Robust and stable schemes for time fractional molecular beam epitaxial growth model using SAV approach
From MaRDI portal
Publication:2133058
DOI10.1016/j.jcp.2021.110628OpenAlexW3188894086MaRDI QIDQ2133058
Publication date: 29 April 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2021.110628
unconditional stabilityspectral methodtime-stepping schemetime fractional molecular beam epitaxial growth
Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Partial differential equations of mathematical physics and other areas of application (35Qxx) Miscellaneous topics in partial differential equations (35Rxx)
Related Items (14)
Energy stable L2 schemes for time-fractional phase-field equations ⋮ Energy Stable and Mass Conservative Numerical Method for Gas Flow in Porous Media with Rock Compressibility ⋮ A generalized SAV approach with relaxation for dissipative systems ⋮ A linear adaptive second‐order backward differentiation formulation scheme for the phase field crystal equation ⋮ The exponential SAV approach for the time-fractional Allen-Cahn and Cahn-Hilliard phase-field models ⋮ An implicit-explicit second-order BDF numerical scheme with variable steps for gradient flows ⋮ A novel relaxed scalar auxiliary variable approach for gradient flows ⋮ An efficient and robust Lagrange multiplier approach with a penalty term for phase-field models ⋮ A Decreasing Upper Bound of the Energy for Time-Fractional Phase-Field Equations ⋮ Long time \(H^1\)-stability of fast \(\mathrm{L}2\)-\(1_\sigma\) method on general nonuniform meshes for subdiffusion equations ⋮ A Unified Design of Energy Stable Schemes with Variable Steps for Fractional Gradient Flows and Nonlinear Integro-differential Equations ⋮ Fast High Order and Energy Dissipative Schemes with Variable Time Steps for Time-Fractional Molecular Beam Epitaxial Growth Model ⋮ A second order energy dissipative scheme for time fractional \(L^2\) gradient flows using SAV approach ⋮ An efficient bound-preserving and energy stable algorithm for compressible gas flow in porous media
Cites Work
- A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications
- Second order convex splitting schemes for periodic nonlocal Cahn-Hilliard and Allen-Cahn equations
- A linear iteration algorithm for a second-order energy stable scheme for a thin film model without slope selection
- A space-time fractional phase-field model with tunable sharpness and decay behavior and its efficient numerical simulation
- Unconditionally stable schemes for equations of thin film epitaxy
- Stabilized linear semi-implicit schemes for the nonlocal Cahn-Hilliard equation
- Well-posedness of the Cahn-Hilliard equation with fractional free energy and its Fourier Galerkin approximation
- Numerical approximations for the molecular beam epitaxial growth model based on the invariant energy quadratization method
- The scalar auxiliary variable (SAV) approach for gradient flows
- Island dynamics and the level set method for epitaxial growth
- Time-fractional Allen-Cahn and Cahn-Hilliard phase-field models and their numerical investigation
- On power law scaling dynamics for time-fractional phase field models during coarsening
- A family of second-order energy-stable schemes for Cahn-Hilliard type equations
- Time-fractional Allen-Cahn equations: analysis and numerical methods
- A variant of scalar auxiliary variable approaches for gradient flows
- Highly efficient schemes for time-fractional Allen-Cahn equation using extended SAV approach
- Approximation by exponential sums revisited
- Finite difference/spectral approximations for the time-fractional diffusion equation
- A fractional phase-field model for two-phase flows with tunable sharpness: algorithms and simulations
- Fractional Cahn-Hilliard, Allen-Cahn and porous medium equations
- An accurate and efficient algorithm for the time-fractional molecular beam epitaxy model with slope selection
- Error Analysis of a High Order Method for Time-Fractional Diffusion Equations
- Second-order Convex Splitting Schemes for Gradient Flows with Ehrlich–Schwoebel Type Energy: Application to Thin Film Epitaxy
- An Adaptive Time-Stepping Strategy for the Molecular Beam Epitaxy Models
- A second‐order energy stable backward differentiation formula method for the epitaxial thin film equation with slope selection
- Energy stability and error estimates of exponential time differencing schemes for the epitaxial growth model without slope selection
- Thin film epitaxy with or without slope selection
- Analysis and Approximation of a Fractional Cahn--Hilliard Equation
- Fast Evaluation of the Caputo Fractional Derivative and its Applications to Fractional Diffusion Equations
- Fast Evaluation of the Caputo Fractional Derivative and its Applications to Fractional Diffusion Equations: A Second-Order Scheme
- A Fast High Order Method for the Time-Fractional Diffusion Equation
- On Energy Dissipation Theory and Numerical Stability for Time-Fractional Phase-Field Equations
- A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows
- Stability and convergence of second-order schemes for the nonlinear epitaxial growth model without slope selection
- Stability Analysis of Large Time‐Stepping Methods for Epitaxial Growth Models
- Adaptive Second-Order Crank--Nicolson Time-Stepping Schemes for Time-Fractional Molecular Beam Epitaxial Growth Models
This page was built for publication: Robust and stable schemes for time fractional molecular beam epitaxial growth model using SAV approach
