A decomposition of the raviart-thomas finite element into a scalar and an orientation-preserving part

Fleurianne Bertrand*

*Corresponding author for this work

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Abstract

This contribution considers the conforming finite element discretizations the vector-valued function space H(div, Ω) in 2 and 3 dimensions. A new set of basis functions on simplices is introduced, using a decomposition into an orientation setting part with the edgewise constant normal flux as a degree of freedom and an orientation preserving higher-order part. As a simple combination of lowest-order Raviart-Thomas elements and higher order Lagrange-elements, the basis is suited for fast assembling strategies.

Original languageEnglish
Title of host publication14th World Congress on Computational Mechanics
Subtitle of host publicationWCCM-ECCOMAS Congress 2020
EditorsF. Chinesta, R. Abgrall, O. Allix, M. Kaliske
PublisherSCIPEDIA
Number of pages12
Volume2100
DOIs
Publication statusPublished - 10 Mar 2021
Event14th World Congress of Computational Mechanics and ECCOMAS Congress, WCCM-ECCOMAS 2020 - Virtual, Online
Duration: 11 Jan 202115 Jan 2021

Conference

Conference14th World Congress of Computational Mechanics and ECCOMAS Congress, WCCM-ECCOMAS 2020
Abbreviated titleWCCM-ECCOMAS 2020
Period11/01/2115/01/21

Keywords

  • Mixed finite element methods
  • Raviart-Thomas element

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