An adaptive meshfree method for phase-field models of biomembranes. Part I: Approximation with maximum-entropy basis functions

Article English OPEN
Rosolen, A.; Peco, C.; Arroyo, M.;
(2013)
  • Publisher: ACADEMIC PRESS INC ELSEVIER SCIENCE
  • Journal: Journal of Computational Physics (issn: 0021-9991)
  • Publisher copyright policies & self-archiving
  • Related identifiers: doi: 10.1016/j.jcp.2013.04.046
  • Subject: Meshfree methods | :Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics [Àrees temàtiques de la UPC] | :Matemàtiques i estadística::Matemàtica aplicada a les ciències [Àrees temàtiques de la UPC] | Adaptivity | Maximum-entropy approximants | Phase field models | Membranes (Biology) -- Mathematical models | Biomembranes | Vesicles | Membranes (Biologia)

We present an adaptive meshfree method to approximate phase-field models of biomembranes. In such models, the Helfrich curvature elastic energy, the surface area, and the enclosed volume of a vesicle are written as functionals of a continuous phase-field, which describe... View more