A variable time-step IMEX-BDF2 SAV scheme and its sharp error estimate for the Navier–Stokes equations

DOI10.1051/m2an/2023007zbMath1529.65099OpenAlexW4317797516MaRDI QIDQ6048470

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Publication date: 14 September 2023

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/m2an/2023007

zbMATH Keywords

error analysisNavier-Stokesvariable time stepping

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) 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) 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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Convergence and superconvergence analysis of a nonconforming finite element variable-time-step BDF2 implicit scheme for linear reaction-diffusion equations

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