Computational Survey on A Posteriori Error Estimators for the Crouzeix–Raviart Nonconforming Finite Element Method for the Stokes Problem

DOI10.1515/cmam-2013-0021zbMath1285.65072OpenAlexW2089093183MaRDI QIDQ5402670

Publication date: 17 March 2014

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

Full work available at URL: https://doi.org/10.1515/cmam-2013-0021

zbMATH Keywords

numerical example error control adaptive finite element method Stokes equation a posteriori error estimation nonconforming Crouzeix-Raviart finite element method

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 (10)

Fully computable a posteriori error estimates for the Stokes equation without the global inf-sup constant ⋮ A low-order discontinuous Petrov-Galerkin method for the Stokes equations ⋮ A posteriori error analysis of an enriched Galerkin method of order one for the Stokes problem ⋮ On the Divergence Constraint in Mixed Finite Element Methods for Incompressible Flows ⋮ Refined a posteriori error estimation for classical and pressure-robust Stokes finite element methods ⋮ Unifying a posteriori error analysis of five piecewise quadratic discretisations for the biharmonic equation ⋮ Three First-Order Finite Volume Element Methods for Stokes Equations under Minimal Regularity Assumptions ⋮ Guaranteed energy error estimators for a modified robust Crouzeix-Raviart Stokes element ⋮ Guaranteed velocity error control for the pseudostress approximation of the Stokes equations ⋮ Guaranteed upper bounds for the velocity error of pressure-robust Stokes discretisations

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