Method of the distance function to the Bence-Merriman-Osher algorithm for motion by mean curvature
Y. Goto - NTT Comware, Minato, Tokyo, 108-8019, Japan (email)
Abstract: A new proof of the convergence of the Bence-Merriman-Osher algorithm for the motion of mean curvature is given. The idea is making use of the approximate distance function to the interface and analogous argument in the singular limiting problem for the Allen-Cahn equation via an auxiliary function given by the primitive function of the heat kernel.
Keywords: Motionby mean curvature, Bence-Merrina-Osher algorithm, signed distance function, viscosity solutions.
Received: March 2003; Revised: May 2004; Published: March 2005.
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