A Taube, M Dumbser, CD Munz… - International Journal of …, 2009 - Wiley Online Library
We present an explicit numerical method to solve the time‐dependent Maxwell equations with arbitrary high order of accuracy in space and time on three‐dimensional unstructured …
MC Pinto, S Jund, S Salmon… - Comptes Rendus …, 2014 - Elsevier
In this article, we aim at proposing a general mathematical formulation for charge- conserving finite-element Maxwell solvers coupled with particle schemes. In particular, we …
MA Botchev - Journal of computational and applied mathematics, 2016 - Elsevier
The exponential time integration, ie, time integration which involves the matrix exponential, is an attractive tool for time domain modeling involving Maxwell's equations. However, its …
B He, FL Teixeira - IEEE microwave and wireless components …, 2006 - ieeexplore.ieee.org
Finite-element time-domain (FETD) simulations of Maxwell equations in irregular simplicial grids require the solution of a sparse linear system involving the Hodge (mass) matrix at …
DC Eder, A Throop, J Kimbrough, ML Stowell… - 2009 - osti.gov
Our research focused on obtaining a fundamental understanding of the source and properties of EMP at the Titan PW (petawatt)-class laser facility. The project was motivated …
A Fisher, D White, G Rodrigue - Journal of Computational Physics, 2007 - Elsevier
We have developed a mixed Vector Finite Element Method (VFEM) for Maxwell's equations with a nonlinear polarization term. The method allows for discretization of complicated …
JG Verwer, MA Botchev - Linear Algebra and its Applications, 2009 - Elsevier
Numerical integration of Maxwell's equations is often based on explicit methods accepting a stability step size restriction. In literature evidence is given that there is also a need for …
This article deals with time integration for the second-order Maxwell equations with possibly non-zero conductivity in the context of the discontinuous Galerkin finite element method (DG …
We present a novel strategy for minimizing the numerical dispersion error in edge discretizations of the time-domain electric vector wave equation on square meshes based …