A Discretization and Multigrid Solver for a Darcy-stokes System of Three Dimensional Vuggy Porous Media

@inproceedings{Arbogast2008ADA,
title={A Discretization and Multigrid Solver for a Darcy-stokes System of Three Dimensional Vuggy Porous Media},
author={Todd Arbogast},
year={2008}
}

We develop a finite element discretization and multigrid solver for a Darcy-Stokes system of three dimensional vuggy porous media, i.e., porous media with cavities. The finite element method uses low order mixed finite elements in the Darcy and Stokes domains, and special transition elements near the Darcy-Stokes interface to allow for tangential discontinuities implied by the Beavers-Joseph boundary condition. We design a multigrid method to solve the resulting saddle point linear system. The… CONTINUE READING