Lawrence Evans, Convergence of an Algorithm for Mean Curvature Motion, Indiana Univ. Math. J. 42 (1993), 533-557
Abstract
Bence, Merriman and Osher [BMO] have proposed a new numerical algorithm for computing mean curvature flow, in terms of solutions of the usual heat equation, continually reinitialized after short time steps. This paper employs nonlinear semigroup theory to reconcile their algorithm with the “level-set“ approach to mean curvature flow of Osher–Sethian [OS], Evans–Spruck [ES], and Chen–Giga–Goto [CGG].
References
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