Abstract
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.
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