A convergent SAV scheme for Cahn–Hilliard equations with dynamic boundary conditions

DOI10.1093/IMANUM/DRAC078arXiv2203.12326MaRDI QIDQ6190839

Stefan Metzger

Publication date: 6 February 2024

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

Full work available at URL: https://arxiv.org/abs/2203.12326

zbMATH Keywords

convergencefinite elementsdynamic boundary conditionsCahn-Hilliardscalar auxiliary variable

Mathematics Subject Classification ID

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) A priori estimates in context of PDEs (35B45) Interfacial stability and instability in hydrodynamic stability (76E17) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Other free boundary flows; Hele-Shaw flows (76D27) Moving boundary problems for PDEs (35R37) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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