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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 In: Biomembranes : Modelling and Computation, University of Warwick, Coventry, 11 May 2011 (Unpublished)
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Official URL: http://www2.warwick.ac.uk/fac/sci/maths/research/m...
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) | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Official Date: | 11 May 2011 | ||||
Dates: |
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Status: | Not Peer Reviewed | ||||
Publication Status: | Unpublished | ||||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 | ||||
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