21 citations · 21 across the 16 of their papers we have counts for
5 papers · 1 filter
Semi-explicit discretization schemes for weakly-coupled elliptic-parabolic problems
Robert Altmann, Roland Maier, Benjamin Unger
We prove first-order convergence of the semi-explicit Euler scheme combined with a finite element discretization in space for elliptic-parabolic problems which are weakly coupled.…
Exponential integrators for semi-linear parabolic problems with linear constraints
Robert Altmann, Christoph Zimmer
This paper is devoted to the construction of exponential integrators of first and second order for the time discretization of constrained parabolic systems. For this extend, we com…
PDE eigenvalue iterations with applications in two-dimensional photonic crystals
Robert Altmann, Marine Froidevaux
We consider PDE eigenvalue problems as they occur in two-dimensional photonic crystal modeling. If the permittivity of the material is frequency-dependent, then the eigenvalue prob…
Localized computation of eigenstates of random Schrödinger operators
Robert Altmann, Daniel Peterseim
This paper concerns the numerical approximation of low-energy eigenstates of the linear random Schrödinger operator. Under oscillatory high-amplitude potentials with a sufficient d…
Continuous, Semi-discrete, and Fully Discretized Navier-Stokes Equations
Robert Altmann, Jan Heiland
The Navier--Stokes equations are commonly used to model and to simulate flow phenomena. We introduce the basic equations and discuss the standard methods for the spatial and tempor…