Hostname: page-component-586b7cd67f-rcrh6 Total loading time: 0 Render date: 2024-11-28T03:15:56.954Z Has data issue: false hasContentIssue false
  • English
  • Français

Discrete anisotropic curvature flow of graphs

Published online by Cambridge University Press:  15 August 2002

Klaus Deckelnick  and
Gerhard Dziuk
Klaus Deckelnick
Affiliation:
Institut für Angewandte Mathematik, Hermann–Herder–Straße 10, 79104 Freiburg i. Br., Germany. [email protected].
Gerhard Dziuk
Affiliation:
Institut für Angewandte Mathematik, Hermann–Herder–Straße 10, 79104 Freiburg i. Br., Germany. [email protected].
Get access

Abstract

The evolution of n–dimensional graphs under a weighted curvature flow is approximated by linear finite elements. We obtain optimal error bounds for the normals and the normal velocities of the surfacesin natural norms. Furthermore we prove a global existence result for thecontinuous problem and present some examples of computed surfaces.

Keywords

Mean curvature flowanisotropicfinite elementsconvergence.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 33 , Issue 6 , November 1999 , pp. 1203 - 1222
Copyright
© EDP Sciences, SMAI, 1999

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)