Geometrical localization of the degrees of freedom for Whitney elements of higher order

Conference: CEM 2006 - 6th International Conference on Computational Electromagnetics
04/04/2006 - 04/06/2006 at Aachen, Germany

Proceedings: CEM 2006

Pages: 2Language: englishTyp: PDF

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Authors:
Rapetti, Francesca (Lab. J.-A. Dieudonné, Université de Nice et Sophia-Antipolis, France)

Abstract:
We wish to give a geometrical localization of the degrees of freedom associated to Whitney forms of polynomial degree higher than one. We provide a conveniently implementable basis for these elements on simplicial meshes. As for Whitney forms of degree one, the basis is expressed only in terms of the barycentric coordinates of the simplex.