Error studies of the Coupling Darcy-Stokes system with velocity-pressure formulation

Fida El Chami (1) , Gihane Mansour (2) , Toni Sayah (2)

1 LU / ULB - الجامعة اللبنانية [بيروت] = Lebanese University [Beirut] = Université libanaise [Beyrouth]
2 FS - Faculté des sciences-USJ

In this paper we study the Coupling Darcy-Stokes Systems. We establish a coupled variational formulation with the velocity and the pressure. The velocity is approximated with curl conforming finite elements and the pressure with standard continuous elements. We establish optimal a priori and a posteriori error estimates. We conclude our paper with some numerical simulations.

Mots clés: A priori and a posteriori errors; Stokes equation; Darcy equation; A priori and a posteriori errors.

Domaines: Analyse numérique [math.NA]

Fida El Chami, Gihane Mansour, Toni Sayah. Error studies of the Coupling Darcy-Stokes system with velocity-pressure formulation. 2011. ⟨hal-00511792v3⟩