Computation of two-phase biomembranes with phase dependent material parameters using surface finite elements
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. ISSN 1815-2406Full text not available from this repository.
Official URL: http://dx.doi.org/10.4208/cicp.170611.130112a
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|
|Number of Pages:||36|
|Page Range:||pp. 325-360|
|Access rights to Published version:||Restricted or Subscription Access|
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