Discrete anisotropic curvature flow of graphs

Authors
Deckelnick, K Dziuk, G
Citation
K. Deckelnick et G. Dziuk, Discrete anisotropic curvature flow of graphs, RAIRO-M MOD, 33(6), 1999, pp. 1203-1222
Citations number
14
Categorie Soggetti
Mathematics
Journal title
RAIRO-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE
ISSN journal
0764583X → ACNP
Volume
33
Issue
6
Year of publication
1999
Pages
1203 - 1222
Database
ISI
SICI code
0764-583X(199911/12)33:6<1203:DACFOG>2.0.ZU;2-A
Abstract
The evolution of n-dimensional graphs under a weighted curvature flow is ap proximated by linear finite elements. We obtain optimal error bounds for th e normals and the normal velocities of the surfaces in natural norms. Furth ermore we prove a global existence result for the continuous problem and pr esent some examples of computed surfaces. AMS Subject Classification. 65N30 ,35K65.