# Discrete anisotropic curvature flow of graphs

Klaus Deckelnick; Gerhard Dziuk

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

- Volume: 33, Issue: 6, page 1203-1222
- ISSN: 0764-583X

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topDeckelnick, Klaus, and Dziuk, Gerhard. "Discrete anisotropic curvature flow of graphs." ESAIM: Mathematical Modelling and Numerical Analysis 33.6 (2010): 1203-1222. <http://eudml.org/doc/197562>.

@article{Deckelnick2010,

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 surfaces
in natural norms.
Furthermore we prove a global existence result for the
continuous problem and present some examples of computed surfaces.
},

author = {Deckelnick, Klaus, Dziuk, Gerhard},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis},

keywords = {Mean curvature flow; anisotropic; finite elements;
convergence.; error bounds; linear finite element; evolution; curvature flow},

language = {eng},

month = {3},

number = {6},

pages = {1203-1222},

publisher = {EDP Sciences},

title = {Discrete anisotropic curvature flow of graphs},

url = {http://eudml.org/doc/197562},

volume = {33},

year = {2010},

}

TY - JOUR

AU - Deckelnick, Klaus

AU - Dziuk, Gerhard

TI - Discrete anisotropic curvature flow of graphs

JO - ESAIM: Mathematical Modelling and Numerical Analysis

DA - 2010/3//

PB - EDP Sciences

VL - 33

IS - 6

SP - 1203

EP - 1222

AB -
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 surfaces
in natural norms.
Furthermore we prove a global existence result for the
continuous problem and present some examples of computed surfaces.

LA - eng

KW - Mean curvature flow; anisotropic; finite elements;
convergence.; error bounds; linear finite element; evolution; curvature flow

UR - http://eudml.org/doc/197562

ER -

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