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Inclusion of an Inverse Magnetic Hysteresis Model into the Space-Time Finite Element Method for Magnetoquasistatics

Published: April 16, 2025 | arXiv ID: 2504.12003v1

By: Mario Gobrial , Lukas Domenig , Michael Reichelt and more

Potential Business Impact:

Solves tricky electricity problems faster.

Business Areas:
RFID Hardware

In this note we discuss the numerical solution of the eddy current approximation of the Maxwell equations using the simple Pragmatic Algebraic Model to include hysteresis effects. In addition to the more standard time-stepping approach we propose a space-time finite element method which allows both for parallelization and adaptivity simultaneously in space and time. Numerical experiments confirm both approaches yield the same numerical results.

Page Count
11 pages

Category
Mathematics:
Numerical Analysis (Math)