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MA: Fachverband Magnetismus

MA 7: Poster Magnetism I

MA 7.41: Poster

Montag, 9. März 2026, 09:30–12:30, P2

jaxFMM: Fast and Accurate Stray Field Evaluation for FEM Micromagnetics — •Robert Kraft^1,2, Florian Bruckner³, Dieter Suess^1,3, and Claas Abert^1,3 — ¹Research Platform MMM Mathematics-Magnetism-Materials, University of Vienna, Vienna, Austria — ²Vienna Doctoral School in Physics, University of Vienna, Vienna, Austria — ³Physics of Functional Materials, University of Vienna, Vienna, Austria

Micromagnetic simulations provide invaluable insight for the design of novel magnetic devices and materials. The size and complexity of simulated geometries is ever-increasing, quickly reaching limits in terms of computational cost. Here, the long-ranged stray or demagnetizing field proves to be particularly challenging since its complexity scales quadratically with the system size. Therefore, highly efficient and parallel routines for the evaluation of the stray field are a crucial component in any micromagnetic simulation code. We introduce jaxFMM, an open-source Fast Multipole Method (FMM) implementation written in JAX with a focus on stray field evaluation for Finite-Element simulation codes. Linear complexity scaling, efficient parallel execution on GPUs and precise control over the approximation error enable dynamic simulations of very large and complicated geometries. Additionally, the code is easy to use, extremely concise and ready for machine-learning or inverse-design tasks with automatic differentiation.

Keywords: stray field; demagnetizing field; JAX; GPU; Fast Multipole Method