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2006

A numerical scheme for regularized anisotropic curve shortening flow

9 years 11 months ago
A numerical scheme for regularized anisotropic curve shortening flow
Realistic interfacial energy densities are often non-convex, which results in backward parabolic behavior of the corresponding anisotropic curve shortening flow, thereby inducing phenomena such as the formation of corners and facets. Adding a term that is quadratic in the curvature to the interfacial energy yields a regularized evolution equation for the interface, which is fourth-order parabolic. Using a semi-implicit time discretization, we present a variational formulation of this equation, which allows the use of linear finite elements. The resulting linear system is shown to be uniquely solvable. We also present numerical examples.
Frank Haußer, Axel Voigt
Added 10 Dec 2010
Updated 10 Dec 2010
Type Journal
Year 2006
Where APPML
Authors Frank Haußer, Axel Voigt
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