Inf-sup condition for the 3-D P2-iso-P1 Taylor-Hood finite element; application to Maxwell equations

Partrick Ciarlet; Vivette Girault

doi:10.1016/S1631-073X(02)02564-5

Inf-sup condition for the 3-D P₂-iso-P₁ Taylor-Hood finite element; application to Maxwell equations

Titre traduit de la contribution: Condition inf-sup pour l'élément fini de Taylor-Hood P₂-iso-P-₁, 3-D; application aux équations de Maxwell

Partrick Ciarlet
, Vivette Girault

UPMC Université de Paris VI

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

We consider the discretization of Maxwell equations, proposed in [3,2,1]. The electromagnetic field and the Lagrange multiplier related to its divergence are approximated numerically by the P₂-iso-P₁ Taylor-Hood Finite Element. Singular test-functions are added when the domain is non-convex, with a non-smooth boundary. The aim of this Note is to establish a discrete inf-sup condition. The result can be applied to the discretization of the velocity-pressure Stokes system [7].

Titre traduit de la contribution	Condition inf-sup pour l'élément fini de Taylor-Hood P₂-iso-P-₁, 3-D; application aux équations de Maxwell
langue originale	Anglais
Pages (de - à)	827-832
Nombre de pages	6
journal	Comptes Rendus Mathematique
Volume	335
Numéro de publication	10
Les DOIs	https://doi.org/10.1016/S1631-073X(02)02564-5
état	Publié - 15 nov. 2002

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10.1016/S1631-073X(02)02564-5

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Contient cette citation

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