Numerical analysis of a semi-implicit DDFV scheme for the regularized curvature driven level set equation in 2D
Kybernetika, Tome 49 (2013) no. 6, pp. 829-854
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library
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.
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.
Classification :
35K55, 35K65, 65M08, 65M12
Keywords: mean curvature flow; level set equation; numerical solution; semi-implicit scheme; discrete duality finite volume method; stability; convergence
Keywords: mean curvature flow; level set equation; numerical solution; semi-implicit scheme; discrete duality finite volume method; stability; convergence
@article{KYB_2013_49_6_a0,
author = {Handlovi\v{c}ov\'a, Angela and Kotorov\'a, Dana},
title = {Numerical analysis of a semi-implicit {DDFV} scheme for the regularized curvature driven level set equation in {2D}},
journal = {Kybernetika},
pages = {829--854},
year = {2013},
volume = {49},
number = {6},
mrnumber = {3182643},
zbl = {1290.65083},
language = {en},
url = {http://geodesic.mathdoc.fr/item/KYB_2013_49_6_a0/}
}
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 SP - 829 EP - 854 VL - 49 IS - 6 UR - http://geodesic.mathdoc.fr/item/KYB_2013_49_6_a0/ LA - en ID - KYB_2013_49_6_a0 ER -
Handlovičová, Angela; Kotorová, Dana. Numerical analysis of a semi-implicit DDFV scheme for the regularized curvature driven level set equation in 2D. Kybernetika, Tome 49 (2013) no. 6, pp. 829-854. http://geodesic.mathdoc.fr/item/KYB_2013_49_6_a0/