Model order reduction methods are a powerful tool to drastically reduce the computational effort of problems which need to be evaluated repeatedly, i.e., when computing the same system for various parameter values. When applying a reduced basis approximation algorithm to the Maxwell eigenvalue problem, we encounter spurious solutions in the reduced system which hence need to be removed during the basis construction. In this paper, we discuss two tree-cotree gauge-based methods for the removal of the spurious eigenmodes.

翻译：模型降阶方法是一种能够显著降低重复求解问题计算量的有力工具，例如在对同一系统进行多组参数值计算时。将降基近似算法应用于Maxwell特征值问题时，我们会在降阶系统中遇到伪解，因此需要在基函数构建过程中予以剔除。本文讨论了两种基于树-余树规范化的伪特征模态消除方法。