On perfectly matched layers for discontinuous Petrov–Galerkin methods

摘要: In this article, several discontinuous Petrov–Galerkin (DPG) methods with perfectly matched layers (PMLs) are derived along their quasi-optimal graph test norms. Ultimately, two different complex coordinate stretching strategies considered in these derivations. Unlike classical formulations used by Bubnov–Galerkin methods, so-called ultraweak variational formulations, fact deliver the PML region. One of strategies, which is argued to be more physically natural, employed for numerically solving two- and three-dimensional time-harmonic acoustic, elastic, electromagnetic wave propagation problems, defined unbounded domains. Through numerical experiments, efficacy new DPG PMLs verified.