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Formulations via vector potentials

  • Ana Alonso Rodríguez
  • Alberto Valli
Part of the MS&A book series (MS&A, volume 4)

Abstract

Motivated by the fact that the magnetic induction BH 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 AH. 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 [227]; for the engineering literature, see, e.g., Chari et al. [79], Biddlecombe et al. [47], Morisue [180], Bíró and Preis [49]).

Keywords

Numerical Approximation Interface Condition Grad Versus Coulomb Gauge Magnetic Boundary 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Italia, Milan 2010

Authors and Affiliations

  • Ana Alonso Rodríguez
    • 1
  • Alberto Valli
    • 1
  1. 1.Department of MathematicsUniversity of TrentoTrentoItaly

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