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Stable variational approximations of boundary value problems for Willmore flow with Gaussian curvature

URN to cite this document:
urn:nbn:de:bvb:355-epub-338961
DOI to cite this document:
10.5283/epub.33896
Barrett, John W. ; Garcke, Harald ; Nürnberg, Robert
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Date of publication of this fulltext: 21 Jun 2016 12:35


Abstract

We study numerical approximations for geometric evolution equations arising as gradient flows for energy functionals that are quadratic in the principal curvatures of a two-dimensional surface. Beside the well-known Willmore and Helfrich flows we will also consider flows involving the Gaussian curvature of the surface. Boundary conditions for these flows are highly nonlinear, and we use a ...

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