Work

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

Year: 2025

Type: article

Abstract: 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.

Source: Computers & Mathematics with Applications

DOI: 10.1016/j.camwa.2025.03.028

Authors: Patrick Ciarlet, Erell Jamelot

Institutions: POEMS: Propagation des Ondes : Etude Mathématique et Simulationan, Commissariat à l'Énergie Atomique et aux Énergies Alternatives, Université Paris-Saclay, CEA Paris-Saclay - Etablissement de Saclay, CEA Paris-Saclay, Service de Thermo-hydraulique et de Mécanique des Fluides

Language: English

Topic: Advanced Numerical Methods in Computational Mathematics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,170

OpenAlex ID: W4403619108

FWCI: 1.778

Cites: 49

Cited by: 4

Related to: 10