@Article{CiCP-13-325,
author = {Charles M. Elliott and Björn Stinner},
title = {Computation of Two-Phase Biomembranes with Phase Dependent Material Parameters Using Surface Finite Elements},
journal = {Communications in Computational Physics},
year = {2013},
volume = {13},
number = {2},
pages = {325--360},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.170611.130112a},
url = {http://global-sci.org/intro/article_detail/cicp/7225.html}
}