A posteriori error estimations for mixed finite-element approximations to the Navier-Stokes equations

DOI10.1016/j.cam.2011.07.033zbMath1238.76031arXiv1011.2878OpenAlexW1561746020MaRDI QIDQ654136

Bosco García-Archilla, Javier de Frutos, Julia Novo

Publication date: 21 December 2011

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

Full work available at URL: https://arxiv.org/abs/1011.2878

zbMATH Keywords

Stokes systemfully discrete approximationsspatial semidiscrete approximations

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Stokes and related (Oseen, etc.) flows (76D07) 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 (10)

Static two-grid mixed finite-element approximations to the Navier-Stokes equations ⋮ Two-grid mixed finite-element approximations to the Navier-Stokes equations based on a Newton-type step ⋮ A posteriori error estimates of finite element method for the time-dependent Navier-Stokes equations ⋮ Reduction of Numerical Oscillations in Simulating Moving-Boundary Problems by the Local DFD Method ⋮ A Novel Immersed Boundary Method Implemented by Imposing Reconstructed Velocity on Virtual Boundary ⋮ A posteriori error control of \(hp\)-finite elements for variational inequalities of the first and second kind ⋮ A posteriori error analysis of an augmented mixed method for the Navier-Stokes equations with nonlinear viscosity ⋮ Adaptive HDG methods for the steady-state incompressible Navier-Stokes equations ⋮ Generalized postprocessed approximations to the Navier-Stokes equations based on two grids ⋮ A posteriori error estimations for mixed finite element approximations to the Navier-Stokes equations based on Newton-type linearization

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