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

Type
Label
  • Lorenz gauged vector potential formulations for the time-harmonic eddy-current problem with L(infinity)-regularity of material properties (Articolo in rivista) (literal)
Anno
  • 2008-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1002/mma.900 (literal)
Alternative label
  • Fernandes P.; Valli A. (2008)
    Lorenz gauged vector potential formulations for the time-harmonic eddy-current problem with L(infinity)-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)
Pagina inizio
  • 71 (literal)
Pagina fine
  • 98 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 31 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
  • 1 (literal)
Note
  • Scopu (literal)
  • ISI Web of Science (WOS) (literal)
  • Google Scholar (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Istituto di Matematica Applicata e Tecnologie Informatiche del C.N.R. Dipartimento di Matematica, Universit`a di Trento, (literal)
Titolo
  • Lorenz gauged vector potential formulations for the time-harmonic eddy-current problem with L(infinity)-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. (literal)
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