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    李霞, 李瑞遐. Helmholtz方程外Dirichlet问题的边界积分法[J]. 华东理工大学学报(自然科学版), 2005, (4): 517-520.
    引用本文: 李霞, 李瑞遐. Helmholtz方程外Dirichlet问题的边界积分法[J]. 华东理工大学学报(自然科学版), 2005, (4): 517-520.
    Boundary Integral Method for Exterior Dirichlet Problem of Helmholtz Equation[J]. Journal of East China University of Science and Technology, 2005, (4): 517-520.
    Citation: Boundary Integral Method for Exterior Dirichlet Problem of Helmholtz Equation[J]. Journal of East China University of Science and Technology, 2005, (4): 517-520.

    Helmholtz方程外Dirichlet问题的边界积分法

    Boundary Integral Method for Exterior Dirichlet Problem of Helmholtz Equation

    • 摘要: 通过Helmholtz方程外Dirichlet问题产生的第一类积分方程的核具有对数奇性。将核分成两部分,一部分包含特殊的奇性,另一部分不包含奇性,然后应用Galerkin法解积分方程。文中还讨论了近似解的收敛性并给出了一个数值例子。

       

      Abstract: The kernel in the first kind integral equation arising from exterior Dirichlet problem of Helmholtz equation has a logarithmic singularity. The kernel is splitted into two parts so that the one contains a special singularity and the other doesn't contain any singularity. The Galerkin method is used to solve the integral equation. The convergence of approximate solutions is discussed and a numerical example is given.

       

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