T. Gerstner, M. Rumpf, and U. Weikard.
Error Indicators for Multilevel Visualization and Computing
on Nested Grids.
Computers & Graphics, 24(3):363-373, 2000.
(shortened version in Data Visualization '99, E. Gröller, H.
Löffelmann, W. Ribarsky (eds), pp. 199-211, Springer, 1999, also as SFB 256
report 24, Univ. Bonn, 1999).
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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.