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High order edge elements on simplicial meshes

Published online by Cambridge University Press:  15 December 2007

Francesca Rapetti
Francesca Rapetti*
Affiliation:
Laboratoire J.-A. Dieudonné, C.N.R.S. & Université de Nice Sophia-Antipolis, Parc Valrose, 06108 Nice Cedex 02, France. frapetti@unice.fr
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Abstract

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.

Keywords

Maxwell equationshigher order edge elementssimplicial meshes.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 41 , Issue 6 , November 2007 , pp. 1001 - 1020
Copyright
© EDP Sciences, SMAI, 2007

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