On efficient semi-implicit auxiliary variable methods for the six-order Swift-Hohenberg model
DOI10.1016/j.cam.2022.114730zbMath1496.65182OpenAlexW4294000657MaRDI QIDQ2088854
Publication date: 6 October 2022
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2022.114730
Nonlinear parabolic equations (35K55) Initial-boundary value problems for higher-order parabolic equations (35K35) Initial-boundary value problems for second-order parabolic equations (35K20) 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) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)
Related Items (2)
Cites Work
- Unnamed Item
- Numerical approximations of Allen-Cahn and Cahn-Hilliard equations
- Stable and efficient finite-difference nonlinear-multigrid schemes for the phase field crystal equation
- On large time-stepping methods for the Cahn-Hilliard equation
- Stabilized linear semi-implicit schemes for the nonlocal Cahn-Hilliard equation
- A semi-analytical Fourier spectral method for the Swift-Hohenberg equation
- Linear, first and second-order, unconditionally energy stable numerical schemes for the phase field model of homopolymer blends
- First and second order numerical methods based on a new convex splitting for phase-field crystal equation
- Linearly first- and second-order, unconditionally energy stable schemes for the phase field crystal model
- The scalar auxiliary variable (SAV) approach for gradient flows
- An energy stable method for the Swift-Hohenberg equation with quadratic-cubic nonlinearity
- Step-by-step solving schemes based on scalar auxiliary variable and invariant energy quadratization approaches for gradient flows
- Fast, provably unconditionally energy stable, and second-order accurate algorithms for the anisotropic Cahn-Hilliard model
- Optimal error estimates for the scalar auxiliary variable finite-element schemes for gradient flows
- Efficient modified stabilized invariant energy quadratization approaches for phase-field crystal equation
- Efficient numerical scheme for a dendritic solidification phase field model with melt convection
- Efficient modified techniques of invariant energy quadratization approach for gradient flows
- A Fourier spectral method for fractional-in-space Cahn-Hilliard equation
- A simple and efficient finite difference method for the phase-field crystal equation on curved surfaces
- An efficient and stable compact fourth-order finite difference scheme for the phase field crystal equation
- Unconditionally energy stable DG schemes for the Swift-Hohenberg equation
- Numerical approximations for a new \(L^2\)-gradient flow based phase field crystal model with precise nonlocal mass conservation
- Second-order Convex Splitting Schemes for Gradient Flows with Ehrlich–Schwoebel Type Energy: Application to Thin Film Epitaxy
- Convergence and Error Analysis for the Scalar Auxiliary Variable (SAV) Schemes to Gradient Flows
- The Exponential Scalar Auxiliary Variable (E-SAV) Approach for Phase Field Models and Its Explicit Computing
- Energy stability and convergence of SAV block-centered finite difference method for gradient flows
This page was built for publication: On efficient semi-implicit auxiliary variable methods for the six-order Swift-Hohenberg model