Recovery-based error estimator for stabilized finite element methods for the Stokes equation

DOI10.1016/j.cma.2014.01.004zbMath1296.76087OpenAlexW1968373589MaRDI QIDQ459064

Yan-ren Hou, Lina Song, Zhi-qiang Cai

Publication date: 8 October 2014

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

Full work available at URL: https://doi.org/10.1016/j.cma.2014.01.004

zbMATH Keywords

adaptive methodStokes equationsstabilized finite element methoda posterior error estimatesrecovery-based error estimator

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Stokes and related (Oseen, etc.) flows (76D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items

On the Error Analysis of Stabilized Finite Element Methods for the Stokes Problem ⋮ A posteriori error estimates for the stabilization of low-order mixed finite elements for the Stokes problem ⋮ A layers capturing type H-adaptive finite element method for convection-diffusion-reaction equations on surfaces ⋮ Recovery-Based Error Estimator for Stabilized Finite Element Method for the Stationary Navier--Stokes Problem ⋮ Projection stabilized nonconforming finite element methods for the stokes problem ⋮ Recovery type a posteriori error estimates for the conduction convection problem ⋮ Gradient recovery-based adaptive stabilized mixed FEM for the convection-diffusion-reaction equation on surfaces ⋮ Adaptive inexact iterative algorithms based on polynomial-degree-robust a posteriori estimates for the Stokes problem ⋮ Analysis of an a posteriori error estimator for a variational inequality governed by the Stokes equations ⋮ Analysis of the stabilized element free Galerkin approximations to the Stokes equations ⋮ A recovery-based a posteriori error estimator for the generalized Stokes problem.

Uses Software

• FreeFem++

Cites Work

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