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Anisotropic curve shortening flow in higher codimension

✍ Scribed by Paola Pozzi

Publisher
John Wiley and Sons
Year
2007
Tongue
English
Weight
535 KB
Volume
30
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

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.

📜 SIMILAR VOLUMES

A semi-Lagrangian scheme for the curve s
A semi-Lagrangian scheme for the curve shortening flow in codimension-2
✍ E. Carlini; M. Falcone; R. Ferretti 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 766 KB

We consider the model problem where a curve in R 3 moves according to the mean curvature flow (the curve shortening flow). We construct a semi-Lagrangian scheme based on the Feynman-Kac representation formula of the solutions of the related level set geometric equation. The first step is to obtain a