A posteriori error estimates for non conforming approximation of quasi Stokes problem

B. Achchab (1) , A. Agouzal (2) , K. Bouihat (3, 1)

1 LM2CE
2 ICJ - Institut Camille Jordan
3 Université Hassan 1er [Settat]

We derive and analyze an a posteriori error estimator for nonconforming finite element approximation for the quasi-Stokes problem, which is based on the solution of local problem on stars with low cost computation, this indicator is equivalent to the energy error norm up to data oscillation, neither saturation assumption nor comparison with residual estimator are made.

Mots clés: A posteriori error estimator; nonconforming finite elements method; quasi-Stokes problem.

Domaines: Informatique [cs]; Mathématiques [math]

B. Achchab, A. Agouzal, K. Bouihat. A posteriori error estimates for non conforming approximation of quasi Stokes problem. Revue Africaine de Recherche en Informatique et Mathématiques Appliquées, 2013, Volume 16, 2012, pp.47-66. ⟨10.46298/arima.1963⟩. ⟨hal-01299520⟩