Some improvements to the flux-type a posteriori error estimators

DOI10.1016/J.CMA.2007.08.015zbMath1169.65341OpenAlexW1979388227MaRDI QIDQ839229

Xiaoliang Wan

Publication date: 1 September 2009

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.2007.08.015

zbMATH Keywords

finite elementselliptic equationsspectral elements

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) 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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• A procedure for a posteriori error estimation for \(h\)-\(p\) finite element methods
• A posteriori error estimators for second order elliptic systems. I: Theoretical foundations and a posteriori error analysis
• A posteriori error estimators for second order elliptic systems. II: An optimal order process for calculating self-equilibrating fluxes
• On goal-oriented error estimation for elliptic problems: Application to the control of pointwise errors
• A Posteriori Error Estimates Based on Hierarchical Bases
• 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
• A‐posteriori error estimates for the finite element method
• Validation of a posteriori error estimators by numerical approach
• The generalized finite element method
• Goal-oriented error estimation and adaptivity for the finite element method
• A posteriori error estimators and adaptivity for finite element approximation of the non-homogeneous Dirichlet problem

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