| 边界是光滑开弧Helmholtz方程的边界积分法 |
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| 引用本文： | 李瑞遐.边界是光滑开弧Helmholtz方程的边界积分法[J].华东理工大学学报(自然科学版),1999,25(4):410-412. |
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| 作者姓名： | 李瑞遐 |
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| 作者单位： | 华东理工大学数学系 |
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| 摘 要： | 由Ｈｅｌｍｈｏｌｔｚ方程Ｄｉｒｃｈｌｅｔ问题产生的第一类积分方程的核具有对数奇性，并且积分方程的解在开弧端点具有ｒ＾－１／２奇数。将积分方程的核分成两部分，一部分包含特殊的奇性，另一部分不包含奇性，然后应用Ｇａｌｅｒｋｉｎ法和配置法，最后讨论了近似解的收敛性。
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| 关 键 词： | Helmholtz方程 积分方程 Galerkin法 收敛性 |
Boundary Integral Method for Helmholtz Equation with a Smooth Open Arc Boundary |
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| Li Ruixia.Boundary Integral Method for Helmholtz Equation with a Smooth Open Arc Boundary[J].Journal of East China University of Science and Technology,1999,25(4):410-412. |
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| Authors: | Li Ruixia |
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| Abstract: | The kernel in the first integral equation arising from Dirichlet problem of Helmholtz equation has a logarithmic singularity and the solution for the integral equation has r-1/2\|singularity at the endpoints of the open arc. The kernel is splitted into two parts so that the one contains a special singularity and the other doesn't contain any singularity. Galerkin method and collocation method are used and a convergence analysis is given. |
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| Keywords: | Helmholtz equation integral equation Galerkin method convergence |
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