Universität Freiburg

h-p-multiresolution visualization of adaptive adaptive finite element simulations



Bernard Haasdonk, Mario Ohlberger, Martin Rumpf, Alfred Schmidt, Kunibert G. Siebert



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)

Freiburg Preprint 26/2001, 24 p.

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