Asymptotically exact a posteriori estimators for the pointwise gradient error on each element in irregular meshes. Part 1: A smooth problem and globally quasi-uniform meshes

DOI10.1090/S0025-5718-01-01286-8zbMath0969.65099OpenAlexW2010332082MaRDI QIDQ2719058

Lars B. Wahlbin, Alfred H. Schatz, Wolfgang Hoffmann, Gabriel Wittum

Publication date: 14 May 2001

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-01-01286-8

zbMATH Keywords

unstructured meshesfinite element methodsa posteriori estimatorspointwise gradient errorsmooth second order elliptic problems

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)

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Cites Work

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• On the asymptotic exactness of error estimators for linear triangular finite elements
• Superconvergence in Galerkin finite element methods
• Some A Posteriori Error Estimators for Elliptic Partial Differential Equations
• An Adaptive Finite Element Method for Linear Elliptic Problems
• The superconvergent patch recovery anda posteriori error estimates. Part 2: Error estimates and adaptivity
• A‐posteriori error estimates for the finite element method
• Pointwise a Posteriori Error Estimates for Elliptic Problems on Highly Graded Meshes
• Pointwise error estimates and asymptotic error expansion inequalities for the finite element method on irregular grids: Part I. Global estimates
• Maximum Norm Error Estimators for Three-Dimensional Elliptic Problems

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