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

Fleurianne Bertrand, Daniele Boffi

Research output: Chapter in Book/Report/Conference proceedingChapter

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–Schoberl 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 languageEnglish (US)
Title of host publication75 Years of Mathematics of Computation
PublisherAmerican Mathematical Society
Pages45-67
Number of pages23
ISBN (Print)9781470451639
DOIs
StatePublished - Jul 30 2020

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