Novel energy stable schemes for Swift-Hohenberg model with quadratic-cubic nonlinearity based on the \(H^{-1}\)-gradient flow approach
type: Item
instance of: scholarly article
title: Novel energy stable schemes for Swift-Hohenberg model with quadratic-cubic nonlinearity based on the \(H^{-1}\)-gradient flow approach
zbMATH Open document ID: 1473.65113
author: Zhengguang Liu
published in: Numerical Algorithms
publication date: 2021-05-31T00:00:00Z
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65N06
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 35K20
Mathematics Subject Classification ID: 35K35
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 65Z05
Mathematics Subject Classification ID: 74N05
zbMATH DE Number: 7352574
zbMATH Keywords: Swift-Hohenberg model
zbMATH Keywords: invariant energy quadratization
zbMATH Keywords: scalar auxiliary variable
zbMATH Keywords: energy stability
zbMATH Keywords: numerical simulations
MaRDI profile type: Publication
full work available at URL: s11075-020-00981-y
OpenAlex ID: W3046140305
cites work: Q3621203
cites work: Efficient numerical scheme for a dendritic solidification phase field model with melt convection
cites work: Fast, provably unconditionally energy stable, and second-order accurate algorithms for the anisotropic Cahn-Hilliard model
cites work: Stabilized linear semi-implicit schemes for the nonlocal Cahn-Hilliard equation
cites work: An unconditionally energy-stable method for the phase field crystal equation
cites work: On large time-stepping methods for the Cahn-Hilliard equation
cites work: Stable and efficient finite-difference nonlinear-multigrid schemes for the phase field crystal equation
cites work: A semi-analytical Fourier spectral method for the Swift-Hohenberg equation
cites work: An energy stable method for the Swift-Hohenberg equation with quadratic-cubic nonlinearity
cites work: A simple and efficient finite difference method for the phase-field crystal equation on curved surfaces
cites work: Efficient numerical schemes with unconditional energy stabilities for the modified phase field crystal equation
cites work: An efficient and stable compact fourth-order finite difference scheme for the phase field crystal equation
cites work: Unconditionally energy stable DG schemes for the Swift-Hohenberg equation
cites work: Efficient modified techniques of invariant energy quadratization approach for gradient flows
cites work: The Exponential Scalar Auxiliary Variable (E-SAV) Approach for Phase Field Models and Its Explicit Computing
cites work: Two fast and efficient linear semi-implicit approaches with unconditional energy stability for nonlocal phase field crystal equation
cites work: Second-order convex splitting schemes for gradient flows with Ehrlich-Schwoebel type energy: Application to thin film epitaxy
cites work: The scalar auxiliary variable (SAV) approach for gradient flows
cites work: Numerical approximations of Allen-Cahn and Cahn-Hilliard equations
cites work: First and second order numerical methods based on a new convex splitting for phase-field crystal equation
cites work: A Fourier spectral method for fractional-in-space Cahn-Hilliard equation
cites work: Linear, first and second-order, unconditionally energy stable numerical schemes for the phase field model of homopolymer blends
cites work: Linearly first- and second-order, unconditionally energy stable schemes for the phase field crystal model
cites work: Numerical approximations for a new \(L^2\)-gradient flow based phase field crystal model with precise nonlocal mass conservation
DOI: 10.1007/S11075-020-00981-Y
description: scientific article; zbMATH DE number 7352574