On perfectly matched layers for discontinuous Petrov-Galerkin methods
作者： Ali Vaziri Astaneh , Ali Vaziri Astaneh , Leszek Demkowicz , Brendan Keith
DOI: 10.1007/S00466-018-1640-3
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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.
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