| Issue |
ESAIM: M2AN
Volume 41, Number 6, November-December 2007
|
|
|---|---|---|
| Page(s) | 1001 - 1020 | |
| DOI | https://doi.org/10.1051/m2an:2007049 | |
| Published online | 15 December 2007 | |
High order edge elements on simplicial meshes
Laboratoire J.-A. Dieudonné,
C.N.R.S. & Université de Nice Sophia-Antipolis, Parc Valrose,
06108 Nice Cedex 02, France. frapetti@unice.fr
Received:
17
October
2006
Revised:
3
July
2007
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.
Mathematics Subject Classification: 78M10 / 65N30 / 68U20
Key words: Maxwell equations / higher order edge elements / simplicial meshes.
© EDP Sciences, SMAI, 2007
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