Analysis of recovery type a posteriori error estimators for mildly structured grids

Jinchao Xu; Zhimin Zhang

doi:10.1090/S0025-5718-03-01600-4

Analysis of recovery type a posteriori error estimators for mildly structured grids

Jinchao Xu, Zhimin Zhang

Research output: Contribution to journal › Article › peer-review

141 Scopus citations

Abstract

Some recovery type error estimators for linear finite elements are analyzed under O(h 1+α) (α > 0) regular grids. Superconvergence of order O(h 1+ρ) (0 < ρ ≤ α) is established for recovered gradients by three different methods. As a consequence, a posteriori error estimators based on those recovery methods are asymptotically exact.

Original language	English (US)
Pages (from-to)	1139-1152
Number of pages	14
Journal	Mathematics of Computation
Volume	73
Issue number	247
DOIs	https://doi.org/10.1090/S0025-5718-03-01600-4
State	Published - Jul 1 2004
Externally published	Yes

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Generated from Scopus record by KAUST IRTS on 2023-02-15

ASJC Scopus subject areas

Algebra and Number Theory
Computational Mathematics
Applied Mathematics

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10.1090/S0025-5718-03-01600-4

Cite this

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abstract = "Some recovery type error estimators for linear finite elements are analyzed under O(h 1+α) (α > 0) regular grids. Superconvergence of order O(h 1+ρ) (0 < ρ ≤ α) is established for recovered gradients by three different methods. As a consequence, a posteriori error estimators based on those recovery methods are asymptotically exact.",

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AB - Some recovery type error estimators for linear finite elements are analyzed under O(h 1+α) (α > 0) regular grids. Superconvergence of order O(h 1+ρ) (0 < ρ ≤ α) is established for recovered gradients by three different methods. As a consequence, a posteriori error estimators based on those recovery methods are asymptotically exact.

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Analysis of recovery type a posteriori error estimators for mildly structured grids

Abstract

Bibliographical note

ASJC Scopus subject areas

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