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Numerical analysis for the interaction of mean curvature flow and diffusion on closed surfaces

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Elliott, Charles M. ; Garcke, Harald ; Kovács, Balázs
License: Creative Commons Attribution 4.0
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Date of publication of this fulltext: 01 Jul 2022 06:27

This publication is part of the DEAL contract with Springer.


An evolving surface finite element discretisation is analysed for the evolution of a closed two-dimensional surface governed by a system coupling a generalised forced mean curvature flow and a reaction-diffusion process on the surface, inspired by a gradient flow of a coupled energy. Two algorithms are proposed, both based on a system coupling the diffusion equation to evolution equations for ...


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