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 -