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Computational Parametric Willmore Flow with Spontaneous Curvature and Area Difference Elasticity Effects

Barrett, John W. ; Garcke, Harald ; Nürnberg, Robert



Abstract

A new stable continuous-in-time semidiscrete parametric finite element method for Willmore flow is introduced. The approach allows for spontaneous curvature and area difference elasticity effects, which are important for many applications, in particular, in the context of membranes. The method extends ideas from Dziuk and the present authors to obtain an approximation that allows for a tangential ...

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