Computational parametric Willmore flow with spontaneous curvature and area difference elasticity effects

URN to cite this document:: urn:nbn:de:bvb:355-epub-331309
DOI to cite this document:: 10.5283/epub.33130

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

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Date of publication of this fulltext: 11 Jan 2016 13:48

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Item type:	Monograph (Working Paper)
Series of the University of Regensburg:	Preprintreihe der Fakultät Mathematik
Volume:	14/2015
Date:	2015
Institutions:	Mathematics > Prof. Dr. Harald Garcke
Keywords:	Willmore flow, Helfrich flow, parametric finite elements, stability, tangential movement, spontaneous curvature, ADE model
Dewey Decimal Classification:	500 Science > 510 Mathematics
Status:	Unknown
Refereed:	No, this version has not been refereed yet (as with preprints)
Created at the University of Regensburg:	Yes
Item ID:	33130

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Abstract

A new stable continuous-in-time semi-discrete parametric finite element method for Willmore flow is introduced. The approach allows for spontaneous curvature and area difference elasticity (ADE) 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 ...

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