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math.NA2022
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…
math.NA2019
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…