Fully-discrete spectral-Galerkin numerical scheme with second-order time accuracy and unconditional energy stability for the anisotropic Cahn-Hilliard model
DOI10.1016/j.cam.2022.114594zbMath1502.65137OpenAlexW4286639700MaRDI QIDQ2088776
Xilin Min, Xiao-Feng Yang, Jun Zhang
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.2022.114594
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Crystalline structure (74E15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) 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) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) PDEs in connection with mechanics of deformable solids (35Q74)
Cites Work
- Numerical approximations of Allen-Cahn and Cahn-Hilliard equations
- A two phase field model for tracking vesicle-vesicle adhesion
- Efficient energy stable schemes for isotropic and strongly anisotropic Cahn-Hilliard systems with the Willmore regularization
- Stability and convergence analysis of fully discrete Fourier collocation spectral method for 3-D viscous Burgers' equation
- Efficient linear, stabilized, second-order time marching schemes for an anisotropic phase field dendritic crystal growth model
- A novel fully-decoupled, second-order and energy stable numerical scheme of the conserved Allen-Cahn type flow-coupled binary surfactant model
- A novel decoupled second-order time marching scheme for the two-phase incompressible Navier-Stokes/Darcy coupled nonlocal Allen-Cahn model
- Numerical approximations of the Navier-Stokes equation coupled with volume-conserved multi-phase-field vesicles system: fully-decoupled, linear, unconditionally energy stable and second-order time-accurate numerical scheme
- A second order accurate scalar auxiliary variable (SAV) numerical method for the square phase field crystal equation
- A fully-discrete decoupled finite element method for the conserved Allen-Cahn type phase-field model of three-phase fluid flow system
- A novel fully-decoupled, second-order time-accurate, unconditionally energy stable scheme for a flow-coupled volume-conserved phase-field elastic bending energy model
- A fully decoupled linearized finite element method with second-order temporal accuracy and unconditional energy stability for incompressible MHD equations
- Fast, provably unconditionally energy stable, and second-order accurate algorithms for the anisotropic Cahn-Hilliard model
- A weakly nonlinear, energy stable scheme for the strongly anisotropic Cahn-Hilliard equation and its convergence analysis
- Efficient linear schemes with unconditional energy stability for the phase field elastic bending energy model
- Efficient and stable exponential time differencing Runge-Kutta methods for phase field elastic bending energy models
- A second-order, weakly energy-stable pseudo-spectral scheme for the Cahn-Hilliard equation and its solution by the homogeneous linear iteration method
- Solving the regularized, strongly anisotropic Cahn-Hilliard equation by an adaptive nonlinear multigrid method
- Long Time Stability of a Classical Efficient Scheme for Two-dimensional Navier–Stokes Equations
- A phase field formulation of the Willmore problem
- A new phase-field model for strongly anisotropic systems
- Efficient Spectral-Galerkin Method I. Direct Solvers of Second- and Fourth-Order Equations Using Legendre Polynomials
- Efficient Energy Stable Schemes with Spectral Discretization in Space for Anisotropic Cahn-Hilliard Systems
- The IEQ and SAV approaches and their extensions for a class of highly nonlinear gradient flow systems
- Fully-discrete finite element numerical scheme with decoupling structure and energy stability for the Cahn–Hilliard phase-field model of two-phase incompressible flow system with variable density and viscosity
- An Energy Stable BDF2 Fourier Pseudo-Spectral Numerical Scheme for the Square Phase Field Crystal Equation
- On the stable discretization of strongly anisotropic phase field models with applications to crystal growth
- Efficient and linear schemes for anisotropic Cahn-Hilliard model using the stabilized-invariant energy quadratization (S-IEQ) approach
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