We study the equivalence of H1 and H(curl, div) norms for vector fields satisfying an electric or magnetic boundary condition in an axially symmetric domain. We present two approaches, one based on elementary analytic tools, the other on the results known for the Laplacian. This result, valid for almost all axisymmetric domains, is used in the numerical resolution of Maxwell's equations.

Translated title of the contributionA result of closedness for Maxwell's equations in an axisymmetric domain
Original languageFrench
Pages (from-to)293-298
Number of pages6
JournalComptes Rendus de l'Academie des Sciences - Series I: Mathematics
Volume331
Issue number4
StatePublished - 15 Aug 2000

    Scopus subject areas

  • Mathematics(all)

ID: 51314880