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JOURNALS // Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory // Archive

Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2021 Volume 191, Pages 3–9 (Mi into760)

Bilateral method of calculating magnetostatic fields

T. Arutyunyan

Moscow Technical University of Communications and Informatics

Abstract: Bilateral methods of mathematical modeling of magnetic fields in electrical systems containing ferromagnets and permanent magnets are considered. The methods are based on the Lagrange multiplier method applied to the equations of the electromagnetic field in terms of the scalar potential.

Keywords: magnetic field, bilateral method, coefficient error, ferromagnetic material, permanent magnet, magnetic potential, Lagrange multiplier method.

UDC: 519.63

MSC: 78Mxx

DOI: 10.36535/0233-6723-2021-191-3-9


 English version:
Journal of Mathematical Sciences (New York), 2025, 288:6, 669–675


© Steklov Math. Inst. of RAS, 2026