5 papers
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…
Time-integration of Gaussian variational approximation for the magnetic Schrödinger equation
Malik Scheifinger, Kurt Busch, Marlis Hochbruck +1
In the present paper we consider the semiclassical magnetic Schrödinger equation, which describes the dynamics of charged particles under the influence of a electro-magnetic field.…
Local time-integration for Friedrichs' systems
Marlis Hochbruck, Malik Scheifinger
In this paper, we address the full discretization of Friedrichs' systems with a two-field structure, such as Maxwell's equations or the acoustic wave equation in div-grad form, cf.…
Analytical and Numerical Analysis of Linear and Nonlinear Properties of an rf-SQUID Based Metasurface
Marvin M. Müller, Bernhard Maier, Carsten Rockstuhl +1
We derive a model to describe the interaction of an rf-SQUID (radio frequency superconducting quantum interference device) based metasurface with free space electromagnetic waves.…