Error estimates for the scalar auxiliary variable (SAV) schemes to the modified phase field crystal equation

DOI10.1016/j.cam.2022.114579zbMath1502.65070OpenAlexW4285600498WikidataQ113878691 ScholiaQ113878691MaRDI QIDQ2088773

Longzhao Qi, Yan-ren Hou

Publication date: 6 October 2022

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2022.114579

zbMATH Keywords

error estimatesenergy stabilitymodified phase field crystal equationscalar auxiliary variable

Mathematics Subject Classification ID

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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Finite difference methods for boundary value problems involving PDEs (65N06) Crystals in solids (74N05)

Related Items (4)

An energy-stable second-order finite element method for the Swift-Hohenberg equation ⋮ Stability and error estimates of GPAV-based unconditionally energy-stable scheme for phase field crystal equation ⋮ Error analysis of second-order IEQ numerical schemes for the viscous Cahn-Hilliard equation with hyperbolic relaxation ⋮ Error analysis of first- and second-order linear, unconditionally energy-stable schemes for the Swift-Hohenberg equation

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