@Article{	  Knapek:1999,
  author	= {S.~Knapek},
  title		= {Matrix-dependent multigrid homogenization for diffusion
		  problems},
  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
		  approaches.},
  ps		= {http://wissrech.ins.uni-bonn.de/research/pub/knapek/mghomo.ps.gz}
		  
}