Unconditionally strong energy stable scheme for Cahn–Hilliard equation with second‐order temporal accuracy
DOI10.1002/MMA.8917zbMath1530.65086OpenAlexW4313321682MaRDI QIDQ6140679
Publication date: 2 January 2024
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.8917
energy functionalsolvabilityCahn-Hilliard equationenergy stabilityconvex splitting methodeffective time-step analysis
Numerical methods for wavelets (65T60) 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)
Cites Work
- Unnamed Item
- An \(H^2\) convergence of a second-order convex-splitting, finite difference scheme for the three-dimensional Cahn-Hilliard equation
- Unconditionally stable methods for gradient flow using convex splitting Runge-Kutta scheme
- A Galilean invariant model of the lattice Boltzmann method for multiphase fluid flows using free-energy approach
- A second-order, uniquely solvable, energy stable BDF numerical scheme for the phase field crystal model
- First and second order numerical methods based on a new convex splitting for phase-field crystal equation
- Fourth-order spatial and second-order temporal accurate compact scheme for Cahn-Hilliard equation
- Mathematical model of contractile ring-driven cytokinesis in a three-dimensional domain
- A convective Cahn-Hilliard model for the formation of facets and corners in crystal growth
- Special issue: advanced numerical modeling and algorithms for multiphase flow and transport
- Energy stable compact scheme for Cahn-Hilliard equation with periodic boundary condition
- A numerical method for the Cahn-Hilliard equation with a variable mobility
- Phase-field simulations of crystal growth in a two-dimensional cavity flow
- On the long time simulation of the Rayleigh-Taylor instability
- On a SAV-MAC scheme for the Cahn–Hilliard–Navier–Stokes phase-field model and its error analysis for the corresponding Cahn–Hilliard–Stokes case
- Fully Discrete Finite Element Approximations of the Navier--Stokes--Cahn-Hilliard Diffuse Interface Model for Two-Phase Fluid Flows
- An Energy-Stable and Convergent Finite-Difference Scheme for the Phase Field Crystal Equation
- Cahn–Hilliard Inpainting and a Generalization for Grayvalue Images
- The Global Dynamics of Discrete Semilinear Parabolic Equations
- Numerical analysis of a model for phase separation of a multi-component alloy
- Diffuse Interface Models on Graphs for Classification of High Dimensional Data
- On a Cahn‐Hilliard model for image segmentation
- Effective Time Step Analysis of a Nonlinear Convex Splitting Scheme for the Cahn–Hilliard Equation
- Free Energy of a Nonuniform System. I. Interfacial Free Energy
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