153 citations · 547 across the 29 of their papers we have counts for
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An Anisotropic -Adaptation Framework for Ultraweak Discontinuous Petrov-Galerkin Formulations
Ankit Chakraborty, Stefan Henneking, Leszek Demkowicz
In this article, we present a three-dimensional anisotropic -mesh refinement strategy for ultraweak discontinuous Petrov--Galerkin (DPG) formulations with optimal test function…
Multistage DPG time-marching scheme for nonlinear problems
Judit Muñoz-Matute, Leszek Demkowicz
In this article, we employ the construction of the time-marching Discontinuous Petrov-Galerkin (DPG) scheme we developed for linear problems to derive high-order multistage DPG met…
Stability Analysis for Electromagnetic Waveguides. Part 1: Acoustic and Homogeneous Electromagnetic Waveguides
Jens Markus Melenk, Leszek Demkowicz, Stefan Henneking
In a time-harmonic setting, we show for heterogeneous acoustic and homogeneous electromagnetic wavesguides stability estimates with the stability constant depending linearly on the…
Scalable DPG Multigrid Solver for Helmholtz Problems: A Study on Convergence
Jacob Badger, Stefan Henneking, Socratis Petrides +1
This paper presents a scalable multigrid preconditioner targeting large-scale systems arising from discontinuous Petrov-Galerkin (DPG) discretizations of high-frequency wave operat…