TY - CHAP

T1 - The Prager–Synge theorem in reconstruction based a posteriori error estimation

AU - Bertrand, Fleurianne

AU - Boffi, Daniele

N1 - KAUST Repository Item: Exported on 2020-10-13

PY - 2020/7/30

Y1 - 2020/7/30

N2 - 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.

AB - 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.

UR - http://hdl.handle.net/10754/665533

UR - https://www.ams.org/books/conm/754/15152/conm754-15152.pdf

U2 - 10.1090/conm/754/15152

DO - 10.1090/conm/754/15152

M3 - Chapter

SN - 9781470451639

SP - 45

EP - 67

BT - 75 Years of Mathematics of
Computation

PB - American Mathematical Society

ER -