We offer to your attention a preprint “On finite-element modeling of large-scale magnetisation problems with combined magnetic vector and scalar potentials” E11-2023-37 issued by the JINR Publishing Department. The author is Alexander Chervyakov.

A numerical performance of finite-element modeling based on the combination of magnetic vector and total scalar potentials is assessed against the vector potential formulation for two magnetisation problems, the Helmholtz coil and the dipole magnet. The potentials are applied to conducting and nonconducting parts of the problem domain and coupled together across their common interfacing boundary. Thin cuts are constructed in the current-free regions to ensure the consistency of the formulation. Simulation results show a substantial reduction in the computational cost provided by the mixed formulation compared to its vector counterpart for a similar accuracy of both methods.

The investigation has been performed at the Meshcheryakov Laboratory of Information Technologies at JINR.

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