Explicit T-coercivity for the Stokes problem: a coercive finite element discretization - Inria - Institut national de recherche en sciences et technologies du numérique
Pré-Publication, Document De Travail Année : 2024

Explicit T-coercivity for the Stokes problem: a coercive finite element discretization

Résumé

Using the T -coercivity theory as advocated in Chesnel-Ciarlet [Numer. Math., 2013], we propose a new variational formulation of the Stokes problem which does not involve nonlocal operators. With this new formulation, unstable finite element pairs are stabilized. In addition, the numerical scheme is easy to implement, and a better approximation of the velocity and the pressure is observed numerically when the viscosity is small
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Dates et versions

hal-04414789 , version 1 (24-01-2024)
hal-04414789 , version 2 (07-06-2024)
hal-04414789 , version 3 (15-10-2024)

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Patrick Ciarlet, Erell Jamelot. Explicit T-coercivity for the Stokes problem: a coercive finite element discretization. 2024. ⟨hal-04414789v3⟩
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