Lorenz gauged vector potential formulations for the time-harmonic eddy-current problem with $L^\infty$-regularity of material properties (Articolo in rivista)

Type
Label
  • Lorenz gauged vector potential formulations for the time-harmonic eddy-current problem with $L^\infty$-regularity of material properties (Articolo in rivista) (literal)
Anno
  • 2007-01-01T00:00:00+01:00 (literal)
Alternative label
  • Fernandes P., Valli A. (2007)
    Lorenz gauged vector potential formulations for the time-harmonic eddy-current problem with $L^\infty$-regularity of material properties
    in Mathematical methods in the applied sciences
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Fernandes P., Valli A. (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#note
  • Published Online: May 30 2007 4:05AM DOI: 10.1002/mma.900 (literal)
Note
  • ISI Web of Science (WOS) (literal)
Titolo
  • Lorenz gauged vector potential formulations for the time-harmonic eddy-current problem with $L^\infty$-regularity of material properties (literal)
Abstract
  • In this paper, we consider some Lorenz-gauged vector potential formulations of the eddy-current problem for the time-harmonic Maxwell equations with material properties having only L-regularity. We prove that there exists a unique solution of these problems, and we show the convergence of a suitable finite element approximation scheme. Moreover, we show that some previously proposed Lorenz-gauged formulations are indeed formulations in terms of the modified magnetic vector potential, for which the electric scalar potential is vanishing. Copyright © 2007 John Wiley & Sons, Ltd. (literal)
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