Finite element scheme for the viscous Cahn-Hilliard equation with a nonconstant gradient energy coefficient

DOI10.1007/BF02935813zbMath1083.65091OpenAlexW2161386922MaRDI QIDQ2574352

Yanyan Li

Publication date: 21 November 2005

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02935813

zbMATH Keywords

stabilityconvergencemass conservationconsistencyCahn-Hilliard equationenergy dissipationCrank-Nicolson-like finite element scheme

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) 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)

Related Items (5)

A B-spline finite element method for nonlinear differential equations describing crystal surface growth with variable coefficient ⋮ A family of structure-preserving exponential time differencing Runge-Kutta schemes for the viscous Cahn-Hilliard equation ⋮ Finite element analysis of a nonlinear parabolic equation modeling epitaxial thin-film growth ⋮ A B-spline finite element method for solving a class of nonlinear parabolic equations modeling epitaxial thin-film growth with variable coefficient ⋮ FINITE ELEMENT METHOD FOR A NONLINEAR DIFFERENTIAL EQUATION DESCRIBING CRYSTAL SURFACE GROWTH

Cites Work

• On the Cahn-Hilliard equation
• A conservative nonlinear difference scheme for the viscous Cahn-Hilliard equation
• A conservative difference scheme for the viscous Cahn--Hilliard equation with a nonconstant gradient energy coefficient
• Viscous Cahn-Hilliard equation. II: Analysis
• Finite difference schemes for \(\frac{\partial u}{\partial t}=(\frac{\partial}{\partial x})^\alpha\frac{\delta G}{\delta u}\) that inherit energy conservation or dissipation property
• Conservative nonlinear difference scheme for the Cahn-Hilliard equation. II
• Stability and Convergence in Numerical Analysis III: Linear Investigation of Nonlinear Stability
• Energy methods for the Cahn-Hilliard equation
• Free Energy of a Nonuniform System. I. Interfacial Free Energy
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