A posteriorierror analysis of nonconforming finite-element discretization for the Stokes equations

DOI10.1080/00207160.2010.520082zbMath1331.76064OpenAlexW2037537147MaRDI QIDQ3008357

Anas Rachid, Mohamed Bahaj

Publication date: 15 June 2011

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2010.520082

zbMATH Keywords

Stokes equationsa posteriori error analysisHelmholtz decompositionnonconforming finite elementmixed finite element

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) Finite element methods applied to problems in fluid mechanics (76M10)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A posteriori error estimators for the Stokes equations
• A posteriori error estimators for the Stokes equations. II: Non- conforming discretizations
• A posteriori error estimates for nonconforming finite element schemes
• A stable nonconforming quadrilateral finite element method for the stationary Stokes and Navier-Stokes equations
• A posteriori error estimates for the Stokes equations: A comparison
• Residual a posteriori error estimator for a three-field model of a nonlinear generalized Stokes problem
• A unifying theory of a posteriori error control for nonconforming finite element methods
• A unifying theory of a posteriori finite element error control
• A Posteriori Error Estimators for the Stokes and Oseen Equations
• A Posteriori Error Estimates for the Stokes Problem
• Simple nonconforming quadrilateral Stokes element
• A Posteriori Error Estimation for Stabilized Mixed Approximations of the Stokes Equations
• Reliable a posteriori error control for nonconforming finite element approximation of Stokes flow
• Unified framework for an a posteriori error analysis of non-standard finite element approximations of H(curl)-elliptic problems
• Framework for the A Posteriori Error Analysis of Nonconforming Finite Elements

This page was built for publication: A posteriorierror analysis of nonconforming finite-element discretization for the Stokes equations