A result of closedness for Maxwell's equations in an axisymmetric domain

Patrick Ciarlet; Nikolaï Filonov; Simon Labrunie

doi:10.1016/s0764-4442(00)01617-7

A result of closedness for Maxwell's equations in an axisymmetric domain

Patrick Ciarlet
, Nikolaï Filonov
, Simon Labrunie

Research output: Contribution to journal › Article › peer-review

Abstract

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 contribution	Un résultat de fermeture pour les équations de Maxwell en géométrie axisymétrique
Original language	English
Pages (from-to)	293-298
Number of pages	6
Journal	Comptes Rendus de l'Academie des Sciences - Series I: Mathematics
Volume	331
Issue number	4
DOIs	https://doi.org/10.1016/s0764-4442(00)01617-7
Publication status	Published - 15 Aug 2000

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abstract = "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.",

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AU - Labrunie, Simon

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N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/0034662565

U2 - 10.1016/s0764-4442(00)01617-7

DO - 10.1016/s0764-4442(00)01617-7

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IS - 4

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A result of closedness for Maxwell's equations in an axisymmetric domain

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