Efficient linear and unconditionally energy stable schemes for the modified phase field crystal equation

DOI10.1007/s11425-020-1867-8OpenAlexW3203944771MaRDI QIDQ2082288

Yanyan Li

Publication date: 4 October 2022

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.04319

zbMATH Keywords

numerical experimentserror estimateenergy stabilitymodified phase field crystalscalar auxiliary variable (SAV)

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) Initial value problems for nonlinear higher-order PDEs (35G25) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical analysis (65-XX)

Related Items

Double stabilizations and convergence analysis of a second-order linear numerical scheme for the nonlocal Cahn-Hilliard equation ⋮ Stability and error estimates of GPAV-based unconditionally energy-stable scheme for phase field crystal equation ⋮ Linear and unconditionally energy stable schemes for the modified phase field crystal equation ⋮ A Second-Order, Linear, \(\boldsymbol{L^\infty}\)-Convergent, and Energy Stable Scheme for the Phase Field Crystal Equation ⋮ A highly efficient and accurate new SAV approach for the modified phase field crystal model

Cites Work

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