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

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    Type
    Book Chapter
    Authors
    Bertrand, Fleurianne
    Boffi, Daniele cc
    KAUST Department
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    Date
    2020-07-30
    Online Publication Date
    2020-07-30
    Print Publication Date
    2020
    Permanent link to this record
    http://hdl.handle.net/10754/665533
    
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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–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.
    Citation
    Bertrand, F., & Boffi, D. (2020). The Prager–Synge theorem in reconstruction based a posteriori error estimation. Contemporary Mathematics, 45–67. doi:10.1090/conm/754/15152
    Publisher
    American Mathematical Society (AMS)
    ISBN
    9781470451639
    9781470456375
    DOI
    10.1090/conm/754/15152
    arXiv
    1907.00440
    Additional Links
    https://www.ams.org/books/conm/754/15152/conm754-15152.pdf
    ae974a485f413a2113503eed53cd6c53
    10.1090/conm/754/15152
    Scopus Count
    Collections
    Book Chapters; Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division

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