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.File | Dimensione | Formato | |
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