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

  author = {M. Griebel and G. Zumbusch},
  title = {Hash based adaptive parallel multilevel methods with
		  space-filling curves},
  booktitle = {NIC Symposium 2001},
  year = {2002},
  editor = {Horst Rollnik and Dietrich Wolf},
  series = {NIC Series, ISBN 3-00-009055-X},
  publisher = {Forschungszentrum J\"ulich},
  address = {Germany},
  volume = {9},
  pages = {479--492},
  ps = { 1},
  pdf = { 1},
  annote = {unrefereed series,parallel},
  abstract = {The solution of partial differential equations on a
		  parallel computer usually follows the data parallel
		  paradigm. The grid is partitioned and mapped onto the
		  processors. In this paper a parallelisable and cheap method
		  based on space-filling curves is proposed. The partitioning
		  is embedded into the parallel solution algorithm using
		  multilevel iterative solvers and adaptive grid refinement.
		  Numerical experiments on two massively parallel computers
		  prove the efficiency of this approach. }