High order Whitney finite element spaces generally lack natural choices of bases but they do have spanning families. In these pages, we recall such a family on simplicial meshes and we prove theoretically its effectiveness. We also comment on some aspects of a new set of degrees of freedom, the so-called weights on the small simplices, to represent discrete functions in these spaces.

Some remarks on spanning families and weights for high order Whitney spaces on simplices / Alonso Rodríguez, Ana; Rapetti, Francesca. - In: COMPUTERS & MATHEMATICS WITH APPLICATIONS. - ISSN 0898-1221. - STAMPA. - 78:9(2019), pp. 2961-2972. [10.1016/j.camwa.2019.03.006]

Some remarks on spanning families and weights for high order Whitney spaces on simplices

Alonso Rodríguez, Ana;
2019-01-01

Abstract

High order Whitney finite element spaces generally lack natural choices of bases but they do have spanning families. In these pages, we recall such a family on simplicial meshes and we prove theoretically its effectiveness. We also comment on some aspects of a new set of degrees of freedom, the so-called weights on the small simplices, to represent discrete functions in these spaces.
2019
9
Alonso Rodríguez, Ana; Rapetti, Francesca
Some remarks on spanning families and weights for high order Whitney spaces on simplices / Alonso Rodríguez, Ana; Rapetti, Francesca. - In: COMPUTERS & MATHEMATICS WITH APPLICATIONS. - ISSN 0898-1221. - STAMPA. - 78:9(2019), pp. 2961-2972. [10.1016/j.camwa.2019.03.006]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/231678
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