High order edge elements on simplicial meshes

Rapetti, Francesca 

ESAIM: Mathematical Modelling and Numerical Analysis , Tome 41 (2007) no. 6, pp. 1001-1020.

Résumé

Low order edge elements are widely used for electromagnetic field problems. Higher order edge approximations are receiving increasing interest but their definition become rather complex. In this paper we propose a simple definition for Whitney edge elements of polynomial degree higher than one. We give a geometrical localization of all degrees of freedom over particular edges and provide a basis for these elements on simplicial meshes. As for Whitney edge elements of degree one, the basis is expressed only in terms of the barycentric coordinates of the simplex.

Détail

DOI : 10.1051/m2an:2007049

Classification : 78M10, 65N30, 68U20
Keywords: Maxwell equations, higher order edge elements, simplicial meshes

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