The $T$-coercivity approach for solving Stokes problem: stabilization of finite element pairs - Institut Polytechnique de Paris Access content directly
Preprints, Working Papers, ... Year : 2024

The $T$-coercivity approach for solving Stokes problem: stabilization of finite element pairs

Abstract

Using the T-coercivity theory as advocated in Chesnel-Ciarlet [Numer. Math., 2013], we propose a new variational formulation of Stokes problem. With this new formulation, unstable finite element pairs can be stabilized. In addition, the numerical scheme is easy to implement, and a better approximation of the velocity and the pressure is observed numerically, especially when the viscosity is small.
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Dates and versions

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

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  • HAL Id : hal-04414789 , version 1

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Patrick Ciarlet, Erell Jamelot. The $T$-coercivity approach for solving Stokes problem: stabilization of finite element pairs. 2024. ⟨hal-04414789v1⟩

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