Research Group of Prof. Dr. M. Griebel
Institute for Numerical Simulation

  author = {S.~Knapek},
  title = {Matrix-dependent multigrid homogenization for diffusion
  journal = {SIAM J.~Sci.~Comp.},
  year = {1999},
  optkey = {},
  volume = {20},
  number = {2},
  pages = {515--533},
  optmonth = {},
  optnote = {},
  annote = {article,256C},
  abstract = {For problems with strongly varying or discontinuous
		  diffusion coefficients we present a method to compute
		  coarse-scale operators and to approximately determine the
		  effective diffusion tensor on the coarse-scale level. The
		  approach is based on techniques that are used in multigrid,
		  such as matrix-dependent prolongations and the construction
		  of coarse-grid operators by means of the Galerkin
		  approxi\-mation. In numerical experiments we compare our
		  multigrid-homogenization method with continuous
		  homogenization, renormalization and simple averaging
  ps = { 1}