@inproceedings{2e1916c5bd7c4c5c92485efc1a319a01,

title = "The Prager-Synge theorem in reconstruction based a posteriori error estimation",

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-Sch{\"o}berl 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.",

keywords = "math.NA, cs.NA",

author = "Fleurianne Bertrand and Daniele Boffi",

year = "2020",

doi = "10.1090/conm/754/15151",

language = "English",

isbn = "978-1-4704-5163-9",

series = "Contemporary Mathematics",

publisher = "American Mathematical Society",

editor = "Brenner, {Susanne C.} and Igor Shparlinski and Chi-Wang Shu and Szyld, {Daniel B.}",

booktitle = "75 Years of Mathematics of Computation",

address = "United States",

note = "Celebrating 75 Years of Mathematics of Computation 2018 ; Conference date: 01-11-2018 Through 03-11-2018",

}