Badea, LoriDiscacciati, MarcoQuarteroni, Alfio2010-01-222010-01-222010-01-22201010.1007/s00211-009-0279-6https://infoscience.epfl.ch/handle/20.500.14299/45960We consider a differential system based on the coupling of the Navier-Stokes and Darcy equations for modeling the interaction between surface and porous media flows. We formulate the problem as an interface equation, we analyze the associated (nonlinear) Steklov-Poincare' operators, and we prove its wellposedness. We propose and analyze iterative methods to solve a conforming finite element approximation of the coupled problem.Finite-Dimensional ApproximationNonlinear ProblemsDerivationPointsFlowLawtext::journal::journal article::research article