Error analysis of proper orthogonal decomposition data assimilation schemes with grad-div stabilization for the Navier-Stokes equations

DOI10.1016/j.cam.2022.114246zbMath1486.65167arXiv2004.09127OpenAlexW4220899106WikidataQ114201869 ScholiaQ114201869MaRDI QIDQ2141571

Samuele Rubino, Julia Novo, Bosco García-Archilla

Publication date: 25 May 2022

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.09127

zbMATH Keywords

Navier-Stokes equationsproper orthogonal decompositiondata assimilationmixed finite elements methodsfully discrete schemesuniform-in-time error estimates

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) 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) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Flow control and optimization for incompressible viscous fluids (76D55)

Related Items (3)

On a certified VMS-Smagorinsky reduced basis model with LPS pressure stabilisation ⋮ On the influence of the nonlinear term in the numerical approximation of incompressible flows by means of proper orthogonal decomposition methods ⋮ POD-ROMs for Incompressible Flows Including Snapshots of the Temporal Derivative of the Full Order Solution

Uses Software

• FreeFem++

Cites Work

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