Parallel-in-time integration of the Landau–Lifshitz–Gilbert equation with the parallel full approximation scheme in space and time

Autor(en)

Robert Kraft, Sabri Koraltan, Markus Gattringer, Florian Bruckner, Dieter Suess, Claas Abert

Abstrakt

Speeding up computationally expensive problems, such as numerical simulations of large micromagnetic systems, requires efficient use of parallel computing infrastructures. While parallelism across space is commonly exploited in micromagnetics, this strategy performs poorly once a minimum number of degrees of freedom per core is reached. We use magnum.pi, a finite-element micromagnetic simulation software, to investigate the Parallel Full Approximation Scheme in Space and Time (PFASST) as a space- and time-parallel solver for the Landau–Lifshitz–Gilbert equation (LLG). Numerical experiments show that PFASST enables efficient parallel-in-time integration of the LLG, significantly improving the speedup gained from using a given number of cores as well as allowing the code to scale beyond spatial limits.

Organisation(en)

Forschungsplattform MMM Mathematics-Magnetism-Materials, Physik Funktioneller Materialien

Journal

Journal of Magnetism and Magnetic Materials

Band

597

Anzahl der Seiten

8

ISSN

0304-8853

DOI

https://doi.org/10.48550/arXiv.2310.11819

Publikationsdatum

05-2024

Peer-reviewed

Ja

ÖFOS 2012

103017 Magnetismus, 103043 Computational Physics

Schlagwörter

ASJC Scopus Sachgebiete

Electronic, Optical and Magnetic Materials, Condensed Matter Physics

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/94c4d345-26cf-4f48-9658-03006690e3c9