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Oberseminar Numerische Mathematik / Scientific Computing

 

Hans Fritz

Universität Freiburg

Isoparametric finite element approximation of Ricci curvature

Abstract:

The surface finite element approach have been used to approximate curvatures on hypersurfaces and to discretize geometrical PDE’s. In my talk I will present a definition of discrete Ricci curvature on triangulated hypersurfaces based on a weak formulation. In the two and three dimensional case it is possible to prove that the convergence in the L2-norm is linear for a quadratic approximation of the hypersurface with isoparametric finite elements. By using a smoothing scheme in the case of a linear approximation of the hypersurface we still get a convergence of order 2/3 in the L2-norm and of order 1/3 in the W1;2-norm.

Datum: 14.02.11
Zeit:17:00 Uhr
Ort:FU Berlin, Institut für Mathematik, Arnimallee 6, 14195 Berlin.
Raum:031 im Erdgeschoss

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