An energy-stable parametric finite element method for anisotropic surface diffusion

DOI10.1016/j.jcp.2021.110658OpenAlexW3193836821MaRDI QIDQ2133543

Weizhu Bao, Yifei Li

Publication date: 29 April 2022

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.05610

zbMATH Keywords

anisotropic surface energyparametric finite element methodsolid-state dewettinganisotropic surface diffusionenergy-stable

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Parabolic equations and parabolic systems (35Kxx) Equilibrium (steady-state) problems in solid mechanics (74Gxx)

Related Items (9)

A Symmetrized Parametric Finite Element Method for Anisotropic Surface Diffusion of Closed Curves ⋮ Volume-preserving parametric finite element methods for axisymmetric geometric evolution equations ⋮ A symmetrized parametric finite element method for simulating solid-state dewetting problems ⋮ A structure‐preserving finite element approximation of surface diffusion for curve networks and surface clusters ⋮ A Symmetrized Parametric Finite Element Method for Anisotropic Surface Diffusion in Three Dimensions ⋮ Parametric finite element approximations for anisotropic surface diffusion with axisymmetric geometry ⋮ A structure-preserving parametric finite element method for area-conserved generalized curvature flow ⋮ A Structure-Preserving Parametric Finite Element Method for Surface Diffusion ⋮ An energy stable finite difference method for anisotropic surface diffusion on closed curves

Cites Work

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• A Parametric Finite Element Method for Solid-State Dewetting Problems in Three Dimensions

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