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

Hoppe, Ronald H. W.; Porta, Paulo; Vassilevski, Yuri

Calcolo 44, No. 1, 1-20 (2007).

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.

Reviewer: Thomas Sonar (Braunschweig)

MSC:

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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