35 citations · 137 across the 6 of their papers we have counts for
6 papers
Computational micromagnetics with Commics
Carl-Martin Pfeiler, Michele Ruggeri, Bernhard Stiftner +6
We present our open-source Python module Commics for the study of the magnetization dynamics in ferromagnetic materials via micromagnetic simulations. It implements state-of-the-ar…
Iterative solution and preconditioning for the tangent plane scheme in computational micromagnetics
Johannes Kraus, Carl-Martin Pfeiler, Dirk Praetorius +2
The tangent plane scheme is a time-marching scheme for the numerical solution of the nonlinear parabolic Landau-Lifshitz-Gilbert equation (LLG), which describes the time evolution…
Convergent tangent plane integrators for the simulation of chiral magnetic skyrmion dynamics
Gino Hrkac, Carl-Martin Pfeiler, Dirk Praetorius +3
We consider the numerical approximation of the Landau-Lifshitz-Gilbert equation, which describes the dynamics of the magnetization in ferromagnetic materials. In addition to the cl…
Linear second-order IMEX-type integrator for the (eddy current) Landau-Lifshitz-Gilbert equation
Giovanni Di Fratta, Carl-Martin Pfeiler, Dirk Praetorius +2
Combining ideas from [Alouges et al. (Numer. Math., 128, 2014)] and [Praetorius et al. (Comput. Math. Appl., 2017)], we propose a numerical algorithm for the integration of the non…
Rate optimal adaptive FEM with inexact solver for nonlinear operators
Gregor Gantner, Alexander Haberl, Dirk Praetorius +1
We prove convergence with optimal algebraic rates for an adaptive finite element method for nonlinear equations with strongly monotone operator. Unlike prior works, our analysis al…
Convergence of an implicit-explicit midpoint scheme for computational micromagnetics
Dirk Praetorius, Michele Ruggeri, Bernhard Stiftner
Based on lowest-order finite elements in space, we consider the numerical integration of the Landau-Lifschitz-Gilbert equation (LLG). The dynamics of LLG is driven by the so-called…