We construct sets of basis functions of the space of divergence-free finite elements of Raviart–Thomas type in domains of general topology. Two different methods are presented: one using a suitable selection of the curls of Nédélec finite elements, the other based on an efficient algebraic procedure. The first approach looks to be more useful for numerical approximation, as the basis functions have a localized support.

Graphs, spanning trees and divergence-free finite elements in domains of general topology / Alonso Rodriguez, Ana Maria; Camaño, Jessika; Ghiloni, Riccardo; Valli, Alberto. - In: IMA JOURNAL OF NUMERICAL ANALYSIS. - ISSN 1464-3642. - ELETTRONICO. - 37:4(2017), pp. 1986-2003. [10.1093/imanum/drw047]

Graphs, spanning trees and divergence-free finite elements in domains of general topology

Alonso Rodriguez, Ana Maria;Ghiloni, Riccardo;Valli, Alberto
2017-01-01

Abstract

We construct sets of basis functions of the space of divergence-free finite elements of Raviart–Thomas type in domains of general topology. Two different methods are presented: one using a suitable selection of the curls of Nédélec finite elements, the other based on an efficient algebraic procedure. The first approach looks to be more useful for numerical approximation, as the basis functions have a localized support.
2017
4
Alonso Rodriguez, Ana Maria; Camaño, Jessika; Ghiloni, Riccardo; Valli, Alberto
Graphs, spanning trees and divergence-free finite elements in domains of general topology / Alonso Rodriguez, Ana Maria; Camaño, Jessika; Ghiloni, Riccardo; Valli, Alberto. - In: IMA JOURNAL OF NUMERICAL ANALYSIS. - ISSN 1464-3642. - ELETTRONICO. - 37:4(2017), pp. 1986-2003. [10.1093/imanum/drw047]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/175206
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