Domain decomposition methods for the coupling of the Stokes equations
and the porous media equations

Luigi C. Berselli, Dept. of Applied Math.  University of Pisa, Via
Bonanno 25/b, I-56126 Pisa, ITALY.

We study the system of partial differental equations coming from the
coupling of the Stokes equations and Darcy equation. These equations
model the transport of substances (back and forth) between surface and
ground water. We formulate the problem as a substructuring problem and
we solve it by also proposing a preconditioner for an elliptic problem
with rapidly varying coefficients. Numerical results showing the
effectiveness of the model are given.