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《Journal of Chongqing University(Natural Science Edition)》 2006-02
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Galerkin Boundary Element Method for Plane Stationary Stokes Equation

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)  
The boundary problem of plane stationary Stokes equation is changed into the variation equation which is(equivalent) to the boundary integral equations.With linear boundary elements,it is solved by Galerkin boundary element method.In computation of stiffness matrix,the exactly integral formula is used in the first integral expression.The(numerical) integral formula is used in the second integral expression.The authors deduce the analytical formula of the first integral in detail.The numerical experiments also prove this method is reliable and quickly.The error of Galerkin boundary method is tested with numerical experimentation.
【CateGory Index】: O241.82
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【References】
Chinese Journal Full-text Database 2 Hits
1 WANG Xiao-jun,LIU Xiao-yu,DU Ya-nan (College of Mathematics and Statistics,Chongqing University,Chongqing 400030,China);BEM for Solving Stokes Problem in Complex Connected Domain[J];Journal of Chongqing University of Technology(Natural Science);2011-07
2 Wang Xiaojun Zhu Jialin (College of Mathematics and Statistics,Chongqing University,Chongqing 400030,China);THE BEM FOR SOLVING 2-D STOKES PROBLEM WITH OPEN BOUNDARY[J];Mathematica Numerica Sinica;2010-03
【Citations】
Chinese Journal Full-text Database 3 Hits
1 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
2 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
3 Zhang Yaoming Wen Weidong Wang Limin Zhao Xiqiang Sun Cuilian(Department of Mathematics or Mechanics, Shandong University of Technology,Zibo, 255049) (College of Energy & Power Engineering, Nanjing University of Aeronautics andAstronautics, Nanjing 210016) Department of Mathematics, China Ocean University, Qingdao 266003);NON-SINGULAR FIRST KIND BOUNDARY INTEGRAL EQUATIONS FOR PLANE STATIONARY STOKES PROBLEMS[J];Mathematica Numerica Sinica;2005-01
【Co-citations】
Chinese Journal Full-text Database 10 Hits
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
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 ZHANG Xin-hong,TONG Deng-ke( School of Mathematics and Computational Science,China University of Petroleum,Dongying 257061,China);A new boundary integral-differential equation for three dimensional Helmholtz equation and its boundary element methods[J];Pure and Applied Mathematics;2009-01
4 Fu Yongming;A BOUNDARY ELEMENT METHOD FOR AN OREBODY WITH ELECTROMAGNETIC CONDUCTIVITY IN A TIME-VARIABLE FIELD[J];JOURNAL OF CHENGDU UNIVERSITY OF TECHNOLOGY;1995-03
5 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
6 JIA Li-jun,LIN Xin(College of Mathematics and Physics,Chongqing University,Chongqing 400030,China);Virtual Boundary Collocation Method for 3D Laplace Equation[J];Journal of Chongqing Institute of Technology(Natural Science);2009-03
7 WANG Xiao-jun,LIU Xiao-yu,DU Ya-nan (College of Mathematics and Statistics,Chongqing University,Chongqing 400030,China);BEM for Solving Stokes Problem in Complex Connected Domain[J];Journal of Chongqing University of Technology(Natural Science);2011-07
8 WANG Xue-hai(Mathematics and Physics Department,Henan University of urban construction,Pingdingshan 467036,China);On virtual boundary element method based on double layer potential for unsteady diffusion equation[J];Journal of Henan University of Urban Construction;2011-02
9 ZHANG Shou-gui(College of Mathematics and Computer Science,Chongqing Normal University,Chongqing 400047,China);Galerkin Boundary Element Method in Direct Boundary Integral Equation of 2-D Laplace Equation with Neumann Problem[J];Journal of Chongqing Normal University(Natural Science);2009-04
10 WANG Yong1 CHEN Ren-quan1 YANG Ting-zhi2 PENG Ying2 CHI An-xiang2 (1.Chongqing Electric Power College,Chongqing 400053; 2.Qijiang Power Supply Bureau,Chongqing Electric Power Corp.,Chongqing 401420);Calculation Methods of Power Fequency Electric Field for High Voltage Substation[J];Journal of Chongqing University of Science and Technology(Natural Sciences Edition);2010-02
