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

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Barrett, John W. ; Garcke, Harald ; Nürnberg, Robert
Date of publication of this fulltext: 17 Oct 2017 06:56


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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