Second-order energy-stable scheme and superconvergence for the finite difference method on non-uniform grids for the viscous Cahn-Hilliard equation
DOI10.1007/S10092-024-00579-ZzbMATH Open1542.65082MaRDI QIDQ6566105
Yujing Yan, Yanping Chen, Xuan Zhao, Xiaoli Li
Publication date: 3 July 2024
Published in: Calcolo (Search for Journal in Brave)
PDEs in connection with fluid mechanics (35Q35) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Finite difference methods for boundary value problems involving PDEs (65N06)
Cites Work
- Title not available (Why is that?)
- An unconditionally stable numerical method for the viscous Cahn-Hilliard equation
- Numerical approximations of Allen-Cahn and Cahn-Hilliard equations
- Efficient, adaptive energy stable schemes for the incompressible Cahn-Hilliard Navier-Stokes phase-field models
- Stable discretizations of the Cahn-Hilliard-Gurtin equations
- Linear, second order and unconditionally energy stable schemes for the viscous Cahn-Hilliard equation with hyperbolic relaxation using the invariant energy quadratization method
- Efficient and accurate numerical schemes for a hydro-dynamically coupled phase field diblock copolymer model
- 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
- Block-centered finite difference methods for parabolic equation with time-dependent coefficient
- Finite element scheme for the viscous Cahn-Hilliard equation with a nonconstant gradient energy coefficient
- Error estimates for the scalar auxiliary variable (SAV) schemes to the viscous Cahn-Hilliard equation with hyperbolic relaxation
- Spectral approximation of pattern-forming nonlinear evolution equations with double-well potentials of quadratic growth
- Stability and Convergence in Numerical Analysis III: Linear Investigation of Nonlinear Stability
- On Convergence of Block-Centered Finite Differences for Elliptic Problems
- HYPERBOLIC RELAXATION OF THE VISCOUS CAHN–HILLIARD EQUATION IN 3-D
- The viscous Cahn-Hilliard equation. I. Computations
- On fully decoupled MSAV schemes for the Cahn–Hilliard–Navier–Stokes model of two-phase incompressible flows
- A Second-Order Energy Stable BDF Numerical Scheme for the Viscous Cahn-Hilliard Equation with Logarithmic Flory-Huggins Potential
- A Second-Order Energy Stable BDF Numerical Scheme for the Cahn-Hilliard Equation
- Efficient Time-Stepping/Spectral Methods for the Navier-Stokes-Nernst-Planck-Poisson Equations
- Analysis of the operator splitting scheme for the Cahn‐Hilliard equation with a viscosity term
- Free Energy of a Nonuniform System. I. Interfacial Free Energy
- A numerical scheme for the solution of viscous Cahn–Hilliard equation
- A Third Order Accurate in Time, BDF-Type Energy Stable Scheme for the Cahn-Hilliard Equation
- Energy stability and convergence of the scalar auxiliary variable Fourier‐spectral method for the viscous Cahn–Hilliard equation
- A family of structure-preserving exponential time differencing Runge-Kutta schemes for the viscous Cahn-Hilliard equation
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