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 language | English |
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Title of host publication | 14th World Congress on Computational Mechanics |
Subtitle of host publication | WCCM-ECCOMAS Congress 2020 |
Editors | F. Chinesta, R. Abgrall, O. Allix, M. Kaliske |
Publisher | SCIPEDIA |
Number of pages | 12 |
Volume | 2100 |
DOIs | |
Publication status | Published - 10 Mar 2021 |
Event | 14th World Congress of Computational Mechanics and ECCOMAS Congress, WCCM-ECCOMAS 2020 - Virtual, Online Duration: 11 Jan 2021 → 15 Jan 2021 |
Conference
Conference | 14th World Congress of Computational Mechanics and ECCOMAS Congress, WCCM-ECCOMAS 2020 |
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Abbreviated title | WCCM-ECCOMAS 2020 |
Period | 11/01/21 → 15/01/21 |
Keywords
- Mixed finite element methods
- Raviart-Thomas element