica;The Coupling of Natural BEM and FEM for Stokes Problem on Unbounded Domain[J];Mathematica Numerica Sinica;1992-03
9 Zheng Quan(North China University of Technology and State Key Laboratory of Scientific/Engineering Computing, Chinese Academy of Sciences, Beijing);AN OVERLAPPING DOMAIN DECOMPOSITION METHOD BASED ON THE NATURAL BOUNDARY REDUCTION FOR UNBOUNDED DOMAINS AND ITS DISCRETIZATION[J];MATHEMATICA NUMERICA SINICA;1998-01
10 Du Qikui; Yu Dehao(State Key Laboratory Of Scientific/Engineering Computing,Institution of Computational Mathematics and Scientific/Engin eering Computing,Chinese Academy of Sciences, Beijing);DISCRETIZATION OF THE COUPLING OF FINITE ELEMENT AND BOUNDARY INTEGRAL AND ITS ERROR ANALYSIS FOR PARABOLIC INITIAL BOUNDARY VALUE PROBLEM[J];MATHEMATICA NUMERICA SINICA;1999-02
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