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

DOI10.1002/num.22921arXiv2202.06775OpenAlexW4221141387WikidataQ115397149 ScholiaQ115397149MaRDI QIDQ6090444

Harald Garcke, Quan Zhao, Weizhu Bao, Robert Nürnberg

Publication date: 16 December 2023

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.06775

zbMATH Keywords

unconditional stabilitysurface diffusionanisotropyvolume conservationtriple junctionscurve networkssurface clusters

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Variational problems in a geometric measure-theoretic setting (49Q20) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Optimization of shapes other than minimal surfaces (49Q10)

Related Items (2)

Parametric finite element approximations for anisotropic surface diffusion with axisymmetric geometry ⋮ A diffuse-interface approach for solid-state dewetting with anisotropic surface energies

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