A Convolution-Thresholding Approximation of Generalized Curvature Flows

Autor:	Richards Grzhibovskis, Alexei Heintz
Rok vydání:	2005
Předmět:	Surface (mathematics) Numerical Analysis Mean curvature flow Mean curvature Applied Mathematics Numerical analysis Topology Curvature Thresholding Convolution Computational Mathematics Applied mathematics Viscosity solution Mathematics
Zdroj:	SIAM Journal on Numerical Analysis. 42:2652-2670
ISSN:	1095-7170 0036-1429
DOI:	10.1137/s0036142903431316
Popis:	We construct a convolution-thresholding approximation scheme for the geometric surface evolution in the case when the velocity of the surface at each point is a given function of the mean curvature. Conditions for the monotonicity of the scheme are found and the convergence of the approximations to the corresponding viscosity solution is proved. We also discuss some aspects of the numerical implementation of such schemes and present several numerical results.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::14be224a870f1b93fbe5e2372d8a89d0 https://doi.org/10.1137/s0036142903431316 Zobrazit plný text záznamu