An efficient two-grid method for the Cahn-Hilliard equation with the concentration-dependent mobility and the logarithmic Flory-Huggins bulk potential

DOI10.1016/j.amc.2019.06.062zbMath1472.65121OpenAlexW2959266190WikidataQ127464058 ScholiaQ127464058MaRDI QIDQ2660077

Yanyan Li

Publication date: 29 March 2021

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

Full work available at URL: https://doi.org/10.1016/j.amc.2019.06.062

zbMATH Keywords

logarithmic potentialtwo-grid methodCahn-Hilliarddependent mobility

Mathematics Subject Classification ID

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) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Related Items (6)

Unconditional convergence analysis of stabilized FEM-SAV method for Cahn-Hilliard equation ⋮ A uniquely solvable, positivity-preserving and unconditionally energy stable numerical scheme for the functionalized Cahn-Hilliard equation with logarithmic potential ⋮ Recovery type a posteriori error estimation of an adaptive finite element method for Cahn-Hilliard equation ⋮ Unconditionally energy stable second-order numerical schemes for the functionalized Cahn-Hilliard gradient flow equation based on the SAV approach ⋮ Fast algorithm based on TT-M FE method for modified Cahn-Hilliard equation ⋮ A Second-Order Energy Stable BDF Numerical Scheme for the Viscous Cahn-Hilliard Equation with Logarithmic Flory-Huggins Potential

Cites Work

• Unnamed Item
• Postprocessing mixed finite element methods for solving Cahn-Hilliard equation: methods and error analysis
• The least squares spectral element method for the Cahn-Hilliard equation
• A phase field model for rate-independent crack propagation: robust algorithmic implementation based on operator splits
• Global asymptotic limit of solutions of the Cahn-Hilliard equation
• Conservative nonlinear difference scheme for the Cahn-Hilliard equation
• Numerical analysis of the Cahn-Hilliard equation with a logarithmic free energy
• Numerical computations of coarsening in the one-dimensional Cahn-Hilliard model of phase separation
• The Legendre collocation method for the Cahn--Hilliard equation
• Conservative nonlinear difference scheme for the Cahn-Hilliard equation. II
• Two-level methods for the Cahn-Hilliard equation
• A numerical method for the Cahn-Hilliard equation with a variable mobility
• Decoupled energy stable schemes for phase-field vesicle membrane model
• The Dynamics of Nucleation for the Cahn–Hilliard Equation
• Numerical Studies of the Cahn-Hilliard Equation for Phase Separation
• Finite element approximation of the Cahn-Hilliard equation with concentration dependent mobility
• Finite Element Approximation of the Cahn--Hilliard Equation with Degenerate Mobility
• On Linear and Unconditionally Energy Stable Algorithms for Variable Mobility Cahn-Hilliard Type Equation with Logarithmic Flory-Huggins Potential
• Free Energy of a Nonuniform System. I. Interfacial Free Energy
• An Efficient Two-Grid Scheme for the Cahn-Hilliard Equation
• A stable and conservative finite difference scheme for the Cahn-Hilliard equation

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