A posteriori error estimation of steady-state finite element solutions of the Navier-Stokes equations by a subdomain residual method

DOI10.1016/S0045-7825(98)80102-3zbMath0953.76049OpenAlexW1967183330MaRDI QIDQ1817831

Yanyan Li

Publication date: 4 January 2000

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

Full work available at URL: https://doi.org/10.1016/s0045-7825(98)80102-3

zbMATH Keywords

iterative procedureerror estimatesincompressible Navier-Stokes equationsflow past circular cylinderchannel flow over backward-facing stepsteady-state finite element solutionssubdomain residual method

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (13)

The multiscale approach to error estimation and adaptivity ⋮ A posteriori error estimates for FEM with violated Galerkin orthogonality ⋮ Variational multiscale a posteriori error estimation for multi-dimensional transport problems ⋮ Variational multiscale a posteriori error estimation for systems: the Euler and Navier-Stokes equations ⋮ Recovery-Based Error Estimator for Stabilized Finite Element Method for the Stationary Navier--Stokes Problem ⋮ A review of VMS a posteriori error estimation with emphasis in fluid mechanics ⋮ Implicit a posteriori error estimation using patch recovery techniques ⋮ A posteriori error estimations for mixed finite-element approximations to the Navier-Stokes equations ⋮ An adaptive residual local projection finite element method for the Navier-Stokes equations ⋮ Adaptive mesh generation for fluid mechanics problems ⋮ Variational multiscale a posteriori error estimation for systems. Application to linear elasticity ⋮ A posteriori analysis of the Newton method applied to the Navier-Stokes problem ⋮ A posteriori error estimations for mixed finite element approximations to the Navier-Stokes equations based on Newton-type linearization

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