Energy stable and large time-stepping methods for the Cahn–Hilliard equation

DOI10.1080/00207160.2014.964694zbMath1328.65225OpenAlexW2095198133MaRDI QIDQ3451420

Huailing Song

Publication date: 16 November 2015

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2014.964694

zbMATH Keywords

Cahn-Hilliard equationdifference schemephase separationnumerical experimentenergy stabilitylarge time-stepping methodthird-order implicit-explicit Runge-Kutta scheme

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (9)

Analysis of multilevel finite volume approximation of 2D convective Cahn-Hilliard equation ⋮ Stabilized finite element methods based on multiscale enrichment for Allen-Cahn and Cahn-Hilliard equations ⋮ A compact fourth-order finite difference scheme for the three-dimensional Cahn-Hilliard equation ⋮ Computationally efficient adaptive time step method for the Cahn-Hilliard equation ⋮ Convex splitting Runge-Kutta methods for phase-field models ⋮ Unconditional energy stability analysis of a second order implicit-explicit local discontinuous Galerkin method for the Cahn-Hilliard equation ⋮ An adaptive time‐stepping scheme for the numerical simulation of Cahn‐Hilliard equation with variable mobility ⋮ A reduced order method for Allen-Cahn equations ⋮ An energy stable fourth order finite difference scheme for the Cahn-Hilliard equation

Cites Work

• Partitioned and implicit-explicit general linear methods for ordinary differential equations
• On large time-stepping methods for the Cahn-Hilliard equation
• Applications of semi-implicit Fourier-spectral method to phase field equations
• Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations
• Conservative nonlinear difference scheme for the Cahn-Hilliard equation. II
• Extrapolation-based implicit-explicit general linear methods
• Extrapolated Implicit-Explicit Time Stepping
• An Adaptive Time-Stepping Strategy for the Molecular Beam Epitaxy Models
• Numerical Analysis of a Continuum Model of Phase Transition
• A Nonconforming Finite-Element Method for the Two-Dimensional Cahn–Hilliard Equation
• Implicit-Explicit Methods for Time-Dependent Partial Differential Equations
• A compact fourth‐order finite difference scheme for the steady incompressible Navier‐Stokes equations
• Stability Analysis of Large Time‐Stepping Methods for Epitaxial Growth Models
• A compact fourth-order finite difference scheme for unsteady viscous incompressible flows.

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