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

Fleurianne Bertrand, Daniele Boffi

Research output: Chapter in Book/Report/Conference proceedingConference contributionProfessional

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 languageEnglish
Title of host publication75 Years of Mathematics of Computation
Subtitle of host publicationSymposium Celebrating 75 Years of Mathematics of Computation November 1–3, 2018
EditorsSusanne C. Brenner, Igor Shparlinski, Chi-Wang Shu, Daniel B. Szyld
Place of PublicationProvidence, RI
PublisherAmerican Mathematical Society
Number of pages20
ISBN (Electronic)978-1-4704-5637-5
ISBN (Print)978-1-4704-5163-9
DOIs
Publication statusPublished - 2020
Externally publishedYes
EventCelebrating 75 Years of Mathematics of Computation 2018 - Institute for Computational and Experimental Research in Mathematics (ICERM), Providence, United States
Duration: 1 Nov 20183 Nov 2018

Publication series

NameContemporary Mathematics
PublisherAmerican Mathematical Society
Volume754
ISSN (Print)0271-4132
ISSN (Electronic)1098-3627

Conference

ConferenceCelebrating 75 Years of Mathematics of Computation 2018
CountryUnited States
CityProvidence
Period1/11/183/11/18

Keywords

  • math.NA
  • cs.NA

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