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• W2000693148 abstract "In this paper we propose a numerical method for computing minimal surfaces with fixed boundaries. The level set method is used to evolve a codimension-1 surface with fixed codimension-2 boundary in Rn under mean curvature flow. For n = 3 the problem has been approached in D.L. Chopp, 1993 and L.-T. Cheng [D.L. Chopp, Computing minimal surfaces via level set curvature flow, J. Comput. Phys. 106(1) (1993) 77–91 and L.-T. Cheng, The level set method applied to geometrically based motion, materials science, and image processing, UCLA CAM Report, 00-20] using the level set method, but with a more complicated boundary conditions. The method we present can be generalized straightforward to arbitrary dimension, and the framework in which it is presented is dimension independent. Examples are shown for n = 2, 3, 4." @default.
• W2000693148 created "2016-06-24" @default.
• W2000693148 creator A5036866128 @default.
• W2000693148 date "2005-07-01" @default.
• W2000693148 modified "2023-10-17" @default.
• W2000693148 title "A numerical method for computing minimal surfaces in arbitrary dimension" @default.
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• W2000693148 doi "https://doi.org/10.1016/j.jcp.2004.12.022" @default.
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