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Finite element approximation of a sharp interface approach for gradient flow dynamics of two-phase biomembranes

Barrett, John W., Garcke, Harald and Nürnberg, Robert (2017) Finite element approximation of a sharp interface approach for gradient flow dynamics of two-phase biomembranes. Preprintreihe der Fakultät Mathematik 6/2017, Working Paper. (Submitted)

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Date of publication of this fulltext: 17 Oct 2017 06:56

Abstract

A finite element method for the evolution of a two-phase membrane in a sharp interface formulation is introduced. The evolution equations are given as an L2–gradient flow of an energy involving an elastic bending energy and a line energy. In the two phases Helfrich-type evolution equations are prescribed, and on the interface, an evolving curve on an evolving surface, highly nonlinear boundary ...

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Item type:Monograph (Working Paper)
Series of the University of Regensburg:Preprintreihe der Fakultät Mathematik
Date:2017
Institutions:Mathematics > Prof. Dr. Harald Garcke
Classification:
NotationType
35R01MSC
49Q10MSC
65M12MSC
65M60MSC
82B26MSC
92C10MSC
Keywords:parametric finite elements, Helfrich energy, spontaneous curvature, multi-phase membrane, line energy, C0– and C1–matching conditions
Dewey Decimal Classification:500 Science > 510 Mathematics
Status:Submitted
Refereed:No, this version has not been refereed yet (as with preprints)
Created at the University of Regensburg:Yes
Item ID:36246
Owner only: item control page

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