h{p{MULTIRESOLUTION VISUALIZATION OF ADAPTIVE FINITE ELEMENT SIMULATIONS

We propose an appropriate and eÆcient multiresolution visualization method for so called h{p{adaptive nite 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 re ned grids. Given some suitable error indicators, we eÆciently 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 nal color look up tables. Numerical experiments from CFD clearly demonstrate the applicability and eÆciency of our approach.