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Anisotropic curve shortening flow in higher codimension
Author(s) -
Pozzi Paola
Publication year - 2007
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.836
Subject(s) - mathematics , discretization , mean curvature flow , flow (mathematics) , curvature , convergence (economics) , codimension , anisotropy , parametric statistics , finite element method , mathematical analysis , geometry , mean curvature , physics , statistics , quantum mechanics , economics , thermodynamics , economic growth
We consider the evolution of parametric curves by anisotropic mean curvature flow in ℝ n for an arbitrary n ⩾2. After the introduction of a spatial discretization, we prove convergence estimates for the proposed finite‐element model. Numerical tests and simulations based on a fully discrete semi‐implicit stable algorithm are presented. Copyright © 2007 John Wiley & Sons, Ltd.