19th International Meshing Roundtable
Chattanooga, Tennessee, USA.
October 3-6, 2010
Bielefeld University, Germany.
INRIA Sophia-Antipolis, France.
We present a 2D mesh improvement technique that optimizes
Voronoi diagrams for their use in polygonal nite element computations.
Starting from a centroidal Voronoi tessellation of the simulation domain we
optimize the mesh by minimizing a carefully designed energy functional that
eectively removes the major reason for numerical instabilities|short edges
in the Voronoi diagram.We evaluate our method on a 2D Poisson problem and
demonstrate that our simple but eective optimization achieves a signicant
improvement of the stiness matrix condition number.
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