Modified boundary integral formulations for the Helmholtz equation
Modified boundary integral formulations for the Helmholtz equation
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DOI：
10.1016/j.jmaa.2006.08.082
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发表时间：
2007-07
影响因子：
1.3
通讯作者：
S. Engleder;O. Steinbach
中科院分区：
文献类型：
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作者：
S. Engleder;O. Steinbach
本文给出了一类修正的正则化边界积分方程，用于求解具有Dirichlet或Neumann边界条件的Helmholtz方程的外边值问题。我们建立了组合边界积分方程，该方程对所有波数都是唯一可解的，甚至对Lipschitz边界也是如此。该方法扩展和统一了现有的正则化组合边界积分公式。
In this paper we describe some modified regularized boundary integral equations to solve the exterior boundary value problem for the Helmholtz equation with either Dirichlet or Neumann boundary conditions. We formulate combined boundary integral equations which are uniquely solvable for all wave numbers even for Lipschitz boundaries Γ=∂Ω. This approach extends and unifies existing regularized combined boundary integral formulations.