On efficient semi-implicit auxiliary variable methods for the six-order Swift-Hohenberg model
type: Item
instance of: scholarly article
title: On efficient semi-implicit auxiliary variable methods for the six-order Swift-Hohenberg model
zbMATH Open document ID: 1496.65182
author: Zhengguang Liu
author: Chuanjun Chen
published in: Journal of Computational and Applied Mathematics
publication date: 2022-10-06T00:00:00Z
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35K20
Mathematics Subject Classification ID: 35K35
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 65M12
zbMATH DE Number: 7596894
zbMATH Keywords: Swift-Hohenberg model
zbMATH Keywords: scalar auxiliary variable
zbMATH Keywords: step by step
zbMATH Keywords: energy stability
zbMATH Keywords: numerical simulations
MaRDI profile type: Publication
full work available at URL: j.cam.2022.114730
OpenAlex ID: W4294000657
cites work: Q3621203
cites work: Efficient modified techniques of invariant energy quadratization approach for gradient flows
cites work: Numerical approximations of Allen-Cahn and Cahn-Hilliard equations
cites work: Stabilized linear semi-implicit schemes for the nonlocal Cahn-Hilliard equation
cites work: On large time-stepping methods for the Cahn-Hilliard 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: A Fourier spectral method for fractional-in-space Cahn-Hilliard equation
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: Stable and efficient finite-difference nonlinear-multigrid schemes for the phase field crystal equation
cites work: A simple and efficient finite difference method for the phase-field crystal equation on curved surfaces
cites work: An efficient and stable compact fourth-order finite difference scheme for the phase field crystal equation
cites work: Efficient modified stabilized invariant energy quadratization approaches for phase-field crystal equation
cites work: First and second order numerical methods based on a new convex splitting for 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: Unconditionally energy stable DG schemes for the Swift-Hohenberg equation
cites work: Numerical approximations for a new \(L^2\)-gradient flow based phase field crystal model with precise nonlocal mass conservation
cites work: Linear, first and second-order, unconditionally energy stable numerical schemes for the phase field model of homopolymer blends
cites work: The Exponential Scalar Auxiliary Variable (E-SAV) Approach for Phase Field Models and Its Explicit Computing
cites work: Step-by-step solving schemes based on scalar auxiliary variable and invariant energy quadratization approaches for gradient flows
cites work: Optimal error estimates for the scalar auxiliary variable finite-element schemes for gradient flows
cites work: Energy stability and convergence of SAV block-centered finite difference method for gradient flows
cites work: Convergence and Error Analysis for the Scalar Auxiliary Variable (SAV) Schemes to Gradient Flows
cites work: Linearly first- and second-order, unconditionally energy stable schemes for the phase field crystal model
DOI: 10.1016/J.CAM.2022.114730
description: scientific article; zbMATH DE number 7596894