TY - JOUR
T1 - Explicit T-coercivity for the Stokes problem
T2 - A coercive finite element discretization
AU - Ciarlet, Patrick
AU - Jamelot, Erell
N1 - Publisher Copyright:
© 2025 The Authors
PY - 2025/6/15
Y1 - 2025/6/15
N2 - Using the T-coercivity theory as advocated in Chesnel and Ciarlet (2013) [25], 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.
AB - Using the T-coercivity theory as advocated in Chesnel and Ciarlet (2013) [25], 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.
KW - Stabilized P × P pair
KW - Stokes problem
KW - T-coercivity
UR - https://www.scopus.com/pages/publications/105001677969
U2 - 10.1016/j.camwa.2025.03.028
DO - 10.1016/j.camwa.2025.03.028
M3 - Article
AN - SCOPUS:105001677969
SN - 0898-1221
VL - 188
SP - 137
EP - 159
JO - Computers and Mathematics with Applications
JF - Computers and Mathematics with Applications
ER -