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- W2361534037 abstract "In this paper we propose a new numerical method for solving the mean curvature flow of surfaces. Two-dimensional surface is usualy approximated by a triangular mesh. Widely used discretization of Laplace-Beltrami operator over triangulated surfaces is the so-called cotangent scheme [7,8]. In the cotangent scheme the unknowns are the vertices of the triangulation. The basic idea of our new approach is to include a representative point of each triangle (vertex of the dual mesh) in the scheme as a supplementary unknown and generalize the discrete duality finite volume method [3] from~$R^2$ to 2D~surfacesembedded in~$R^3$. We derive the numerical scheme and present numerical experiments illustrating the basic properties of the meth od." @default.
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- W2361534037 date "2016-02-28" @default.
- W2361534037 modified "2023-10-14" @default.
- W2361534037 title "Discrete duality finite volume method for mean curvature flow of surfaces" @default.
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