An abstract analysis of optimal goal-oriented adaptivity

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Feischl, Michael, Praetorius, Dirk and van der Zee, Kristoffer George (2016) An abstract analysis of optimal goal-oriented adaptivity. SIAM Journal on Numerical Analysis, 54 (3). pp. 1423-1448. ISSN 1095-7170

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Abstract

We provide an abstract framework for optimal goal-oriented adaptivity for finite element methods and boundary element methods in the spirit of (Carstensen, Feischl, Page, and Praetorius, Axioms of adaptivity, Comput. Math. Appl., 67 (2014), pp. 1195–1253). We prove that this framework covers standard discretizations of general second-order linear elliptic PDEs and hence generalizes available results beyond the Poisson equation.

Item Type: Article
RIS ID: https://nottingham-repository.worktribe.com/output/790172
Additional Information: First published in SIAM Journal on Numerical Analysis in Vol. 54, no. 3, published by the Society for Industrial and Applied Mathematics (SIAM) c2016 Society for Industrial and Applied Mathematics
Keywords: Adaptivity, goal-oriented algorithm, quantity of interest, convergence, optimal convergence rates, finite element method, boundary element method
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Mathematical Sciences
Identification Number: 10.1137/15M1021982
Depositing User: van der Zee, Kristoffer
Date Deposited: 07 Apr 2016 08:59
Last Modified: 04 May 2020 17:52
URI: https://eprints.nottingham.ac.uk/id/eprint/32679

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