The Library
Computation of two-phase biomembranes with phase dependent material parameters using surface finite elements
Tools
Elliott, Charles M. and Stinner, Björn (2013) 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. doi:10.4208/cicp.170611.130112a ISSN 1815-2406.
Research output not available from this repository.
Request-a-Copy directly from author or use local Library Get it For Me service.
Official URL: http://dx.doi.org/10.4208/cicp.170611.130112a
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, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Communications in Computational Physics | ||||
Publisher: | Global Science Press | ||||
ISSN: | 1815-2406 | ||||
Official Date: | 2013 | ||||
Dates: |
|
||||
Volume: | Vol.13 | ||||
Number: | No.2 | ||||
Number of Pages: | 36 | ||||
Page Range: | pp. 325-360 | ||||
DOI: | 10.4208/cicp.170611.130112a | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
Request changes or add full text files to a record
Repository staff actions (login required)
View Item |