Preconditioning techniques for a mixed Stokes/Darcy model in porous media applications
Journal of Computational and Applied Mathematics
A Parallel Robin-Robin Domain Decomposition Method for the Stokes-Darcy System
SIAM Journal on Numerical Analysis
A multilevel decoupled method for a mixed Stokes/Darcy model
Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics
Coupling nonlinear Stokes and Darcy flow using mortar finite elements
Applied Numerical Mathematics
Error studies of the Coupling Darcy-Stokes System with velocity-pressure formulation
Calcolo: a quarterly on numerical analysis and theory of computation
Spectral methods based on new formulations for coupled Stokes and Darcy equations
Journal of Computational Physics
A Decoupled Preconditioning Technique for a Mixed Stokes---Darcy Model
Journal of Scientific Computing
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We consider a Galerkin Finite Element approximation of the Stokes–Darcy problem which models the coupling between surface and groundwater flows. Then we propose an iterative subdomain method for its solution, inspired to the domain decomposition theory. The convergence analysis that we develop is based on the properties of the discrete Steklov–Poincaré operators associated to the given coupled problem. An optimal preconditioner for Krylov methods is proposed and analyzed.