Analysis of fully discrete finite element methods for 2D Navier–Stokes equations with critical initial data

DOI10.1051/m2an/2022073zbMath1503.65238arXiv2101.02444OpenAlexW3118262253WikidataQ114105395 ScholiaQ114105395MaRDI QIDQ5056322

Shu Ma, Buyang Li, Yuki Ueda

Publication date: 8 December 2022

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

Full work available at URL: https://arxiv.org/abs/2101.02444

zbMATH Keywords

Navier-Stokes equationsfinite element methoderror estimatesemi-implicit Euler scheme\(L^2\) initial data

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite difference methods applied to problems in fluid mechanics (76M20) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30) 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) Finite element methods applied to problems in fluid mechanics (76M10) 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)

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