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 Gu Jinsheng; Hu Xiancheng(Beijing University of Aeronautics and Astronautics,Dept. of Jet Propulsion) (Tsinghua University);DOMAIN DECOMPOSITION METHODS FOR STOKES PROBLEM[J];JOURNAL OF BEIJING UNIVERSITY OF AERONAUTICS AND ASTRONAUTICS;1996-02
2 CHENG Sheng?guo 1, DENG Li?hua 2 (1.Civil Eng. College,Three Gorges Univ., Yichang 443002,China; 2.Electr. College,Three Gorges Univ.,Yichang 443002,China);Solution to the Problem of Stokes by Integral Transformation[J];Journal of Changsha University of Electric Power(Natural Science);2001-02
3 (Xiao Hong),(The College of Mechanical Engineering, Yanshan University, Qinhuangdao 066004). (Hao Yajuan), (Chen Yiming), (Zhang Una),(Liu Ruofei),(Wu Yi), (The College of Sciences, Yanshan University, Qinhuangdao 066004).;The Existence and Uniqueness of Solution of Boundary Variational Inequality for Contact Problem[J];Journal of Yanshan University;2004-01
4 (Chen Yiming),(Hao Yajuan),(WuYi),(Liu Ruofei),(Zhang Lina), (The College of Sciences, Yanshan University, Qinhuangdao 066004).;Boundary Element Method for Signorini Contact Problem and Its Convergence Analysis[J];Journal of Yanshan University;2004-01
5 SA Xiao-ying,ZHOU Wu (College of Computer Science and Technology, Southwest University for Nationalities Chengdu 610041);A Infinite Family of Generalized Set-Valued Quasi-Variational Inequality Problems in Hilbert Spaces[J];Journal of University of Electronic Science and Technology of China;2005-05
6 YUAN Zheng qiang, ZHU Jia lin (College of Civil Engineering, Chongqing University,Chongqing 400045, China);Exact Integration of Biharmonic Equation In Boundary Element Method[J];Journal of Chongqing University(Natural Science Edition);2002-04
7 ZHANG Shou-gui~(1),ZHU Jia-lin~(2),DONG Hai-yun~(2)(1.College of Mathematics and Computer Science,Chongqing Normal University,Chongqing 400047,China;2.College of Mathematics and Physics,Chongqing University,Chongqing 400030,China);Galerkin Boundary Element Method for Two-dimension Laplace Equation of Neumman Condition[J];Journal of Chongqing University(Natural Science Edition);2006-03
8 DONG Hai-yun,ZHU Jia-lin,ZHANG Shou-gui(College of Mathematics and Physics,Chongqing University,Chongqing 400030,China);Galerkin Boundary Element Method for Direct Boundary Integral Eqution for Dirichlet Problem of 2-D Laplace Eqation[J];Journal of Chongqing University(Natural Science Edition);2006-04
9 LIN Jia-fu, LIN Qun ( Department of Applied Mathematics, Beijing Institute of Technology, Beijing 100081; Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080;Superconvergence of a Mixed Finite Element Approximation for Stokes Problem[J];Chinese Journal of Engineering Mathematics;2004-03
10 SHI Dong-yang ZHANG Yi-ran (Department of Mathematics,Zhengzhou University,Zhengzhou 450052);An Anisotropic Nonconforming Finite Element Method for the Stokes Problem[J];Chinese Journal of Engineering Mathematics;2006-06
【Secondary References】
Chinese Journal Full-text Database 2 Hits
1 Cui Yuhuan~1 Qu Jingguo~1 Chen Yiming~2 Yang Aimin~1 (1.Qinggong College,Hebei United University,Tangshan 063000,Hebei,China) (2.College of Sciences,Yanshan University,Qinhuangdao 066004,Hebei,China);BOUNDARY ELEMENT METHOD FOR SOLVING A KIND OF BIHARMONIC EQUATION[J];Mathematica Numerica Sinica;2012-01
2 SHI Gui-cai;YANG Lan-qiang;DAI Guo-zhong;Changzhou Key Lab of Construction Engineering Structure and Material Properties,Changzhou Institute of Technology;State Key Laboratory of Geomechanics and Geotechnical Engineering,Institute of Rock and Soil Mechanics,Chinese Academy of Sciences;;A Porous Grouting Theory Based on Natural Boundary Element Method[J];China Rural Water and Hydropower;2013-12
【Secondary Citations】
Chinese Journal Full-text Database 5 Hits
1 Zhang Yaoming;Sun Huanchun(Dept.of Engineering Mechanics,DUT);Weakly.singular boundary integral equation for thin plate bending theory[J];JOURNAL OF DALIAN UNIVERSITY OF TECHNOLOGY;1996-01
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 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
4 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
5 Zhang Yaoming (Department of Mathematics and Physics,Shandong Institute of Engineering,Zibo 255012);Plane Poisson Exterior Boundary Value Problems[J];Chinese Journal of Applied Mechanics;2002-01
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