Fully discrete spectral-Galerkin linear and unconditionally energy stable algorithm for the square phase-field crystal system

DOI10.1016/j.aml.2022.107992OpenAlexW4213415934WikidataQ113880665 ScholiaQ113880665MaRDI QIDQ2135688

Xilin Min, Jun Zhang

Publication date: 9 May 2022

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2022.107992

zbMATH Keywords

spectralsecond-orderenergy stabilityCahn-Hilliardsquare phase-field crystal

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (4)

A new Lagrange multiplier method for the mass-conserved Allen-Cahn type square phase-field crystal model ⋮ Unconditional energy stability and temporal convergence of first-order numerical scheme for the square phase-field crystal model ⋮ Error analysis of second-order IEQ numerical schemes for the viscous Cahn-Hilliard equation with hyperbolic relaxation ⋮ Error estimates for the scalar auxiliary variable (SAV) schemes to the modified phase field crystal equation

Cites Work

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• Fully-discrete finite element numerical scheme with decoupling structure and energy stability for the Cahn–Hilliard phase-field model of two-phase incompressible flow system with variable density and viscosity

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