An iterative solution to acoustic scattering by rigid objects
An iterative solution to acoustic scattering by rigid objects
复制标题
刚性物体声散射的迭代解决方案
DOI：
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发表时间：
1988
期刊：
影响因子：
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通讯作者：
J. Shirron
中科院分区：
文献类型：
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作者：
R. Kleinman;G. Roach;L. S. Schuetz;J. Shirron
将散射问题表示为散射面上的积分方程组。在收敛的诺依曼级数中给出了方程的解，其中收敛依赖于参数α。用边界元方法求其近似解，并用迭代技术求解得到的矩阵方程。给出了几种不同几何形状和频率下的结果。给出了求解时间和精度与高斯消去法等直接方法的比较，表明在大多数有实际意义的情况下，迭代法更经济。最后讨论了迭代参数α的确定及其对收敛速度的影响。
The scattering problem is formulated as an integral equation over the scattering surface. A solution to the equation is given in a convergent Neumann series where the convergence depends on a parameter α. The boundary element method is used to obtain an approximation to the solution, and the resulting matrix equation is solved by an iterative technique. Results are given for several different geometries and frequencies. A comparison of solution time and accuracy to direct methods such as Gaussian elimination is presented, showing the iteration to be more economical in most cases of practical interest. Finally, there is a short discussion on determining the iteration parameter α and its effects on the rate of convergence.