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Crystalline and level set flow – convergence of a crystalline algorithm for a general anisotropic curvature flow in the plane. (English) Zbl 0957.35122
Kenmochi, N. (ed.), Proceedings of the international conference on free boundary problems: theory and applications, Chiba, Japan, November 7-13, 1999. I. Tokyo: Gakkōtosho. GAKUTO Int. Ser., Math. Sci. Appl. 13, 64-79 (2000).
Summary: Recently, a level set formulation was extended by the authors to handle evolution of curves driven by singular interfacial energy including crystalline energy. In this paper as an application of this theory a general convergence result is established for a crystalline algorithm for a general anisotropic curvature flow.
For the entire collection see [Zbl 0941.00020].

MSC:
35Q72 Other PDE from mechanics (MSC2000)
74N20 Dynamics of phase boundaries in solids
74F05 Thermal effects in solid mechanics
37N15 Dynamical systems in solid mechanics
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