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VOL. 85 | 2020 Convergence of a threshold-type algorithm for curvature-dependent motions of hypersurfaces
Katsuyuki Ishii

Editor(s) Yoshikazu Giga, Nao Hamamuki, Hideo Kubo, Hirotoshi Kuroda, Tohru Ozawa

Abstract

We consider a threshold-type algorithm for curvature-dependent motions of hypersurfaces. This algorithm was numerically studied by Kimura–Notsu [11], Esedoḡlu–Ruuth–Tsai [4] and Mohammad–Švadlenka [13], where they used the signed distance function as the level set function for curvature-dependent motions. In this artcle we present the convergence and its optimal rate of this algorithm, according to Ishii–Kimura [9] and Ishii–Izumi [10].

Information

Published: 1 January 2020
First available in Project Euclid: 29 December 2020

Digital Object Identifier: 10.2969/aspm/08510181

Subjects:
Primary: 35K15, 35K55, 65M15

Rights: Copyright © 2020 Mathematical Society of Japan

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