非共形区域分解法分析电磁散射问题

非共形区域分解法允许相邻子域在分界面上具有不一致的网格剖分，对所形成的方程组的求解类似于Jacobi迭代。通过对子域分界面上混合边界条件的修正，以及使用修正后的Galerkin测试基函数,可以很大程度上加速迭代收敛。同时，将各向异性完全匹配层（perfectly matched layer, PML)引入非共形区域分解法，也极大地减少了未知量。另外，还对多种加速求解的方法做了深入研究，对非共形分界面上实现数据交换做了详细的阐明。最后通过算例验证了该算法的准确性和高效性。

Analysis of electromagnetic scattering by non-conforming domain decomposition method

The existing of non-matching grids on adjacent domain interface is permitted in non-conforming domain decomposition method (NC-DDM). The solution about this method is like Jacobi iteration. The convergence can be accelerated by modifying the mixed boundary condition on the interface and using modified Galerkin testing functions. The anisotropic perfectly matched layer (PML) is used in NC-DDM, so that the unknown quantity can be reduced largely. Several methods about accelerating convergence are studied and the method about exchanging data on non-conforming interface is also explained in detail. The numerical results demonstrate that this method is accurate and has high efficiency.