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.
Original language | English (US) |
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Title of host publication | 75 Years of Mathematics of Computation |
Publisher | American Mathematical Society |
Pages | 45-67 |
Number of pages | 23 |
ISBN (Print) | 9781470451639 |
DOIs | |
State | Published - Jul 30 2020 |