CONVERGENCE OF AN ALGORITHM FOR MEAN-CURVATURE MOTION

Authors
EVANS LC
Citation
Lc. Evans, CONVERGENCE OF AN ALGORITHM FOR MEAN-CURVATURE MOTION, Indiana University mathematics journal, 42(2), 1993, pp. 533-557
Citations number
14
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Indiana University mathematics journal → ACNP
ISSN journal
00222518
Volume
42
Issue
2
Year of publication
1993
Pages
533 - 557
Database
ISI
SICI code
0022-2518(1993)42:2<533:COAAFM>2.0.ZU;2-A
Abstract
Bence, Merriman and Osher [BMO] have proposed a new numerical algorith m for computing mean curvature flow, in terms of solutions of the usua l heat equation, continually reinitialized after short time steps. Thi s paper employs nonlinear semigroup theory to reconcile their algorith m with the ''level-set'' approach to mean curvature flow of Osher-Seth ian [OS], Evans-Spruck [ES], and Chen-Giga-Goto [CGG].