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

URN to cite this document:: urn:nbn:de:bvb:355-epub-525280
DOI to cite this document:: 10.5283/epub.52528

Elliott, Charles M. ; Garcke, Harald ; Kovács, Balázs

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Date of publication of this fulltext: 01 Jul 2022 06:27

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Abstract

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 ...