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

Konferenz: CEM 2006 - 6th International Conference on Computational Electromagnetics
04.04.2006 - 06.04.2006 in Aachen, Germany

Tagungsband: CEM 2006

Seiten: 2Sprache: EnglischTyp: PDF

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

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.