Kybernetika 49 no. 6, 829-854, 2013

Numerical analysis of a semi-implicit DDFV scheme for the regularized curvature driven level set equation in 2D

Angela Handlovičová and Dana Kotorová

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.

Keywords:

stability, numerical solution, convergence, mean curvature flow, level set equation, semi-implicit scheme, discrete duality finite volume method

Classification:

35K65, 65M08, 65M12

paper.pdf

References:

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