Numerical analysis of a semi-implicit DDFV scheme for the regularized curvature driven level set equation in 2D
Angela Handlovičová; Dana Kotorová
Kybernetika (2013)
- Volume: 49, Issue: 6, page 829-854
- ISSN: 0023-5954
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topHandlovičová, Angela, and Kotorová, Dana. "Numerical analysis of a semi-implicit DDFV scheme for the regularized curvature driven level set equation in 2D." Kybernetika 49.6 (2013): 829-854. <http://eudml.org/doc/260838>.
@article{Handlovičová2013,
abstract = {Stability and convergence of the linear semi-implicit discrete duality finite volume (DDFV) numerical scheme in 2D for the solution of the regularized curvature driven level set equation is proved. Numerical experiments concerning comparison with exact solution and image filtering problem using proposed scheme are included.},
author = {Handlovičová, Angela, Kotorová, Dana},
journal = {Kybernetika},
keywords = {mean curvature flow; level set equation; numerical solution; semi-implicit scheme; discrete duality finite volume method; stability; convergence; discrete duality finite volume method; mean curvature flow; semi-implicit scheme; stability; convergence; curvature driven level set equation; numerical experiments; image filtering problem},
language = {eng},
number = {6},
pages = {829-854},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Numerical analysis of a semi-implicit DDFV scheme for the regularized curvature driven level set equation in 2D},
url = {http://eudml.org/doc/260838},
volume = {49},
year = {2013},
}
TY - JOUR
AU - Handlovičová, Angela
AU - Kotorová, Dana
TI - Numerical analysis of a semi-implicit DDFV scheme for the regularized curvature driven level set equation in 2D
JO - Kybernetika
PY - 2013
PB - Institute of Information Theory and Automation AS CR
VL - 49
IS - 6
SP - 829
EP - 854
AB - Stability and convergence of the linear semi-implicit discrete duality finite volume (DDFV) numerical scheme in 2D for the solution of the regularized curvature driven level set equation is proved. Numerical experiments concerning comparison with exact solution and image filtering problem using proposed scheme are included.
LA - eng
KW - mean curvature flow; level set equation; numerical solution; semi-implicit scheme; discrete duality finite volume method; stability; convergence; discrete duality finite volume method; mean curvature flow; semi-implicit scheme; stability; convergence; curvature driven level set equation; numerical experiments; image filtering problem
UR - http://eudml.org/doc/260838
ER -
References
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