Anisotropic curve shortening flow in higher codimension | Zendy

Pozzi Paola | Zendy

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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.

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