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Surface finite elements for membranes with lateral phase separation

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Stinner, Björn (2011) Surface finite elements for membranes with lateral phase separation. In: Biomembranes : Modelling and Computation, University of Warwick, Coventry, 11 May 2011 (Unpublished)

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Abstract

We consider vesicles formed by lipid bilayers with intra-membrane phase interfaces. A gradient flow dynamics to compute equilibrium shapes has been defined coupling a geometric evolution law for the membrane hypersurface to a surface Allen-Cahn equation for the interfaces. The discretization is based on H1 conforming quadratic isoparametric surface finite elements and a semi-implicit time discretization. Issues are the sharp interface limit, grid regularity, adaptive mesh refinement, and the influence of various physical parameters.

Item Type: Conference Item (Paper)
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science > Mathematics
Date: 11 May 2011
Status: Not Peer Reviewed
Publication Status: Unpublished
Version or Related Resource: Stinner, Björn (2010). Surface finite elements for membranes with lateral phase separation. In: British Applied Mathematics Colloquium. Maxwell Institute, Edinburgh, 6-9 Apr 2010. Stinner, Björn (2010). Surface finite elements for membranes with phase separation. In: SIAM Conference on the Life Sciences. Pittsburgh, Pennsylvania, 12-15 Jul 2010. Stinner, Björn (2011). Surface finite elements for membranes with phase separation. In: ENUMATH Conference 2011. Leicester, 5-9 Sep 2011. Stinner, Björn (2011). On a surface finite element method for biomembranes with phase separation. In: Nonlinear Diffusion: Algorithms, Analysis and Applications. University of Warwick, Coventry, 6-8 Jun 2011.
Conference Paper Type: Paper
Title of Event: Biomembranes : Modelling and Computation
Type of Event: Workshop
Location of Event: University of Warwick, Coventry
Date(s) of Event: 11 May 2011
Related URLs:
URI: http://wrap.warwick.ac.uk/id/eprint/48692

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