13 citations · 30 across the 9 of their papers we have counts for
9 papers
Bent optical waveguide finite element analysis with a 3D envelope Maxwell model
Jaime Mora-Paz, Stefan Henneking, Leszek Demkowicz +1
With the goal of accurately extracting the optical field losses in a three-dimensional (3D), circularly coiled waveguide (e.g., bent optical fiber), this effort presents the numeri…
Bessel Functions and Analysis of Circular Waveguides
Jaime Mora-Paz, Leszek Demkowicz, Christina G. Taylor +2
The paper is devoted to the study of circularly coiled optical slab waveguides, which is also applicable to acoustical waveguides. We use a change of variables and the classical Fr…
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…
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…
hp3D User Manual
Stefan Henneking, Leszek Demkowicz
User Manual for the hp3D Finite Element Software, available on GitHub at https://github.com/Oden-EAG/hp3d
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…