Inf-Sup Stable Non-Conforming Finite Elements on Tetrahedra With Second- and Third-Order Accuracy

Loïc Balazi; Grégoire Allaire; Pierre Jolivet; Pascal Omnes

doi:10.1002/num.70057

Inf-Sup Stable Non-Conforming Finite Elements on Tetrahedra With Second- and Third-Order Accuracy

Loïc Balazi
, Grégoire Allaire
, Pierre Jolivet
, Pascal Omnes

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

We introduce a family of scalar non-conforming finite elements with second- and third-order accuracy with respect to the (Formula presented.) -norm on tetrahedra. Their vector-valued versions generate, together with discontinuous pressure approximations of order one and two, respectively, inf-sup stable finite element pairs with convergence order two and three for the Stokes problem in energy norm.

langue originale	Anglais
Numéro d'article	e70057
journal	Numerical Methods for Partial Differential Equations
Volume	41
Numéro de publication	6
Les DOIs	https://doi.org/10.1002/num.70057
état	Publié - 1 nov. 2025

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10.1002/num.70057

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title = "Inf-Sup Stable Non-Conforming Finite Elements on Tetrahedra With Second- and Third-Order Accuracy",

abstract = "We introduce a family of scalar non-conforming finite elements with second- and third-order accuracy with respect to the (Formula presented.) -norm on tetrahedra. Their vector-valued versions generate, together with discontinuous pressure approximations of order one and two, respectively, inf-sup stable finite element pairs with convergence order two and three for the Stokes problem in energy norm.",

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AU - Balazi, Loïc

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AU - Jolivet, Pierre

AU - Omnes, Pascal

PY - 2025/11/1

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AB - We introduce a family of scalar non-conforming finite elements with second- and third-order accuracy with respect to the (Formula presented.) -norm on tetrahedra. Their vector-valued versions generate, together with discontinuous pressure approximations of order one and two, respectively, inf-sup stable finite element pairs with convergence order two and three for the Stokes problem in energy norm.

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Inf-Sup Stable Non-Conforming Finite Elements on Tetrahedra With Second- and Third-Order Accuracy

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