Skip to main content

Research Repository

Advanced Search

An abstract analysis of optimal goal-oriented adaptivity

Feischl, Michael; Praetorius, Dirk; van der Zee, Kristoffer George

An abstract analysis of optimal goal-oriented adaptivity Thumbnail


Authors

Michael Feischl

Dirk Praetorius



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.

Citation

Feischl, M., Praetorius, D., & van der Zee, K. G. (in press). An abstract analysis of optimal goal-oriented adaptivity. SIAM Journal on Numerical Analysis, 54(3), https://doi.org/10.1137/15M1021982

Journal Article Type Article
Acceptance Date Mar 4, 2016
Online Publication Date May 12, 2016
Deposit Date Apr 7, 2016
Publicly Available Date May 12, 2016
Journal SIAM Journal on Numerical Analysis
Print ISSN 0036-1429
Electronic ISSN 1095-7170
Publisher Society for Industrial and Applied Mathematics
Peer Reviewed Peer Reviewed
Volume 54
Issue 3
DOI https://doi.org/10.1137/15M1021982
Keywords Adaptivity, goal-oriented algorithm, quantity of interest, convergence, optimal convergence rates, finite element method, boundary element method
Public URL https://nottingham-repository.worktribe.com/output/790172
Publisher URL http://epubs.siam.org/doi/abs/10.1137/15M1021982
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
Contract Date Apr 7, 2016

Files





You might also like



Downloadable Citations