Formulations via vector potentials
Motivated by the fact that the magnetic induction B=μH is divergence-free in Ω, a classical approach to the Maxwell equations and to eddy current problems is based on the introduction of a vector magnetic potential A such that curl A=μH. Often, this is also accompanied by the use of a scalar electric potential VC in the conductor Ω C , satisfying iwA C +grad V C =−E C (see Silvester and Ferrari ; for the engineering literature, see, e.g., Chari et al. , Biddlecombe et al. , Morisue , Bíró and Preis ).
KeywordsNumerical Approximation Interface Condition Grad Versus Coulomb Gauge Magnetic Boundary
Unable to display preview. Download preview PDF.