Geodesic
A convolution thresholding scheme for the Willmore flow
Richards Grzhibovskis1 ; Alexei Heintz2
1Universität des Saarlandes, Saarbrücken, Germany
2Chalmers University of Technology, Gothenburg, Sweden
Interfaces and free boundaries, Tome 10 (2008) no. 2, pp. 139-153

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DOI

A convolution thresholding approximation scheme for the Willmore geometric flow is constructed. It is based on an asymptotic expansion of the convolution of an indicator function with a smooth, isotropic kernel. The consistency of the method is justified when the evolving surface is smooth and embedded. Some aspects of the numerical implementation of the scheme are discussed and several numerical results are presented. Numerical experiments show that the method performs well even in the case of a non-smooth initial data.
DOI : 10.4171/ifb/183
Classification : 35-XX, 65-XX, 76-XX, 92-XX
Mots-clés : Willmore flow, convolution thresholding scheme

Richards Grzhibovskis  1   ; Alexei Heintz  2

1 Universität des Saarlandes, Saarbrücken, Germany
2 Chalmers University of Technology, Gothenburg, Sweden 
Richards Grzhibovskis; Alexei Heintz. A convolution thresholding scheme for the Willmore flow. Interfaces and free boundaries, Tome 10 (2008) no. 2, pp. 139-153. doi: 10.4171/ifb/183
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     title = {A convolution thresholding scheme for the {Willmore} flow},
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     year = {2008},
     volume = {10},
     number = {2},
     doi = {10.4171/ifb/183},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/183/}
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