提出一种求解大型区域上电磁场边值问题的多子空间投影分解法,证明其具有几何的收敛速度,并且从理论上分析影响收敛速度的主要因素及收敛特性.该方法非常适合求解多枝区域上的问题,实际算例和理论分析完全一致.结果表明子区域间的连接边界越短,其收敛速度越快,且收敛速度主要取决于子区域间的关联网格点的个数.
A decomposition projective method(DPM) is presented to solve large-scale electromagnetic field boundary condition problems. Theoretical analysis shows that its convergence ratio is geometrical and mainly affected by the length of inner boundary of subdomains. Numerical results are coincident with theoretical analysis.