Deckelnick, 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 -
