Publications in Scientific Journals:
M. Feischl, D. Praetorius, K. van der Zee:
"An abstract analysis of optimal goal-oriented adaptivity";
SIAM Journal on Numerical Analysis,
We provide an abstract framework for optimal goal-oriented adaptivity for finite element methods and boundary element methods in the spirit of [Carstensen et al., Comput. Math. Appl. 67 (2014)].
We prove that this framework covers standard discretizations of general second-order linear elliptic PDEs and hence generalizes available results [Mommer & Stevenson, SIAM J. Numer.
Anal. 47 (2009); Becker et al., SIAM J. Numer. Anal. 49 (2011)] beyond the Poisson equation.
adaptivity, goal-oriented algorithm, quantity of interest, convergence, optimal
"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)
Created from the Publication Database of the Vienna University of Technology.