Computational issues related to iterative coupling of subsurface and channel flows. (English) Zbl 1150.76028

The authors consider iterative solution techniques for the coupling of Darcy and Stokes flow based on efficient solvers for the discrete Stokes and Darcy problems. After a short introduction into the problem and a discussion of iterative techniques used numerical examples are given in order to compare different techniques. The paper ends with a discussion of pros and cons of the techniques tested.


76M10 Finite element methods applied to problems in fluid mechanics
65N22 Numerical solution of discretized equations for boundary value problems involving PDEs
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
76D07 Stokes and related (Oseen, etc.) flows
76S05 Flows in porous media; filtration; seepage
65F10 Iterative numerical methods for linear systems
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