A sharp-interface model and its numerical approximation for solid-state dewetting with axisymmetric geometry
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Publication:2315836
DOI10.1016/j.cam.2019.04.008zbMath1433.76019arXiv1711.02402OpenAlexW2963291970WikidataQ127970981 ScholiaQ127970981MaRDI QIDQ2315836
Publication date: 26 July 2019
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1711.02402
surface diffusion flowaxisymmetric geometrycontact line migrationsolid-state dewettingparametric finite element method (PFEM)thermodynamic variation
PDEs in connection with fluid mechanics (35Q35) Thin fluid films (76A20) Finite element methods applied to problems in fluid mechanics (76M10) PDEs in connection with classical thermodynamics and heat transfer (35Q79)
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Cites Work
- A parametric finite element method for fourth order geometric evolution equations
- A parametric finite element method for solid-state dewetting problems with anisotropic surface energies
- Sharp-interface approach for simulating solid-state dewetting in two dimensions: A Cahn-hoffman \(\boldsymbol{\xi}\)-vector formulation
- A tangent-plane marker-particle method for the computation of three-dimensional solid surfaces evolving by surface diffusion on a substrate
- Stable Equilibria of Anisotropic Particles on Substrates: A Generalized Winterbottom Construction
