An unconditionally stable scheme for the Allen-Cahn equation with high-order polynomial free energy
DOI10.1016/j.cnsns.2020.105658zbMath1459.65147OpenAlexW3112561457MaRDI QIDQ2219595
Hyundong Kim, Sungha Yoon, Dongsun Lee, Junxiang Yang, Chaeyoung Lee, Sangkwon Kim, Jian Wang, Soobin Kwak, Jinate Park, Junseok Kim
Publication date: 20 January 2021
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2020.105658
PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical interpolation (65D05) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)
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Cites Work
- On the maximum principle preserving schemes for the generalized Allen-Cahn equation
- An unconditionally stable hybrid numerical method for solving the Allen-Cahn equation
- Energy stable numerical schemes for ternary Cahn-Hilliard system
- A conservative Allen-Cahn equation with a space-time dependent Lagrange multiplier
- A semi-analytical Fourier spectral method for the Swift-Hohenberg equation
- Geometrical image segmentation by the Allen-Cahn equation
- A new second-order maximum-principle preserving finite difference scheme for Allen-Cahn equations with periodic boundary conditions
- Novel mass-conserving Allen-Cahn equation for the boundedness of an order parameter
- Pinning boundary conditions for phase-field models
- Adaptive linear second-order energy stable schemes for time-fractional Allen-Cahn equation with volume constraint
- A robust and contact preserving flux splitting scheme for compressible flows
- An energy stable fourth order finite difference scheme for the Cahn-Hilliard equation
- The tanh-coth method for solitons and kink solutions for nonlinear parabolic equations
- A second-order, weakly energy-stable pseudo-spectral scheme for the Cahn-Hilliard equation and its solution by the homogeneous linear iteration method
- An unconditionally energy stable second order finite element method for solving the Allen-Cahn equation
- Operator splitting for the KdV equation
- Analysis of symmetric interior penalty discontinuous Galerkin methods for the Allen–Cahn equation and the mean curvature flow
- Fast explicit operator splitting method for convection–diffusion equations
- Mean curvature flow by the Allen–Cahn equation
- Efficient numerical scheme for solving the Allen‐Cahn equation
- Effect of Space Dimensions on Equilibrium Solutions of Cahn--Hilliard and Conservative Allen--Cahn Equations
- Numerical Approximations for Allen-Cahn Type Phase Field Model of Two-Phase Incompressible Fluids with Moving Contact Lines
- A Second-Order Energy Stable BDF Numerical Scheme for the Cahn-Hilliard Equation
- Maximum norm error analysis of an unconditionally stable semi‐implicit scheme for multi‐dimensional Allen–Cahn equations
- Numerical approximations for a phase field dendritic crystal growth model based on the invariant energy quadratization approach
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