Numerical approximation of the two-component PFC models for binary colloidal crystals: efficient, decoupled, and second-order unconditionally energy stable schemes
type: Item
instance of: scholarly article
title: Numerical approximation of the two-component PFC models for binary colloidal crystals: efficient, decoupled, and second-order unconditionally energy stable schemes
zbMATH Open document ID: 1500.65044
author: Yanyan Li
published in: Journal of Scientific Computing
publication date: 2021-09-01T00:00:00Z
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 65N35
Mathematics Subject Classification ID: 65T50
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 35K46
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 82C26
Mathematics Subject Classification ID: 82D25
Mathematics Subject Classification ID: 74N05
Mathematics Subject Classification ID: 74F15
zbMATH DE Number: 7389357
zbMATH Keywords: binary colloidal crystals
zbMATH Keywords: phase-field crystal model
zbMATH Keywords: decoupling
zbMATH Keywords: unconditional energy stability
zbMATH Keywords: SAV approach
MaRDI profile type: Publication
full work available at URL: s10915-021-01564-2
OpenAlex ID: W3185639826
cites work: Energy stable and efficient finite-difference nonlinear multigrid schemes for the modified phase field crystal equation
cites work: Convergence analysis of a second order convex splitting scheme for the modified phase field crystal equation
cites work: A new Lagrange multiplier approach for gradient flows
cites work: Global Constraints Preserving Scalar Auxiliary Variable Schemes for Gradient Flows
cites work: The meshless local collocation method for solving multi-dimensional Cahn-Hilliard, Swift-Hohenberg and phase field crystal equations
cites work: Improving the accuracy of convexity splitting methods for gradient flow equations
cites work: An unconditionally energy-stable method for the phase field crystal equation
cites work: Local Discontinuous Galerkin Method and High Order Semi-Implicit Scheme for the Phase Field Crystal Equation
cites work: Stability of Soft Quasicrystals in a Coupled-Mode Swift-Hohenberg Model for Three-Component Systems
cites work: First and second order operator splitting methods for the phase field crystal equation
cites work: On second order semi-implicit Fourier spectral methods for 2D Cahn-Hilliard equations
cites work: Highly efficient and linear numerical schemes with unconditional energy stability for the anisotropic phase-field crystal model
cites work: Efficient, decoupled, and second-order unconditionally energy stable numerical schemes for the coupled Cahn-Hilliard system in copolymer/homopolymer mixtures
cites work: Efficient numerical schemes with unconditional energy stabilities for the modified phase field crystal equation
cites work: Nonlocal reaction—diffusion equations and nucleation
cites work: The scalar auxiliary variable (SAV) approach for gradient flows
cites work: A New Class of Efficient and Robust Energy Stable Schemes 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: Advanced operator splitting-based semi-implicit spectral method to solve the binary phase-field crystal equations with variable coefficients
cites work: An Energy Stable and Convergent Finite-Difference Scheme 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: On efficient numerical schemes for a two-mode phase field crystal model with face-centered-cubic (FCC) ordering structure
DOI: 10.1007/S10915-021-01564-2
description: scientific article; zbMATH DE number 7389357