On the condition number of boundary integral operators for the exterior Dirichlet problem for the Helmholtz equation
On the condition number of boundary integral operators for the exterior Dirichlet problem for the Helmholtz equation
复制标题
亥姆霍兹方程外狄利克雷问题的边界积分算子的条件数
DOI：
10.1007/bf01400919
复制
发表时间：
1983
影响因子：
2.1
通讯作者：
W. T. Spassov
中科院分区：
文献类型：
--
作者：
R. Kress;W. T. Spassov
总结Brakhage和Werner，Leis和Panich建议减少外部Dirichlet边值问题的Helmholtz方程的第二类积分方程，这是唯一可解的所有频率，寻求解决方案的形式结合双层和单层潜力。我们提出了一个分析的参数耦合的双层和单层潜在的适当选择，以尽量减少条件数的积分算子。
SummaryBrakhage and Werner, Leis and Panich suggested to reduce the exterior Dirichlet boundary value problem for the Helmholtz equation to an integral equation of the second kind which is uniquely solvable for all frequencies by seeking the solution in the form of a combined double- and single-layer potential. We present an analysis of the appropriate choice of the parameter coupling the double- and single-layer potential in order to minimize the condition number of the integral operator.