“邻居单元”为基础的预条件方法及其应用

该文提出了一种具有物理意义的预条件方法--"邻居单元"为基础的预条件方法。该方法充分考虑了矩阵元素中的"主要"信息量,可以有效加快迭代收敛速度。在构造预条件因子时,采用从目标的"几何结构剖分"出发,而不是从"矩阵元素"出发确定"基权函数之间的作用量关系",这样保证了构造预条件矩阵的计算复杂度仅为O(N)。作为实例,该文将这种预条件方法与共轭梯度方法结合应用于矩量法基站天线分析所得方程的求解,数值结果表明了该文方法的有效性。

Preconditioning Method Based

A new preconditioning method based on "neighbor element" which has distinct physical background is presented in this paper. The dominant information of impedance matrix is fully considered in the neighbor element preconditioner. The preconditioner is generated from the target's "geometry structure " and not from the "matrix element", which assured the computational complexity for generating the preconditioner is only O(N) . This preconditioning method combined with conjugate-gradient method is used to solve the integral-equations generated from a base station antenna with MoM method in this paper. Numerical results are presented to demonstrate the validity of this method.