期刊
出版社
WILEY
DOI: 10.1002/cnm.3181
关键词
lateral phase separation; surface Allen-Chan equation; surface Cahn-Hilliard equation; trace finite element method
类别
资金
- National Science Foundation [DMR-1753328, DMS-1620384, DMS-1717516]
Conservative and non-conservative phase-field models are considered for the numerical simulation of lateral phase separation and coarsening in biological membranes. An unfitted finite element method is proposed to allow for a flexible treatment of complex shapes in the absence of an explicit surface parametrization. For a set of biologically relevant shapes and parameter values, the paper compares the dynamic coarsening produced by conservative and non-conservative numerical models, its dependence on certain geometric characteristics and convergence to the final equilibrium.
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