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Some remarks on spanning families and weights for high order Whitney spaces on simplices

  • Published:2019-11 Issue:9 Volume:78 Page:2961-2972
  • ISSN:0898-1221
  • Container-title:Computers & Mathematics with Applications
  • language:en
  • Short-container-title:Computers & Mathematics with Applications

Author:

Alonso Rodríguez Ana,Rapetti Francesca

Funder

Universite Cote d’Azur (UCA) in Nice, France

Publisher

Elsevier BV

Subject

Computational Mathematics,Computational Theory and Mathematics,Modelling and Simulation

Reference15 articles.

1. Mixed finite elements in R3;Nédélec;Numer. Math.,1980

2. Nédélec spaces in affine coordinates;Gopalakrishnan;Comput. Math. Appl.,2005

3. Finite element exterior calculus, homological techniques, and applications;Arnold;Acta Numer.,2006

4. Whitney forms of higher degree;Rapetti;SIAM J. Numer. Anal.,2009

5. Bernstein-Bézier bases for tetrahedral finite elements;Ainsworth;Comput. Methods Appl. Mech. Engrg.,2018

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1. Weights for moments’ geometrical localization: a canonical isomorphism;Advances in Computational Mathematics;2024-08

2. A priori verification method for curl‐conforming basis functions in simplices;Mathematical Methods in the Applied Sciences;2024-07-29

3. Locally structure-preserving div-curl operators for high order discontinuous Galerkin schemes;Journal of Computational Physics;2023-08

4. Using the FES framework to derive new physical degrees of freedom for finite element spaces of differential forms;Advances in Computational Mathematics;2023-03-06

5. Comments on a High-Order Whitney Complex for Simplices;IEEE Journal on Multiscale and Multiphysics Computational Techniques;2019
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