A simple benchmark problem for the numerical methods of the Cahn-Hilliard equation
DOI10.1155/2021/8889603zbMath1465.65077OpenAlexW3135423287MaRDI QIDQ2663037
Junseok Kim, Jian Wang, Sungha Yoon, Jintae Park, Yibao Li, Chaeyoung Lee
Publication date: 15 April 2021
Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2021/8889603
Reaction-diffusion equations (35K57) 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)
Related Items (2)
Cites Work
- Unconditionally stable methods for gradient flow using convex splitting Runge-Kutta scheme
- A second-order, uniquely solvable, energy stable BDF numerical scheme for the phase field crystal model
- A mass-conservative adaptive FAS multigrid solver for cell-centered finite difference methods on block-structured, locally-Cartesian grids
- Fourier spectral approximation to global attractor for 2D convective Cahn-Hilliard equation
- Basic principles and practical applications of the Cahn-Hilliard equation
- Numerical minimization of a second-order functional for image segmentation
- Time-fractional Allen-Cahn and Cahn-Hilliard phase-field models and their numerical investigation
- Energy-stable linear schemes for polymer-solvent phase field models
- High-performance implementation of a Runge-Kutta finite-difference scheme for the Higgs boson equation in the de Sitter spacetime
- A benchmark problem for the two- and three-dimensional Cahn-Hilliard equations
- Verification of convergence rates of numerical solutions for parabolic equations
- A numerical method for the Cahn-Hilliard equation with a variable mobility
- Convergence analysis for second-order accurate schemes for the periodic nonlocal Allen-Cahn and Cahn-Hilliard equations
- Phase-Field Models for Multi-Component Fluid Flows
- A Second-Order Convex Splitting Scheme for a Cahn-Hilliard Equation with Variable Interfacial Parameters
- High Accuracy Benchmark Problems for Allen-Cahn and Cahn-Hilliard Dynamics
- 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
- COMPARISON OF DIFFERENT NUMERICAL SCHEMES FOR THE CAHN-HILLIARD EQUATION
- Exact solutions of convective–diffusive <scp>Cahn–Hilliard</scp> equation using extended direct algebraic method
- An adaptive time‐stepping scheme for the numerical simulation of Cahn‐Hilliard equation with variable mobility
This page was built for publication: A simple benchmark problem for the numerical methods of the Cahn-Hilliard equation