The Prager-Synge theorem in reconstruction based a posteriori error estimation

Fleurianne Bertrand; Daniele Boffi

The Prager-Synge theorem in reconstruction based a posteriori error estimation

Fleurianne Bertrand, Daniele Boffi

Research output: Working paper

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Abstract

In this paper we review the hypercircle method of Prager and Synge. This theory inspired several studies and induced an active research in the area of a posteriori error analysis. In particular, we review the Braess-Schöberl error estimator in the context of the Poisson problem. We discuss adaptive finite element schemes based on two variants of the estimator and we prove the convergence and optimality of the resulting algorithms.

Original language	English
Publisher	ArXiv.org
Number of pages	20
Publication status	Published - 2019
Externally published	Yes

Keywords

math.NA
cs.NA

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Bertrand2018prager-syngeFinal published version, 327 KB

https://arxiv.org/abs/1907.00440Licence: CC BY

1 Conference contribution

The Prager-Synge theorem in reconstruction based a posteriori error estimation
Bertrand, F. & Boffi, D., 2020, 75 Years of Mathematics of Computation: Symposium Celebrating 75 Years of Mathematics of Computation November 1–3, 2018. Brenner, S. C., Shparlinski, I., Shu, C-W. & Szyld, D. B. (eds.). Providence, RI: American Mathematical Society, 20 p. (Contemporary Mathematics; vol. 754).
Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Professional

Cite this

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The Prager-Synge theorem in reconstruction based a posteriori error estimation

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The Prager-Synge theorem in reconstruction based a posteriori error estimation

Cite this