Inf-sup stable non-conforming finite elements on tetrahedra with second and third order accuracy - Institut des Sciences Appliquées et de la Simulation pour les énergies bas carbone Access content directly
Preprints, Working Papers, ... Year : 2024

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 $H^1$-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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hal-04541809 , version 1 (11-04-2024)

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  • HAL Id : hal-04541809 , version 1

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Loïc Balazi, Grégoire Allaire, Pierre Jolivet, Pascal Omnes. Inf-sup stable non-conforming finite elements on tetrahedra with second and third order accuracy. 2024. ⟨hal-04541809⟩
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