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Highlights • Finite Element methodology tailored for the simulation of isolated biomembranes and capillary interfaces in a surrounding Newtonian fluid. • A fully implicit time integration scheme allows to overcome the stability issues related to the explicit discretization of the highly non-linear bending force (Canham–Helfrich–Evans model). • Inexact Newton strategies are developed to solve the capillary and vesicle problems and feature a second-order convergence behaviour. • Significantly larger time step sizes with respect to the explicit method are allowed.

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This page is a summary of: Fully implicit methodology for the dynamics of biomembranes and capillary interfaces by combining the level set and Newton methods, Journal of Computational Physics, August 2017, Elsevier,
DOI: 10.1016/j.jcp.2017.04.019.
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