Anisotropic mean curvature flow for two-dimensional surfaces in higher codimension: a numerical scheme
Interfaces and free boundaries, Tome 10 (2008) no. 4, pp. 539-576
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We consider evolution of two dimensional parametric surfaces by ani\-sotropic mean curvature flow in Rn, for arbitrary n≥3. After deriving a classical and a weak formulation of the flow, a fully discrete stable finite element scheme is proposed, and numerical tests and simulations are presented.
Classification :
35-XX, 65-XX, 76-XX, 92-XX
Affiliations des auteurs :
Paola Pozzi  1
Paola Pozzi. Anisotropic mean curvature flow for two-dimensional surfaces in higher codimension: a numerical scheme. Interfaces and free boundaries, Tome 10 (2008) no. 4, pp. 539-576. doi: 10.4171/ifb/201
@article{10_4171_ifb_201,
author = {Paola Pozzi},
title = {Anisotropic mean curvature flow for two-dimensional surfaces in higher codimension: a numerical scheme},
journal = {Interfaces and free boundaries},
pages = {539--576},
year = {2008},
volume = {10},
number = {4},
doi = {10.4171/ifb/201},
url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/201/}
}
TY - JOUR AU - Paola Pozzi TI - Anisotropic mean curvature flow for two-dimensional surfaces in higher codimension: a numerical scheme JO - Interfaces and free boundaries PY - 2008 SP - 539 EP - 576 VL - 10 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4171/ifb/201/ DO - 10.4171/ifb/201 ID - 10_4171_ifb_201 ER -
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