An energy-stable second-order finite element method for the Swift-Hohenberg equation
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Publication:2685259
DOI10.1007/s40314-022-02144-2OpenAlexW4311157115MaRDI QIDQ2685259
Publication date: 20 February 2023
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40314-022-02144-2
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) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)
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Cites Work
- Energy stable and efficient finite-difference nonlinear multigrid schemes for the modified phase field crystal equation
- Stable and efficient finite-difference nonlinear-multigrid schemes for the phase field crystal equation
- An efficient algorithm for solving the phase field crystal model
- A direct meshless local collocation method for solving stochastic Cahn-Hilliard-Cook and stochastic Swift-Hohenberg equations
- The meshless local collocation method for solving multi-dimensional Cahn-Hilliard, Swift-Hohenberg and phase field crystal equations
- A semi-analytical Fourier spectral method for the Swift-Hohenberg equation
- Linearly first- and second-order, unconditionally energy stable schemes for the phase field crystal model
- A new space-time discretization for the Swift-Hohenberg equation that strictly respects the Lyapunov functional
- An energy stable method for the Swift-Hohenberg equation with quadratic-cubic nonlinearity
- A second order energy stable BDF numerical scheme for the Swift-Hohenberg equation
- Error estimate of a stabilized second-order linear predictor-corrector scheme for the Swift-Hohenberg equation
- Error estimates for the scalar auxiliary variable (SAV) schemes to the modified phase field crystal equation
- Error analysis of first- and second-order linear, unconditionally energy-stable schemes for the Swift-Hohenberg equation
- Unconditionally energy stable \(C^0\)-virtual element scheme for solving generalized Swift-Hohenberg equation
- An unconditionally energy-stable linear Crank-Nicolson scheme for the Swift-Hohenberg equation
- Stability and error estimate of the operator splitting method for the phase field crystal equation
- A new conservative Swift-Hohenberg equation and its mass conservative method
- An efficient and stable compact fourth-order finite difference scheme for the phase field crystal equation
- Convergence Analysis of a Second Order Convex Splitting Scheme for the Modified Phase Field Crystal Equation
- Analysis of a Mixed Finite Element Method for a Cahn--Hilliard--Darcy--Stokes System
- An Energy Stable and Convergent Finite-Difference Scheme for the Modified Phase Field Crystal Equation
- An Energy-Stable and Convergent Finite-Difference Scheme for the Phase Field Crystal Equation
- On a Large Time-Stepping Method for the Swift-Hohenberg Equation
- An Energy Stable BDF2 Fourier Pseudo-Spectral Numerical Scheme for the Square Phase Field Crystal Equation
- A simple and efficient scheme for phase field crystal simulation