An adaptive BDF2 implicit time-stepping method for the phase field crystal model

DOI10.1093/imanum/draa075zbMath1493.65168arXiv2008.00212OpenAlexW3046790868MaRDI QIDQ5024890

Hong-lin Liao, Bingquan Ji, Lu-Ming Zhang

Publication date: 27 January 2022

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.00212

zbMATH Keywords

phase field crystal modeldiscrete orthogonal convolution kernels\(L^2\) norm error estimateadaptive BDF2 methoddiscrete energy dissipation law

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) 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) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Crystals in solids (74N05) PDEs in connection with mechanics of deformable solids (35Q74)

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