A posteriori error estimations for mixed finite element approximations to the Navier-Stokes equations based on Newton-type linearization

DOI10.1016/j.cam.2019.112429zbMath1464.65118OpenAlexW2972176159MaRDI QIDQ2332742

Julia Novo, Francisco Durango

Publication date: 5 November 2019

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

Full work available at URL: https://doi.org/10.1016/j.cam.2019.112429

zbMATH Keywords

incompressible Navier-Stokes equationsa posteriori error estimationsstatic two-grid methods

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) 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)

Related Items (6)

A posteriori error estimates for the time-dependent Navier-Stokes system coupled with the convection-diffusion-reaction equation ⋮ Adaptive HDG methods for the steady-state incompressible Navier-Stokes equations ⋮ Generalized postprocessed approximations to the Navier-Stokes equations based on two grids ⋮ Enriched Galerkin-Characteristics Finite Element Method for Incompressible Navier--Stokes Equations ⋮ Residual-baseda posteriorierror analysis for the coupling of the Navier–Stokes and Darcy–Forchheimer equations ⋮ A posteriori error analysis of Banach spaces-based fully-mixed finite element methods for Boussinesq-type models

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