Numerical solutions for the surface diffusion flow in three space dimensions
نویسنده
چکیده
The surface diffusion flow is a moving boundary problem that has a gradient flow structure, and this gradient flow structure suggests an implicit finite-differences approach to compute numerical solutions. The resulting numerical scheme allows to compute the flow for any smooth orientable immersed initial surface. We provide an analytical proof of this gradient structure, and construct a discretization of the Laplacian of a scalar function on a triangulated surface. Then we describe the resulting numerical scheme, and conclude with several numerical experiments.
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تاریخ انتشار 2001