3 citations · 3 across the 1 of their papers we have counts for
6 papers
PyMGRIT: A Python Package for the parallel-in-time method MGRIT
Jens Hahne, Stephanie Friedhoff, Matthias Bolten
In this paper, we introduce the Python framework PyMGRIT, which implements the multigrid-reduction-in-time (MGRIT) algorithm for solving the (non-)linear systems arising from the d…
Parallel-in-Time Simulation of an Electrical Machine using MGRIT
Matthias Bolten, Stephanie Friedhoff, Jens Hahne +1
We apply the multigrid-reduction-in-time (MGRIT) algorithm to an eddy current simulation of a two-dimensional induction machine supplied by a pulse-width-modulation signal. To reso…
Optimizing multigrid reduction-in-time (MGRIT) and Parareal coarse-grid operators for linear advection
Hans De Sterck, Robert D. Falgout, Stephanie Friedhoff +2
Parallel-in-time methods, such as multigrid reduction-in-time (MGRIT) and Parareal, provide an attractive option for increasing concurrency when simulating time-dependent PDEs in m…
On "Optimal" h-Independent Convergence of Parareal and MGRIT using Runge-Kutta Time Integration
Stephanie Friedhoff, Ben S. Southworth
Although convergence of the Parareal and multigrid-reduction-in-time (MGRIT) parallel-in-time algorithms is well studied, results on their optimality is limited. Appealling to rece…
Convergence analysis for parallel-in-time solution of hyperbolic systems
Hans De Sterck, Stephanie Friedhoff, Alexander J. M. Howse +1
Parallel-in-time algorithms have been successfully employed for reducing time-to-solution of a variety of partial differential equations, especially for diffusive (parabolic-type)…
On selecting coarse-grid operators for Parareal and MGRIT applied to linear advection
Oliver A. Krzysik, Hans De Sterck, Scott P. MacLachlan +1
We consider the parallel time integration of the linear advection equation with the Parareal and two-level multigrid-reduction-in-time (MGRIT) algorithms. Our aim is to develop a b…