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• W2059870147 abstract "Motion by (weighted) mean curvature is a geometric evolution law for surfaces, representing steepest descent with respect to (an)isotropic surface energy. It has been proposed that this motion could be computed by solving the analogous evolution law using a crystalline approximation to the surface energy. We present the first convergence analysis for a numerical scheme of this type. Our treatment is restricted to one dimensional surfaces (curves in the plane) which are graphs. In this context, the scheme amounts to a new algorithm for solving quasilinear parabolic equations in one space dimension." @default.
• W2059870147 created "2016-06-24" @default.
• W2059870147 creator A5060672263 @default.
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• W2059870147 date "1994-02-01" @default.
• W2059870147 modified "2023-10-17" @default.
• W2059870147 title "Convergence of a crystalline algorithm for the heat equation in one dimension and for the motion of a graph by weighted curvature" @default.
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• W2059870147 doi "https://doi.org/10.1007/s002110050017" @default.
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