A structure-preserving finite element method for the multi-phase Mullins–Sekerka problem with triple junctions

URN to cite this document:: urn:nbn:de:bvb:355-epub-584670
DOI to cite this document:: 10.5283/epub.58467

Eto, Tokuhiro ; Garcke, Harald

; Nürnberg, Robert

License: Creative Commons Attribution 4.0
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Date of publication of this fulltext: 20 Jun 2024 06:21

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Abstract

We consider a sharp interface formulation for the multi-phase Mullins–Sekerka flow. The flow is characterized by a network of curves evolving such that the total surface energy of the curves is reduced, while the areas of the enclosed phases are conserved. Making use of a variational formulation, we introduce a fully discrete finite element method. Our discretization features a parametric ...