Geodesic
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.

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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 
@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},
     publisher = {mathdoc},
     volume = {49},
     number = {6},
     year = {2013},
     mrnumber = {3182643},
     zbl = {1290.65083},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2013__49_6_a0/}
}
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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/