Geodesic
Consistency result for a non monotone scheme for anisotropic mean curvature flow
Eric Bonnetier1 ; Elie Bretin2 ; Antonin Chambolle3 orcid
1Université Joseph Fourier, Grenoble, France
2INSA de Lyon, Villeurbanne, France
3Ecole Polytechnique, Palaiseau, France
Interfaces and free boundaries, Tome 14 (2012) no. 1, pp. 1-35

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DOI

In this paper, we propose a new scheme for anisotropic motion by mean curvature in Rd. The scheme consists of a phase-field approximation of the motion, where the nonlinear diffusive terms in the corresponding anisotropic Allen-Cahn equation are linearized in the Fourier space. In real space, this corresponds to the convolution with a specific kernel of the form
DOI : 10.4171/ifb/272
Classification : 53-XX, 35-XX, 45-XX, 00-XX
Mots-clés : Anisotropic mean curvature flow, BMO algorithm, phase field approximation

Eric Bonnetier  1   ; Elie Bretin  2   ; Antonin Chambolle  3

1 Université Joseph Fourier, Grenoble, France
2 INSA de Lyon, Villeurbanne, France
3 Ecole Polytechnique, Palaiseau, France 
Eric Bonnetier; Elie Bretin; Antonin Chambolle. Consistency result for a non monotone scheme for anisotropic mean curvature flow. Interfaces and free boundaries, Tome 14 (2012) no. 1, pp. 1-35. doi: 10.4171/ifb/272
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     title = {Consistency result for a non monotone scheme for anisotropic mean curvature flow},
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     pages = {1--35},
     year = {2012},
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     number = {1},
     doi = {10.4171/ifb/272},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/272/}
}
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