一种高阶矩量法迭代求解的预处理技术

A Preconditioner in Iterative Solution of Higher-Order MoMs

频域高阶矩量法越来越多地用于求解目标散射问题。但高阶矩量法得到的矩阵方程中,系数矩阵条件数较差,并且一般为非对角占优阵,通常用计算效率较低的直接方法求解。本文针对叠层高阶基函数的特点,提出了一种函数空间域分解的加性Schwarz预处理技术。通过数值计算,给出了最优分解方案,并数值验证了预处理技术的有效性。

Recently, the higher-order method of moments （HO-MoM） in frequency is frequently used to calculate the electromagnetic scattering, because of its high efficient and accurate. But in the linear system by HO-MoM, the coefficient matrix has a large condition number and is not diagonal dominant. The system is usually solved by direct method with low efficiency. Considered characteristics of hierarchical basis functions, an additive Schwarz preconditioner of functional space decomposition is presented in this paper. Through numerical calculated, a best decomposition procedure is given in this paper, and the preconditioning technique is validated to be efficient.