High order, semi-implicit, energy stable schemes for gradient flows
From MaRDI portal
Publication:2133500
DOI10.1016/j.jcp.2021.110688OpenAlexW3200525534MaRDI QIDQ2133500
Krishna Garikipati, Selim Esedoḡlu, Alexander Zaitzeff
Publication date: 29 April 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.13572
Numerical methods for ordinary differential equations (65Lxx) 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)
Related Items (1)
Cites Work
- An \(H^2\) convergence of a second-order convex-splitting, finite difference scheme for the three-dimensional Cahn-Hilliard equation
- Second order convex splitting schemes for periodic nonlocal Cahn-Hilliard and Allen-Cahn equations
- A second order in time, uniquely solvable, unconditionally stable numerical scheme for Cahn-Hilliard-Navier-Stokes equation
- A convergent convex splitting scheme for the periodic nonlocal Cahn-Hilliard equation
- Implicit-explicit Runge-Kutta schemes and applications to hyperbolic systems with relaxation
- Unconditionally stable methods for gradient flow using convex splitting Runge-Kutta scheme
- Numerical approximations of Allen-Cahn and Cahn-Hilliard equations
- Second order threshold dynamics schemes for two phase motion by mean curvature
- Energy stable higher-order linear ETD multi-step methods for gradient flows: application to thin film epitaxy
- Stable and efficient finite-difference nonlinear-multigrid schemes for the phase field crystal equation
- A second order splitting method for the Cahn-Hilliard equation
- Applications of semi-implicit Fourier-spectral method to phase field equations
- Additive Runge-Kutta schemes for convection-diffusion-reaction equations
- Numerical methods for porous medium equation by an energetic variational approach
- A third order exponential time differencing numerical scheme for no-slope-selection epitaxial thin film model with energy stability
- Improving the accuracy of convexity splitting methods for gradient flow equations
- Efficient and stable exponential time differencing Runge-Kutta methods for phase field elastic bending energy models
- Convex splitting Runge-Kutta methods for phase-field models
- Convergence Analysis of a Second Order Convex Splitting Scheme for the Modified Phase Field Crystal Equation
- Second-order Convex Splitting Schemes for Gradient Flows with Ehrlich–Schwoebel Type Energy: Application to Thin Film Epitaxy
- Adaptive, second-order in time, primitive-variable discontinuous Galerkin schemes for a Cahn–Hilliard equation with a mass source
- A Class Of Implicit-Explicit Two-Step Runge--Kutta Methods
- Variational particle schemes for the porous medium equation and for the system of isentropic Euler equations
- An Energy-Stable and Convergent Finite-Difference Scheme for the Phase Field Crystal Equation
- Numerical Analysis of a Continuum Model of Phase Transition
- The Variational Formulation of the Fokker--Planck Equation
- Robust Numerical Methods for Nonlocal (and Local) Equations of Porous Medium Type. Part II: Schemes and Experiments
- Energy stability and error estimates of exponential time differencing schemes for the epitaxial growth model without slope selection
- Variational Extrapolation of Implicit Schemes for General Gradient Flows
- Stability Analysis of Large Time‐Stepping Methods for Epitaxial Growth Models
This page was built for publication: High order, semi-implicit, energy stable schemes for gradient flows