1 citations · 2 across the 2 of their papers we have counts for
6 papers · 1 filter
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…
Deep neural networks for smooth approximation of physics with higher order and continuity B-spline base functions
Kamil Doległo, Anna Paszyńska, Maciej Paszyński +1
This paper deals with the following important research question. Traditionally, the neural network employs non-linear activation functions concatenated with linear operators to app…
An adaptive multigrid solver for DPG methods with applications in linear acoustics and electromagnetics
Socratis Petrides, Leszek Demkowicz
We propose an adaptive multigrid preconditioning technology for solving linear systems arising from Discontinuous Petrov-Galerkin (DPG) discretizations. Unlike standard multigrid t…
A numerical study of the pollution error and DPG adaptivity for long waveguide simulations
Stefan Henneking, Leszek Demkowicz
High-frequency wave propagation has many important applications in acoustics, elastodynamics, and electromagnetics. Unfortunately, the finite element discretization for these probl…
Model and computational advancements to full vectorial Maxwell model for studying fiber amplifiers
Stefan Henneking, Jacob Grosek, Leszek Demkowicz
We present both modeling and computational advancements to a unique three-dimensional discontinuous Petrov-Galerkin finite element model for the simulation of laser amplification i…