Error Analysis of SAV Finite Element Method to Phase Field Crystal Model

DOI10.4208/nmtma.OA-2019-0110zbMath1463.65310arXiv1910.05739MaRDI QIDQ5143946

Yunqing Huang, Liupeng Wang, Kai Jiang

Publication date: 14 January 2021

Published in: Numerical Mathematics: Theory, Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.05739

zbMATH Keywords

error analysisadaptive methodenergy stabilityphase field crystal modellinear finite element methodscalar auxiliary variable approach

Mathematics Subject Classification ID

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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

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Spectral deferred correction method for Landau-Brazovskii model with convex splitting technique ⋮ Highly efficient, decoupled and unconditionally stable numerical schemes for a modified phase-field crystal model with a strong nonlinear vacancy potential ⋮ Stability and error estimates of GPAV-based unconditionally energy-stable scheme for phase field crystal equation ⋮ Error estimates for second-order SAV finite element method to phase field crystal model ⋮ High-order time-accurate, efficient, and structure-preserving numerical methods for the conservative Swift-Hohenberg model ⋮ An improved scalar auxiliary variable (SAV) approach for the phase-field surfactant model ⋮ Unnamed Item ⋮ Energy dissipation-preserving time-dependent auxiliary variable method for the phase-field crystal and the Swift-Hohenberg models

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