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

  author = {Gerstner, T. and Rumpf, M. and Weikard, U.},
  title = {{E}rror {I}ndicators for {M}ultilevel {V}isualization and
		  {C}omputing on {N}ested {G}rids},
  journal = {Computers \& Graphics},
  volume = {24},
  number = {3},
  pages = {363--373},
  note = {(shortened version in Data Visualization '99, E.
		  Gr\"oller, H. L\"offelmann, W. Ribarsky (eds), pp. 199-211,
		  Springer, 1999, also as SFB 256 report 24, Univ. Bonn,
  ps = { 1},
  abstract = { Nowadays computing and post processing of simulation data
		  is often based on efficient hierarchical methods. While
		  multigrid methods are already established standards for
		  fast simulation codes, multiresolution visualization
		  methods have only recently become an important ingredient
		  of real--time interactive post processing. Both
		  methodologies use local error indicators which serve as
		  criteria where to refine the data representation on the
		  physical domain. In this article we give an overview on
		  different types of error measurement on nested grids and
		  compare them for selected applications in 2D as well as in
		  3D. Furthermore, it is pointed out that a certain
		  saturation of the considered error indicator plays an
		  important role in multilevel visualization and computing on
		  implicitly defined adaptive grids. },
  year = {2000},
  annote = {project_hier_terrain,256C}