Unconditionally energy stable invariant energy quadratization finite element methods for phase-field crystal equation and Swift-Hohenberg equation
type: Item
instance of: scholarly article
title: Unconditionally energy stable invariant energy quadratization finite element methods for phase-field crystal equation and Swift-Hohenberg equation
zbMATH Open document ID: 1542.65166
author: Hao Wang
author: Yaoyao Chen
published in: Journal of Computational and Applied Mathematics
publication date: 2024-08-01T00:00:00Z
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35K35
Mathematics Subject Classification ID: 65N12
zbMATH DE Number: 7890848
zbMATH Keywords: phase-field crystal equation
zbMATH Keywords: Swift-Hohenberg equation
zbMATH Keywords: invariant energy quadratization method
zbMATH Keywords: finite element method
zbMATH Keywords: energy dissipation
MaRDI profile type: Publication
cites work: An Energy Stable BDF2 Fourier Pseudo-Spectral Numerical Scheme for the Square Phase Field Crystal Equation
cites work: Stability and error estimates of the SAV Fourier-spectral method for the phase field crystal equation
cites work: Unconditionally energy stable DG schemes for the Swift-Hohenberg equation
cites work: Optimal error estimates of the local discontinuous Galerkin method and high-order time discretization scheme for the Swift-Hohenberg equation
cites work: Convergence analysis and numerical implementation of a second order numerical scheme for the three-dimensional phase field crystal equation
cites work: Linear second order energy stable schemes for phase field crystal growth models with nonlocal constraints
cites work: An efficient and stable compact fourth-order finite difference scheme for the phase field crystal equation
cites work: An Energy-Stable and Convergent Finite-Difference Scheme for the Phase Field Crystal Equation
cites work: A second order energy stable BDF numerical scheme for the Swift-Hohenberg equation
cites work: An energy-stable second-order finite element method for the Swift-Hohenberg equation
cites work: Convergence analysis of a second order convex splitting scheme for the modified phase field crystal equation
cites work: Stability and convergence analysis of adaptive BDF2 scheme for the Swift-Hohenberg equation
cites work: A new space-time discretization for the Swift-Hohenberg equation that strictly respects the Lyapunov functional
cites work: High order unconditionally energy stable RKDG schemes for the Swift-Hohenberg equation
cites work: Two fast and efficient linear semi-implicit approaches with unconditional energy stability for nonlocal phase field crystal equation
cites work: Energy dissipation-preserving time-dependent auxiliary variable method for the phase-field crystal and the Swift-Hohenberg models
cites work: A novel second-order time accurate fully discrete finite element scheme with decoupling structure for the hydrodynamically-coupled phase field crystal model
cites work: Efficient numerical schemes with unconditional energy stabilities for the modified phase field crystal equation
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
cites work: Efficient modified stabilized invariant energy quadratization approaches for phase-field crystal equation
DOI: 10.1016/J.CAM.2024.115996
description: scientific article; zbMATH DE number 7890848