학술논문

Implicit Gauging of Electromagneto-Quasistatic Field Formulations
Document Type
Periodical
Source
IEEE Transactions on Magnetics IEEE Trans. Magn. Magnetics, IEEE Transactions on. 58(9):1-4 Sep, 2022
Subject
Fields, Waves and Electromagnetics
Mathematical models
Electric potential
Electric fields
Numerical models
Magnetic flux density
Magnetic resonance imaging
Magnetic domains
Computational electromagnetics
Darwin-type fields
electromagneto-quasistatic (EMQS) fields
frequency-domain analysis
Language
ISSN
0018-9464
1941-0069
Abstract
Electromagneto-quasistatic (EMQS) field models exhibit capacitive, resistive, and inductive effects, in the absence of wave propagation, while the associated initial boundary value problems are ill-posed. A framework that is based on penalizing a Coulomb-type differential constraint that recovers well-posedness is proposed here. The advocated strategy yields two classes of EMQS formulations that implicitly gauge the magnetic vector potential. Comparative numerical tests demonstrate the performance of the resulting formulations relative to the recently introduced two-step Maxwell scheme.