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math.NA2025
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…
math.NA2024
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…