Geodesic
Computational anisotropic Willmore flow
Paola Pozzi1
1Universität Duisburg-Essen, Germany
Interfaces and free boundaries, Tome 17 (2015) no. 2, pp. 189-232

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DOI

We study a geometrically consistent formulation of anisotropic Willmore flow for parametric hypersurfaces in Rn. After giving a mixed formulation that is suitable for discretization by piecewise linear finite elements, we provide a stable semi-discrete scheme. An experimentally stable fully discrete semi-implicit scheme is then discussed and several tests for the evolution of curves and surfaces are presented.
DOI : 10.4171/ifb/339
Classification : 35-XX, 65-XX
Mots-clés : Geometric evolution equation, fourth order parabolic problem, anisotropic Willmore functional, mixed method, finite elements, stability

Paola Pozzi  1

1 Universität Duisburg-Essen, Germany 
Paola Pozzi. Computational anisotropic Willmore flow. Interfaces and free boundaries, Tome 17 (2015) no. 2, pp. 189-232. doi: 10.4171/ifb/339
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     author = {Paola Pozzi},
     title = {Computational anisotropic {Willmore} flow},
     journal = {Interfaces and free boundaries},
     pages = {189--232},
     year = {2015},
     volume = {17},
     number = {2},
     doi = {10.4171/ifb/339},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/339/}
}
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