A Conservative Finite-Difference Scheme for Magnetostatics Problems with a Scalar Magnetic Potential
https://doi.org/10.35596/1729-7648-2025-23-6-48-55
Abstract
To enhance the accuracy of solving magnetostatic equations at permanent-magnet boundaries, we propose a conservative finite-difference scheme for the scalar magnetic potential based on the integro-interpolation method. The features of discretization of magnetization divergence in regions of a function having discontinuities of the first kind are considered. To validate the scheme, we developed an algorithm and implemented a program for computing permanent magnets using Python 3.11 and the Taichi library. The proposed scheme preserves conservation laws and ensures high computational accuracy, making the results applicable to magnetic-field calculations in technological discharge devices for the formation of functional layers and coatings in microelectronics and optics, as well as to engineering problems related to magnetic dynamics.
About the Author
V. U. Shakialeuski
Belarusian State University of Informatics and Radioelectronics
Belarus
Belarus
Shakialeuski Vadzim Uladzimiravich, Postgraduate of the Department of Micro- and Nanoelectronics, Junior Researcher at the Center for Interdisciplinary Research
220013, Minsk, P. Brovki St., 6
Tel.: +375 29 987-16-66
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Review
For citations:
Shakialeuski V.U. A Conservative Finite-Difference Scheme for Magnetostatics Problems with a Scalar Magnetic Potential. Doklady BGUIR. 2025;23(6):48-55. (In Russ.) https://doi.org/10.35596/1729-7648-2025-23-6-48-55
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