Geometric Multigrid for Darcy and Brinkman models of flows in highly   heterogeneous porous media: A numerical study
  We apply geometric multigrid methods for the finite element approximation of flow problems governed by Darcy and Brinkman systems used in modeling highly heterogeneous porous media. The method is based on divergence-conforming discontinuous Galerkin methods and overlapping, patch based domain decomposition smoothers. We show in benchmark experiments that the method is robust with respect to mesh size and contrast of permeability for highly heterogeneous media. 
Guido Kanschat and Raytcho Lazarov and Youli Mao
math.NA