Elliott, Charles M. and Stinner, Björn. (2012) Computation of two-phase biomembranes with phase dependent material parameters using surface finite elements. Communications in Computational Physics, Vol.13 (No.2). pp. 325-360. ISSN 18152406 (In Press)

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Abstract

The shapes of vesicles formed by lipid bilayers with phase separation are governed by a bending energy with phase dependent material parameters together with a line energy associated with the phase interfaces. We present a numerical method to approximate solutions to the Euler-Lagrange equations featuring triangulated surfaces, isoparametric quadratic surface finite elements and the phase field approach for the phase separation. Furthermore, the method involves an iterative solution scheme that is based on a relaxation dynamics coupling a geometric evolution equation for the membrane surface with a surface Allen-Cahn equation. Remeshing and grid adaptivity are discussed, and in various simulations the influence of several physical parameters is investigated.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science > Mathematics
Journal or Publication Title:	Communications in Computational Physics
Publisher:	Global Science Press
ISSN:	18152406
Date:	2012
Volume:	Vol.13
Number:	No.2
Number of Pages:	36
Page Range:	pp. 325-360
Identification Number:	10.4208/cicp.170611.130112a
Status:	Peer Reviewed
Publication Status:	In Press
Access rights to Published version:	Restricted or Subscription Access
Description:	Available online - to be printed 2013
URI:	http://wrap.warwick.ac.uk/id/eprint/48822

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