36 citations · 117 across the 8 of their papers we have counts for
9 papers
The mass-lumped midpoint scheme for computational micromagnetics: Newton linearization and application to magnetic skyrmion dynamics
Giovanni Di Fratta, Carl-Martin Pfeiler, Dirk Praetorius +1
We discuss a mass-lumped midpoint scheme for the numerical approximation of the Landau-Lifshitz-Gilbert equation, which models the dynamics of the magnetization in ferromagnetic ma…
Unconditional well-posedness and IMEX improvement of a family of predictor-corrector methods in micromagnetics
Norbert J. Mauser, Carl-Martin Pfeiler, Dirk Praetorius +1
Recently, Kim & Wilkening (Convergence of a mass-lumped finite element method for the Landau-Lifshitz equation, Quart. Appl. Math., 76, 383-405, 2018) proposed two novel predictor-…
Dörfler marking with minimal cardinality is a linear complexity problem
Carl-Martin Pfeiler, Dirk Praetorius
Most adaptive finite element strategies employ the Dörfler marking strategy to single out certain elements of a triangulation for…
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…
Higher order unfitted FEM for Stokes interface problems
Philip Lederer, Carl-Martin Pfeiler, Christoph Wintersteiger +1
We consider the discretization of a stationary Stokes interface problem in a velocity-pressure formulation. The interface is described implicitly as the zero level of a scalar func…
L2-orthogonal projections onto finite elements on locally refined meshes are H1-stable
Michael Karkulik, Carl-Martin Pfeiler, Dirk Praetorius
We merge and extend recent results which prove the H1-stability of the L2-orthogonal projection onto standard finite element spaces, provided that the underlying simplicial triangu…