三维电大问题的辅助激励源区域分解算法

Auxiliary excitation algorithm of the domain decomposition method for 3-D large-scale electromagnetic problems

针对三维电大问题,提出了一种基于辅助激励源的区域分解算法.将原求解区域划分成互不重叠的子区域以降低计算复杂度.通过引入Robin类型的辅助激励源,使相邻子区域之间的信息交换仅限于其分界面上,消除了"内谐振"现象.根据矢量有限元方法独立地处理每个子区域,建立了原问题的粗问题.对于具有几何重复性特征的有限周期结构,引入了基本子区域,有效地提高了计算效率.

A novel domain decomposition method （DDM） without resonance based on an auxiliary excitation algorithm is developed for the simulation of three-dimensional （3-D） large-scale electromagnetic problems. To decrease the computational scale and complexity, the original domain is partitioned into several nonoverlapping subdomains. A set of Robin-type auxiliary excitations on the inter-domain interfaces has been introduced to exchange information between subdomains. Because each subdomain can be tackled independently with the vector finite element method, the originally large problem is reduced to a much smaller interface problem. The proposed method becomes very efficient for finite periodic problems by introducing basic subdomains to describe the geometric repetitions.