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

  author = { T.~Grauschopf and M.~Griebel and H.~Regler},
  title = {Additive multilevel-preconditioners based on bilinear
		  interpolation, matrix dependent geometric coarsening and
		  algebraic multigrid coarsening for second order elliptic
  journal = { Applied Numerical Mathematics},
  volume = {23(1)},
  pages = {63-96},
  year = {1997},
  note = {also as SFB-Bericht 342/02/96A Institut f\"ur Informatik,
		  TU M\"unchen, 1996},
  annote = {article},
  ps = { 1},
  url = { 1},
  abstract = {In this paper, we study additive multilevel
		  preconditioners based on bilinear interpolation,
		  matrix-dependent interpolations and the algebraic multigrid
		  approach. We consider 2nd order elliptic problems, i.e.
		  strong elliptic ones, singular perturbation problems and
		  problems with locally strongly varying or discontinuous
		  coefficient functions. We report on the results of our
		  numerical experiments which show that especially the
		  algebraic multigrid based method is mostly robust also in
		  the additive case.}