A structure‐preserving finite element approximation of surface diffusion for curve networks and surface clusters

URN to cite this document:: urn:nbn:de:bvb:355-epub-532192
DOI to cite this document:: 10.5283/epub.53219

Bao, Weizhu ; Garcke, Harald

; Nürnberg, Robert ; Zhao, Quan

License: Creative Commons Attribution 4.0
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Date of publication of this fulltext: 28 Nov 2022 07:03

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Abstract

We consider the evolution of curve networks in two dimensions (2d) and surface clusters in three dimensions (3d). The motion of the interfaces is described by surface diffusion, with boundary conditions at the triple junction points lines, where three interfaces meet, and at the boundary points lines, where an interface meets a fixed planar boundary. We propose a parametric finite element method ...