[PDF][PDF] Discontinuous Galerkin time domain methods in computational electrodynamics: State of the art

LD Angulo, J Alvarez, MF Pantoja… - … . Res. Methods Appl …, 2015 - researchgate.net
This text reviews the state of the art of the Discontinuous Galerkin (DG) method applied to
the solution of the Maxwell's equations in Time Domain (TD). The work is divided into two …

Time domain finite element method for Maxwell's equations

A Anees, L Angermann - IEEE Access, 2019 - ieeexplore.ieee.org
In this paper, we discuss a time domain finite element method for the approximate solution of
Maxwell's equations. A weak formulation is derived for the electric and magnetic fields with …

Wave equation-based implicit subdomain DGTD method for modeling of electrically small problems

Q Sun, Q Zhan, Q Ren, QH Liu - IEEE Transactions on …, 2017 - ieeexplore.ieee.org
A second-order wave equation-based implicit discontinuous Galerkin time-domain (DGTD)
method is proposed to efficiently model electrically small problems. The proposed method …

Conservative semi-Lagrangian kinetic scheme coupled with implicit finite element field solver for multidimensional Vlasov Maxwell system

H Liu, X Cai, G Lapenta, Y Cao - Communications in Nonlinear Science …, 2021 - Elsevier
In this paper, a conservative semi-Lagrangian (CSL) kinetic scheme coupled with an implicit
finite element method (IFEM) is developed for multidimensional electromagnetic plasma …

A novel coupling algorithm for perfectly matched layer with wave equation-based discontinuous Galerkin time-domain method

Q Sun, R Zhang, Q Zhan, QH Liu - IEEE Transactions on …, 2017 - ieeexplore.ieee.org
The second-order wave equation-based discontinuous Galerkin time-domain (DGTD)
methods typically employ the first-order absorbing boundary condition for modeling open …

Causal-Path Local Time-Stepping in the discontinuous Galerkin method for Maxwellʼs equations

LD Angulo, J Alvarez, FL Teixeira, MF Pantoja… - Journal of …, 2014 - Elsevier
We introduce a novel local time-stepping technique for marching-in-time algorithms. The
technique is denoted as Causal-Path Local Time-Stepping (CPLTS) and it is applied for two …

Novel parallelization of discontinuous galerkin method for transient electromagnetics simulation based on sunway supercomputers

M Li, Q Wu, Z Lin, Y Zhang… - The Applied …, 2022 - journals.riverpublishers.com
A novel parallelization of discontinuous Galerkin time-domain (DGTD) method hybrid with
the local time step (LTS) method on Sunway supercomputers for electromagnetic simulation …

Full-wave interior penalty discontinuous galerkin method for waveguide analysis

L Andrade-Fonseca… - Journal of Lightwave …, 2018 - opg.optica.org
A novel full-wave method to perform mode analysis on waveguides is introduced in this
paper. The core of the method is based on an Interior Penalty Discontinuous Galerkin …

An unconditionally stable explicit finite element algorithm for coupled hydromechanical problems of soil mechanics in pseudo‐static conditions

L Monforte, JM Carbonell, M Arroyo… - International Journal for …, 2022 - Wiley Online Library
In this article, we present a novel explicit time‐integration algorithm for the coupled
hydromechanical soil mechanics problems in a pseudo‐static regime. After introducing the …

[HTML][HTML] Exponential Krylov time integration for modeling multi-frequency optical response with monochromatic sources

MA Botchev, AM Hanse, R Uppu - Journal of computational and applied …, 2018 - Elsevier
Light incident on a layer of scattering material such as a piece of sugar or white paper forms
a characteristic speckle pattern in transmission and reflection. The information hidden in the …