Abstract
To study effective electromagnetic properties of the heterogeneous media, it is important to know both electric and magnetic field distributions. In this paper, we consider the harmonic electromagnetic field induced by an external current source in the heterogeneous media. We propose an approach that couples the electric field and the magnetic field via special boundary conditions for the magnetic field strength, which act as a source of the magnetic field. Discretization of the mathematical model is performed by the vector finite element method in a space with partial continuity H (curl). Electric and magnetic fields are calculated on the same unstructured tetrahedral mesh. We analyze the behavior of the magnetic field obtained by means of our approach at the interfaces separating the media and contrasting conductive or magnetic inclusions.
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The research was supported by Project No. FWZZ-2022-0025, Project No. FWZZ-2022-0030.
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Shtabel, N., Dobroliubova, D. (2022). Numerical Modeling of Electric and Magnetic Fields Induced by External Source in Frequency Domain. In: Jordan, V., Tarasov, I., Faerman, V. (eds) High-Performance Computing Systems and Technologies in Scientific Research, Automation of Control and Production. HPCST 2021. Communications in Computer and Information Science, vol 1526. Springer, Cham. https://doi.org/10.1007/978-3-030-94141-3_12
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