An energy-stable parametric finite element method for simulating solid-state dewetting

DOI10.1093/imanum/draa070OpenAlexW3092046729MaRDI QIDQ5077051

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Publication date: 17 May 2022

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.01677

zbMATH Keywords

variational formulationsurface diffusioncontact line migrationsolid-state dewettingmanifold distanceenergy-stable parametric finite element method

Mathematics Subject Classification ID

Thin fluid films (76A20) Finite difference methods applied to problems in fluid mechanics (76M20) Variational methods applied to problems in fluid mechanics (76M30) 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) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) PDEs on manifolds (35R01)

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