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math.NA2016★ 33 cited
Finite Element Approximation for the Dynamics of Fluidic Two-Phase Biomembranes
John W. Barrett, Harald Garcke, Robert Nürnberg
Biomembranes and vesicles consisting of multiple phases can attain a multitude of shapes, undergoing complex shape transitions. We study a Cahn--Hilliard model on an evolving hyper…
math.NA2016
Numerical Analysis for a System Coupling Curve Evolution to Reaction-Diffusion on the Curve
John W. Barrett, Klaus Deckelnick, Vanessa Styles
We consider a finite element approximation for a system consisting of the evolution of a closed planar curve by forced curve shortening flow coupled to a reaction-diffusion equatio…