h-p-multiresolution visualization of adaptive adaptive finite element simulations
Bernard Haasdonk,
Mario Ohlberger,
Martin Rumpf,
Alfred Schmidt,
Kunibert G. Siebert
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Abstract:
We propose an appropriate and efficient multiresolution visualization
method for so called h-p-adaptive finite element data. This is
done by generalizing the method of adaptive projection, recently
introduced by the authors, to function data of piecewise higher
polynomial degree on locally refined grids. Given some suitable error
indicators, we efficiently extract a continuous h-p-adaptive
projection with respect to any prescribed threshold value for the
visual error. This projection can then be processed by various local
rendering methods, e.g. color coding of data or isosurface extraction.
Especially for color coding purposes modern texture capabilities are
used to directly render higher polynomial data by superposition of
polynomial basis function textures and final color look up
tables. Numerical experiments from CFD clearly demonstrate the
applicability and efficiency of our approach.
Visualization of polynomial data with p-texture (left) and
texture using supsampling (right)
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Freiburg Preprint 26/2001, 24 p.
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