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On the parametric finite element approximation of evolving hypersurfaces in R3

Barrett, John W. ; Garcke, Harald ; Nürnberg, Robert



Zusammenfassung

We present a variational formulation of motion by minus the Laplacian of curvature and mean curvature flow, as well as related second and fourth order flows of a closed hypersurface in R-3. On introducing a parametric finite element approximation, we prove stability bounds and compare our scheme with existing approaches. The presented scheme has very good properties with respect to the ...

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