Global in time stability and accuracy of IMEX-FEM data assimilation schemes for Navier-Stokes equations

DOI10.1016/j.cma.2018.09.004zbMath1440.76075arXiv1805.04090OpenAlexW2800362522WikidataQ129231613 ScholiaQ129231613MaRDI QIDQ1986844

Leo G. Rebholz, Adam Larios, Camille Zerfas

Publication date: 9 April 2020

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.04090

zbMATH Keywords

Navier-Stokes equationsfinite elementsdivergence-free finite elementsdata assimilation

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) 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) Special approximation methods (nonlinear Galerkin, etc.) for infinite-dimensional dissipative dynamical systems (37L65) Inertial manifolds (35B42)

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