Explicit T-coercivity for the Stokes problem: A coercive finite element discretization
Using the T-coercivity theory as advocated in [Chesnel, Ciarlet, T -coercivity and continuous Galerkin methods: application to transmission problems with sign changing coefficients (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.
Authors
- Patrick Ciarlet (ORCID: https://orcid.org/0000-0003-1198-5063)
- Erell Jamelot (ORCID: https://orcid.org/0000-0002-9919-0793)
Institutions
- Commissariat à l'Énergie Atomique et aux Énergies Alternatives (FR)
- Université Paris-Saclay (FR)
- CEA Paris-Saclay (FR)
- POEMS: Propagation des Ondes : Etude Mathématique et Simulationan (FR)
- Institut des Sciences Appliquées et de la Simulation pour les énergies bas carbone (FR)
Publication Details
- Journal
- Computers & Mathematics with Applications
- Published
- 2025-04-06
- DOI
- https://doi.org/10.1016/j.camwa.2025.03.028
- Citations
- 3
- Primary Topic
- Advanced Numerical Methods in Computational Mathematics
- Type
- article
- Field-Weighted Citation Impact
- 4.00