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《Journal of Chongqing University(Natural Science Edition)》 2006-03
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Galerkin Boundary Element Method for Two-dimension Laplace Equation of Neumman Condition

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)  
The authors apply the Galenkin variational equation to solve the integral equation with hyper singularity,which can be deduced from the double layer solution for Neumann problem of Laplace equation.The scheme of partial integration in the sense of distributions is introduced to reduce the hyper singularity integral into a weak one with the boundary rotation of unknown function.The numerical implementation with linear boundary elements is presented.The numerical examples illustrate the feasibility and efficiency of the method.
【CateGory Index】: O241.82
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【References】
Chinese Journal Full-text Database 3 Hits
1 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
2 ZHANG Ling-ling 1,ZHU Jia-lin1,LIN-xin 1,ZHANG Shou-gui2,WANG Gui-xue3(1.College of Mathematics and Physics,Chongqing University,Chongqing 400030,P.R.China)(2.College of Mathematics and Computer Science,Chongqing Normal University,Chongqing 400047,P.R.China)(3.College of Bioengineer,Chongqing Normal University,Chongqing 400030,P.R.China);Garlerkin Boundary Element Method with Hyper Singular integral kernel[J];Journal of Chongqing University;2008-01
3 ZHANG Shou-gui(College of Mathematics and Computer Science,Chongqing Normal University Chongqing 400047 China);Galerkin Solution to a Variational Problem[J];Journal of Xihua University(Natural Science Edition);2006-03
【Citations】
Chinese Journal Full-text Database 1 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
【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 DU Ya-nan,LIU Xiao-yu,WANG Xiao-jun(College of Mathematics and Physics,Chongqing University,Chongqing 400030,China);Comparison of Virtual BEM and Traditional BEM[J];Journal of Chongqing University of Technology(Natural Science);2010-08
8 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
9 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
10 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
China Proceedings of conference Full-text Database 4 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
4 MA Tianshou;CHEN Ping;State Key Lab.of Oil & Gas Reservoir Geology and Exploitation,Southwest Petroleum University;;The application of boundary element method to borehole stability problems in deep formation[A];[C];2014
【Co-references】
Chinese Journal Full-text Database 10 Hits
1 DING Li YUAN Xiu gan (Beijing University of Aeronautics and Astronautics,Dept. of Flight Vehicle Design and Applied Mechanics);Boundary Element Analysis of Temperature Field of Body[J];Journal of Beijing University of Aeronautics and Astronautics;2000-06
2 ZHANG Yao ming, WEN Wei dong (Department of Energy and Dynamics,Nanjing University of Aeronautics and Astronautics, Nanjing 210016,China);Equivalent boundary integral equations with indirect variables for plane potential problems[J];Pure and Applied Mathematics;2003-03
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 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
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 PENG Da-ping, DING Rui (Dept of Mathematics, Suzhou University, Suzhou 215006, China);The Boundary Element Approximation for the Parabolic Variational Inequalities of the Second Kind[J];Journal of Gansu Sciences;2004-01
10 Zang Yuelong; Ji Xing(Xi'an Jiavtong University,710049) (Shanghai, Tonjig University,200092);A SCHEME OF ELIMINATING INTEGRAL SINGULARITY IN BOUNDARY ELEMENT METHOD[J];ACTA MECHANICA SOLIDA SINICA;1994-02
【Secondary References】
Chinese Journal Full-text Database 3 Hits
1 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
2 WANG Shao-min(Dept.of Mathematics and Computer,Dali University,Dali Yunnan 671000,China);Periodic Solutions for a Class of Damped Vibration Problem[J];Journal of Chongqing Normal University(Natural Science);2012-02
3 Cheng Yong-qiang Qin Yu-liang Wang Hong-qiang Li Xiang (School of Electronic Sci.and Eng.,National University of Defense Technology,Changsha 410073,China);Study on ATR-Oriented EM Scattering from Planar Slotted Array Antenna[J];Journal of Electronics & Information Technology;2008-10
【Secondary Citations】
Chinese Journal Full-text Database 2 Hits
1 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
2 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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