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We study numerical methods for solving a non-stationary mixed Stokes-Darcy problem that models coupled fluid flow and porous media flow. A decoupling approach based on interface approximation via temporal extrap-olation is proposed for devising decoupled marching algorithms for the mixed model. Error estimates are derived and numerical experiments are… (More)

This paper deals with a solution approach suitable for (:omposite PDEs with interface conditions. We present a general framework based on interface relaxation which provides a uniform platform for building problem solving environmen\.s t1lrough efficient softwaIe integration and for implementing various relaxation schemes. Mathematically, this framework… (More)

A new approach was presented in [11] for construcling preconditioners through a function approximation for the domain decomposi~ion-based preconditioned conjugate gradient method. This work extends the approach to more general cases where grids may be nonuniform; elliptic op-eratoI'B may have variable coefficients (but are separable and self-adjoint); and… (More)