2 citations · 3 across the 4 of their papers we have counts for
4 papers
A Space-Time Discontinuous Petrov-Galerkin Finite Element Formulation for a Modified Schrödinger Equation for Laser Pulse Propagation in Waveguides
Ankit Chakraborty, Judit Munoz-Matute, Leszek Demkowicz +1
In this article, we propose a modified nonlinear Schrödinger equation for modeling pulse propagation in optical waveguides. The proposed model bifurcates into a system of elliptic…
A Vectorial Envelope Maxwell Formulation for Electromagnetic Waveguides with Application to Nonlinear Fiber Optics
Stefan Henneking, Jacob Grosek, Leszek Demkowicz
This article presents an ultraweak discontinuous Petrov-Galerkin (DPG) formulation of the time-harmonic Maxwell equations for the vectorial envelope of the electromagnetic field in…
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…
Stabilized finite element methods for a fully-implicit logarithmic reformulation of the Oldroyd-B constitutive law
Stefan Wittschieber, Leszek Demkowicz, Marek Behr
Logarithmic conformation reformulations for viscoelastic constitutive laws have alleviated the high Weissenberg number problem, and the exploration of highly elastic flows became p…