Locally conservative coupling of Stokes and Darcy flows. (English) Zbl 1084.35063
Summary: A locally conservative numerical method for solving the coupled Stokes and Darcy flows problem is formulated and analyzed. The approach employs the mixed finite element method for the Darcy region and the discontinuous Galerkin method for the Stokes region. A discrete inf-sup condition and optimal error estimates are derived.
MSC:
| 35Q35 | PDEs in connection with fluid mechanics |
| 65N30 | Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs |
| 65N15 | Error bounds for boundary value problems involving PDEs |
| 76D07 | Stokes and related (Oseen, etc.) flows |
| 76S05 | Flows in porous media; filtration; seepage |
| 76M10 | Finite element methods applied to problems in fluid mechanics |
