From the 1 of 8 linked papers with an AI index.
9 papers
Finite element exponential integration for rough solutions of nonlinear wave equations. Part I: Dirichlet boundary conditions on polygonal and polyhedral domains
Jiachuan Cao, Benjamin Dörich, Marlis Hochbruck +1
We study a fully discrete scheme for nonlinear wave equations on general bounded polygonal/polyhedral domains with initial data , $0<γ\le…
Efficient higher-order local time integration for Friedrichs' systems
Marlis Hochbruck, Jonas Köhler, Malik Scheifinger
The paper proposes a higher‑order local time integration scheme for linear Friedrichs' systems that combines a preconditioned Krylov subspace solver with a specially designed preco…
Meshfree versus grid-based Schrödinger solvers for modeling the interactions between free-electron wave packets and light
Mitja Funk, Sebastian Merk, Caroline Lasser +2
The interaction of free-electron wave packets with electromagnetic fields provides a powerful route toward coherent electron control, enabling the generation of energy combs, momen…
A non-iterative domain decomposition time integrator combined with discontinuous Galerkin space discretizations for acoustic wave equations
Tim Buchholz, Marlis Hochbruck
We propose a novel non-iterative domain decomposition time integrator for acoustic wave equations using a discontinuous Galerkin discretization in space. It is based on a local Cra…
A non-iterative domain decomposition time integrator for linear wave equations
Tim Buchholz, Marlis Hochbruck
We propose and analyze a non-iterative domain decomposition integrator for the linear acoustic wave equation. The core idea is to combine an implicit Crank-Nicolson step on spatial…
Error analysis of DGTD for linear Maxwell equations with inhomogeneous interface conditions
Benjamin Dörich, Julian Dörner, Marlis Hochbruck
In the present paper we consider linear and isotropic Maxwell equations with inhomogeneous interface conditions. We discretize the problem with the discontinuous Galerkin method in…