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An unconditionally stable finite element scheme for anisotropic curve shortening flow (2209.06565v2)
Published 14 Sep 2022 in math.NA and cs.NA
Abstract: Based on a recent novel formulation of parametric anisotropic curve shortening flow, we analyse a fully discrete numerical method of this geometric evolution equation. The method uses piecewise linear finite elements in space and a backward Euler approximation in time. We establish existence and uniqueness of a discrete solution, as well as an unconditional stability property. Some numerical computations confirm the theoretical results and demonstrate the practicality of our method.