Some remarks on spanning families and weights for high order Whitney spaces on simplices
| Autor: | Francesca Rapetti, Ana Alonso Rodríguez |
|---|---|
| Přispěvatelé: | Department of mathematics/Dipartimento di Matematica [Univ. Trento], Università degli Studi di Trento (UNITN), Laboratoire Jean Alexandre Dieudonné (LJAD), Université Nice Sophia Antipolis (1965 - 2019) (UNS), COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Centre National de la Recherche Scientifique (CNRS)-Université Côte d'Azur (UCA), Control, Analysis and Simulations for TOkamak Research (CASTOR), Inria Sophia Antipolis - Méditerranée (CRISAM), Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Laboratoire Jean Alexandre Dieudonné (LJAD), COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Centre National de la Recherche Scientifique (CNRS)-Université Côte d'Azur (UCA)-Université Nice Sophia Antipolis (1965 - 2019) (UNS), Laboratoire Jean Alexandre Dieudonné (JAD), Université Côte d'Azur (UCA)-Université Nice Sophia Antipolis (... - 2019) (UNS), COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Centre National de la Recherche Scientifique (CNRS), Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Laboratoire Jean Alexandre Dieudonné (JAD), COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Centre National de la Recherche Scientifique (CNRS)-Université Côte d'Azur (UCA)-Université Nice Sophia Antipolis (... - 2019) (UNS) |
| Rok vydání: | 2019 |
| Předmět: |
Pure mathematics
74J05 Discrete functions field reconstruction Degrees of freedom High order Whitney forms on simplices 010103 numerical & computational mathematics 01 natural sciences Finite element method 010101 applied mathematics Set (abstract data type) Computational Mathematics Computational Theory and Mathematics spanning family Modeling and Simulation new degrees of freedom 2000 MSC: 65M60 Polygon mesh New degrees of freedom 0101 mathematics High order [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA] Mathematics |
| Zdroj: | Computers & Mathematics with Applications Computers & Mathematics with Applications, 2019, 78 (9), pp.2961-2972. ⟨10.1016/j.camwa.2019.03.006⟩ Computers & Mathematics with Applications, Elsevier, 2019, 78 (9), pp.2961-2972. ⟨10.1016/j.camwa.2019.03.006⟩ |
| ISSN: | 0898-1221 |
| DOI: | 10.1016/j.camwa.2019.03.006 |
| Popis: | International audience; 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. |
| Databáze: | OpenAIRE |
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