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

Barrett, John W., Garcke, Harald and Nürnberg, Robert (2016) Stable variational approximations of boundary value problems for Willmore flow with Gaussian curvature. Preprintreihe der Fakultät Mathematik 1/2016, Working Paper. (Submitted)

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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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Item type:Monograph (Working Paper)
Series of the University of Regensburg:Preprintreihe der Fakultät Mathematik
Date:2016
Institutions:Mathematics > Prof. Dr. Harald Garcke
Classification:
NotationType
65M60MSC
65M12MSC
35K55MSC
53C44MSC
Keywords:Willmore flow, parametric finite elements, tangential movement, spontaneous curvature, clamped boundary conditions, Navier boundary conditions, Gaussian curvature energy, line energy
Dewey Decimal Classification:500 Science > 510 Mathematics
Status:Submitted
Refereed:No, this version has not been refereed yet (as with preprints)
Created at the University of Regensburg:Yes
Item ID:33896
Owner only: item control page

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