A Multigrid-Homogenization Method
Michael Griebel, S. Knapek · Notes on numerical fluid mechanics · 1997
For problems with strongly varying or discontinuous diffusion coefficients, we present a method to approximately determine the effective diffusion coefficient on the coarse scale level. It is based on techniques used also in multigrid, i.e. matrix-dependent prolongations and the construction of coarse grid operators by means of the Galerkin approximation. In numerical experiments, we compare our multigrid-homogenization method with homogenization, renormalization and averaging approaches.