Helmholtz方程外Dirichlet问题的边界积分法
Boundary Integral Method for Exterior Dirichlet Problem of Helmholtz Equation
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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.