Full-Text Search:
Home|Journal Papers|About CNKI|User Service|FAQ|Contact Us|中文
《Journal of Baoding University》 2008-02
Add to Favorite Get Latest Update

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
Download(CAJ format) Download(PDF format)
CAJViewer7.0 supports all the CNKI file formats; AdobeReader only supports the PDF format.
【References】
Chinese Journal Full-text Database 2 Hits
1 WANG Wen-li(Anhui Occupational College of City Management,Hefei 230011,China);Non-overlapping Domain Decomposition Method Over Unbounded Half Space[J];College Mathematics;2012-02
2 XIE Yan-yan,WANG Shou-cheng,LI Shu-wen(School of Mathematics,Hefei University of Technology,Hefei Ahui 230009,China);A non-overlapping domain decomposition method for the exterior problem of three-dimensional Helmholtz equation[J];Journal of Fuyang Teachers College(Natural Science);2013-02
【Citations】
Chinese Journal Full-text Database 3 Hits
1 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
2 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
3 Yu De-hao (Institute of Computational Mathematics and Scientifi/Engineering Computing, Chinese Academy of Sciences);DISCRETIZATION OF NON-OVERLAPPING DOMAIN DECOMPOSITION METHOD FOR UNBOUNDED DOMAINS AND ITS COVERCENCE[J];MATHEMATICA NUMERICA SINICA;1996-03
【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 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
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
【Co-references】
Chinese Journal Full-text Database 10 Hits
1 Xu Feng Hong Wei Zhou Houxing (Center for Computational Electromagnetics, Southeast Univ., Nanjing 210096, China);THE DOMAIN DECOMPOSITION FDTD ALGORITHM(DD-FDTD) FOR THREE-DIMENSIONAL COMPLEX PROBLEMS[J];Journal of Electronics and Information Technology;2003-08
2 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
3 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
4 WANG Wen-li(Anhui Occupational College of City Management,Hefei 230011,China);Non-overlapping Domain Decomposition Method Over Unbounded Half Space[J];College Mathematics;2012-02
5 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
6 RU Zhong-liang,YE Ya-qi,ZHAO Hong-bo (College of Civil Engineering,Henan Polytechnical University,Jiaozuo 454003,China);Study on Parallel Finite Element Method Based on Domain Decomposed Method[J];Journal of Henan Polytechnic University(Natural Science);2007-02
7 LI Kai hai (Chengdu Electric Power College, Chengdu 610072, China);Boundary Element Methods with Non-overlapping Doma in Decomposition for Elastodynamics[J];Journal of Chongqing Jianzhu University;2000-06
8 ZHANG Dan-dan (Department of Mathematics,Hefei University of Technology,Hefei 230009,China);On the Non-overlapping Domain Decomposition Methods for Unbouded Domain in Multi-Sub-Domain Case[J];Journal of Jiamusi University(Natural Science Edition);2008-06
9 Feng Kang (Computing Center,Academia Sinica);DIFFERENTIAL VERSUS INTEGRAL EQUATIONS AND FINITE VERSUS INFINITE ELEMENTS[J];Mathematica Numerica Sinica;1980-01
10 Yu De-hao Computing Center, Academia Sinica;CANONICAL INTEGRAL EQUATIONS OF BIHARMONIC ELLIPTIC BOUNDARY VALUE PROBLEMS[J];Mathematica Numerica Sinica;1982-03
【Secondary References】
Chinese Journal Full-text Database 1 Hits
1 XIE Yan-yan,WANG Shou-cheng,LI Shu-wen(School of Mathematics,Hefei University of Technology,Hefei Ahui 230009,China);A non-overlapping domain decomposition method for the exterior problem of three-dimensional Helmholtz equation[J];Journal of Fuyang Teachers College(Natural Science);2013-02
【Secondary Citations】
Chinese Journal Full-text Database 2 Hits
1 Zhu Jia-lin Chongqing Institute of Architecture and Engineering;A BOUNDARY INTEGRAL EQUATION METHOD FOR SOLVING STATIONARY STOKES PROBLEM[J];Mathematica Numerica Sinica;1986-03
2 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
©2006 Tsinghua Tongfang Knowledge Network Technology Co., Ltd.(Beijing)(TTKN) All rights reserved