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simplicial meshes.

ESAIM: Mathematical Modelling and Numerical Analysis (1)

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High order edge elements on simplicial meshes
Francesca Rapetti
Journal:

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 41 / Issue 6 / November 2007

Published online by Cambridge University Press:

15 December 2007, pp. 1001-1020

Print publication:

November 2007
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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 expressedonly in terms of the barycentric coordinates of the simplex.