Abstract

A three-dimensional scalar stationary scattering problem is considered. It is formulated in the form of a weakly singular Fredholm boundary integral equation of the first kind with a single unknown function. The equation is approximated by a system of linear algebraic equations, which is then solved numerically by an iterative method. The mosaic-skeleton method is used at the stage of the approximate solution of this system in order to reduce the computational complexity of the approach.

中文翻译：

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积分形式三维标量散射问题数值解的并行镶嵌-骨架算法

摘要

考虑了三维标量平稳散射问题。它以第一类具有单个未知函数的弱奇异Fredholm边界积分方程的形式表示。该方程由线性代数方程组逼近，然后通过迭代方法进行数值求解。为了降低该方法的计算复杂度，在该系统的近似解阶段使用了马赛克骨架方法。