| Laplace方程边值问题的边界积分方程法 |
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| 引用本文： | 孙建设,叶留青.Laplace方程边值问题的边界积分方程法[J].数学季刊,2003,18(4):429-434. |
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| 作者姓名： | 孙建设 叶留青 |
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| 作者单位： | DepartmentofMathematics,.liaozuoTeacher‘sCollege,Jiaozuo454001,China |
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| 基金项目： | SupportedbytheNaturalScienceFoundationEducationalCommitteeofHenanProvince( 2 0 0 0 110 0 0 4) |
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| 摘 要： | § 1. Introduction Inengineeringandtechnology ,theproblemofstaticelectricfieldscanbeattributedtotheboundaryproblemofLaplaceequationofstaticeletricpotentialfunction .Themethodsofclassi calmathematicalphysicscanbeonlyusedtosolveboundaryproblemofverysimpledomainandspecialboundarycondition .Althoughthemethodsoflimitedelementscanbeusedtosolvetheproblemsonarbitrarydomain ,butitneedstopartitionthewholedomainandtocalculateverycomplex .Theapproachofboundaryintegralequationistosolverelatedproblemsb…
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| 关 键 词： | 边界积分方程 Laplace方程 边界问题 格林公式 |
A Boundary Integral Equation Approach for Boundary Problem of Laplace Equation |
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| SUNJian-she YELiu-qing.A Boundary Integral Equation Approach for Boundary Problem of Laplace Equation[J].Chinese Quarterly Journal of Mathematics,2003,18(4):429-434. |
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| Authors: | SUNJian-she YELiu-qing |
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| Abstract: | Using the second Green formula, the boundary problem of Laplace equation satisfied by potential function of static electric field is transformed to the problem of the boundary integral equation,and then a boundary integral equation approach is established by partitioning boundary using linear boundary element. |
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| Keywords: | Laplace equation boundary problem static electric field linear boundary element |
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