On the asymptotic exactness of error estimators based on the equilibrated residual method for quadrilateral finite elements

DOI10.1016/J.APNUM.2012.07.007zbMath1256.65098OpenAlexW2026967100MaRDI QIDQ1760124

Lijun Yi

Publication date: 12 November 2012

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2012.07.007

zbMATH Keywords

finite element methodquadrilateral elementsa posteriori error estimationasymptotic exactnessequilibrated residual method

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Cites Work

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• On superconvergence techniques
• Asymptotic exactness of an a posteriori error estimator based on the equilibrated residual method
• Analysis of the equilibrated residual method for a posteriori error estimation on meshes with hanging nodes
• On the asymptotic exactness of Bank-Weiser's estimator
• A unified approach to a posteriori error estimation using element residual methods
• The influence and selection of subspaces for a posteriori error estimators
• Some A Posteriori Error Estimators for Elliptic Partial Differential Equations
• The self-equilibration of residuals and complementarya posteriori error estimates in the finite element method
• Error Estimate Procedure in the Finite Element Method and Applications
• The superconvergent patch recovery anda posteriori error estimates. Part 1: The recovery technique
• The superconvergent patch recovery anda posteriori error estimates. Part 2: Error estimates and adaptivity
• Interior Estimates for Ritz-Galerkin Methods
• A‐posteriori error estimates for the finite element method
• Superconvergence of the gradient of finite element solutions
• Reliable and Robust A Posteriori Error Estimation for Singularly Perturbed Reaction-Diffusion Problems
• The performance of Bank‐Weiser's error estimator for quadrilateral finite elements
• A Local A Posteriori Error Estimator Based on Equilibrated Fluxes
• A Posteriori Error Estimates Based on the Polynomial Preserving Recovery
• Interior Maximum-Norm Estimates for Finite Element Methods, Part II
• The generalized finite element method

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