Mixed and hybrid finite element methods
Mixed and hybrid finite element methods
A preconditioned iterative method for saddlepoint problems
SIAM Journal on Matrix Analysis and Applications
A multilevel mesh independence principle for the Navier-Stokes equations
SIAM Journal on Numerical Analysis
Two-grid Discretization Techniques for Linear and Nonlinear PDEs
SIAM Journal on Numerical Analysis
Local and parallel finite element algorithms based on two-grid discretizations
Mathematics of Computation
On the interface boundary condition of Beavers, Joseph, and Saffman
SIAM Journal on Applied Mathematics
An iterative substructuring method for coupled fluid-solid acoustic problems
Journal of Computational Physics
Coupling Fluid Flow with Porous Media Flow
SIAM Journal on Numerical Analysis
Mathematical and numerical models for coupling surface and groundwater flows
Applied Numerical Mathematics
Computing and Visualization in Science
Locally Conservative Coupling of Stokes and Darcy Flows
SIAM Journal on Numerical Analysis
A Two-Grid Method of a Mixed Stokes-Darcy Model for Coupling Fluid Flow with Porous Media Flow
SIAM Journal on Numerical Analysis
Preconditioning techniques for a mixed Stokes/Darcy model in porous media applications
Journal of Computational and Applied Mathematics
A Decoupled Preconditioning Technique for a Mixed Stokes---Darcy Model
Journal of Scientific Computing
| Hi-index | 7.29 |
This paper studies decoupled numerical methods for a mixed Stokes/Darcy model for coupling fluid and porous media flows. A two-level algorithm is proposed and analyzed in Mu and Xu (2007) [10]. We generalize the two-level algorithm to a multilevel algorithm in this paper and present numerical analysis on the error estimates for the multilevel algorithm. The multilevel algorithm solves the mixed Stokes/Darcy system by applying efficient legacy code for single model solvers to solve two decoupled Stokes and Darcy subproblems on all the subsequently refined meshes, except for a much smaller global problem only on a very coarse initial mesh. Numerical experiments are conducted for both the two-level and multilevel algorithms to illustrate their effectiveness and efficiency, and validate the related theoretical analysis.