工程电磁场积分方程的多尺度解法

Multiresolution Method for Electromagnetic Integral Equations

采用多尺度的思想对工程电磁场积分方程和边界元方程进行离散，得到一个较为稀疏的矩阵，从而减少存储空间，所得到的结果比常用的方法所得结果更为精确．

A multiresolution scheme for discretization of electromagnetic integral equation and boundary element equation is presented. The method discretizes the body by relatively coarser scaling functions and introduces the wavelet functions to acquire higher precision step by step. This method is the same as direct discretization with higher resolution scaling functions. The derived matrix is sparse because of its sparsity prescribed in advance, and the storage requirement is greatly reduced. Comparing this scheme with the Moment Method and zero order Boundary Element Method, the result shows that the scheme is more reasonable.