Paper Info
Title
An abstract analysis of optimal goal-oriented adaptivity
Abstract
We provide an abstract framework for optimal goal-oriented adaptivity for finite element methods and boundary element methods in the spirit of [C. Carstensen et al., 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 [R. Becker, E. Estecahandy, and D. Trujillo, SIAM J. Numer. Anal., 49 (2011), pp. 2451-2469, M. S. Mommer and R. Stevenson, SIAM J. Numer. Anal., 47 (2009), pp. 861-886] beyond the Poisson equation.
Year
DOI
Venue
2016
10.1137/15M1021982
SIAM JOURNAL ON NUMERICAL ANALYSIS
Keywords
Field
DocType
adaptivity,goal-oriented algorithm,quantity of interest,convergence,optimal convergence rates,finite element method,boundary element method
Convergence (routing),Elliptic pdes,Mathematical optimization,Poisson's equation,Goal orientation,Finite element method,Boundary element method,Mathematics
Journal
Volume
Issue
ISSN
54
3
0036-1429
Citations 
PageRank 
References 
1
0.36
0
Authors
3
Name
Order
Citations
PageRank
M Feischl1527.67
Dirk Praetorius212122.50
kristoffer g van der zee310.36