output
20062026
most citedHigh-order polygonal discontinuous Petrov-Galerkin (PolyDPG) methods using ultraweak formulations

40 citations

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math.NA2018★ 18 cited

On perfectly matched layers for discontinuous Petrov-Galerkin methods

Ali Vaziri Astaneh, Brendan Keith, Leszek Demkowicz

In this article, several discontinuous Petrov-Galerkin (DPG) methods with perfectly matched layers (PMLs) are derived along with their quasi-optimal graph test norms. Ultimately, t…

math.NA2017★ 40 cited

High-order polygonal discontinuous Petrov-Galerkin (PolyDPG) methods using ultraweak formulations

Ali Vaziri Astaneh, Federico Fuentes, Jaime Mora +1

This work represents the first endeavor in using ultraweak formulations to implement high-order polygonal finite element methods via the discontinuous Petrov-Galerkin (DPG) methodo…