一类求解电磁场腔体模型本征值的瀑布型多重网格法

An Cascadic Multigrid Method for Eigenvalue Solvers in Electromagnetic Cavities

对于电磁场腔体模型Maxwell方程组的本征值问题利用有限元离散转化成线性方程组,提出以Lobpcg算法为光滑子的瀑布型多重网格求解线性方程组的广义特征值,理论上分析了算法的实用性,同时,数值试验验证了结果的可行性.

Use finite element discretization for the Maxwell equations eigenvalue solvers in electromagnetic cavities,then take Lobpcg as a smoother in cascadic multigrid method for solving generalized eigenvalue problem of linear system.Theoretical analysis demonstrates the convergence of algorithm.Finally,numerical tests that validate the efficiency of algorithm are presented.