On the asymptotic exactness of Bank-Weiser's estimator

DOI10.1007/BF01396231zbMath0761.65077OpenAlexW2348717803MaRDI QIDQ1204151

Rodolfo Rodríguez, Ricardo G. Durán

Publication date: 1 April 1993

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133652

zbMATH Keywords

finite element methodPoisson equationsecond order elliptic equationserror estimatorasymptotic exactness

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (13)

A comparison of a posteriori error estimators for mixed finite element discretizations by Raviart-Thomas elements ⋮ Optimal-order quadratic interpolation in vertices of unstructured triangulations. ⋮ PROBABILISTIC ANALYSIS OF AN A POSTERIORI ERROR ESTIMATOR FOR FINITE ELEMENTS ⋮ A posteriori error estimation in finite element analysis ⋮ A simple analysis of some a posteriori error estimates ⋮ Asymptotic exactness of an a posteriori error estimator based on the equilibrated residual method ⋮ Asymptotic exactness of some Bank-Weiser error estimator for quadratic triangular finite element ⋮ Removing the saturation assumption in bank-Weiser error estimator analysis in dimension three ⋮ On the asymptotic exactness of error estimators based on the equilibrated residual method for quadrilateral finite elements ⋮ Exact a posteriori error analysis of the least squares finite element method ⋮ Averaging of directional derivatives in vertices of nonobtuse regular triangulations ⋮ Enhancing eigenvalue approximation with Bank--Weiser error estimators ⋮ ON THE ASYMPTOTIC EXACTNESS OF AN ERROR ESTIMATOR FOR THE LOWEST-ORDER RAVIART-THOMAS MIXED FINITE ELEMENT

Uses Software

• PLTMG

Cites Work

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• Analysis of the Efficiency of an a Posteriori Error Estimator for Linear Triangular Finite Elements
• Error Estimates for Adaptive Finite Element Computations
• The problem of the selection of an a posteriori error indicator based on smoothening techniques
• Superconvergent recovery of gradients on subdomains from piecewise linear finite‐element approximations

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