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 languageEnglish
PublisherArXiv
Number of pages20
Publication statusPublished - 2019
Externally publishedYes

Keywords

  • math.NA
  • cs.NA

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