A Hybrid Vector Generalized Finite Element Method for Transient Electromagnetic Simulations
Abstract In this article, a hybrid vector generalized finite element method is developed for time domain electromagnetic analysis. Average and jump operators of the discontinuous Galerkin method are used to establish a domain decomposition framework for the vector generalized finite element method such that they enable application of vector generalized finite element methods to inhomogeneous problems without using additional basis functions at material interfaces. Moreover, they enable hybridization of the classical finite element method and vector generalized finite element method such that advantages of each method can be exploited for more accurate computation of electromagnetic fields. In this article, the interior penalty discontinuous Galerkin method is used to enable communication among partitioned domains. Convergence characteristics of these hybrid methods are studied, and their applications to wave scattering problems are presented.