Contributions to Books:

M. Feischl, D. Praetorius, K. van der Zee:
"An abstract analysis of optimal goal-oriented adaptivity";
in: "ASC Report 15/2015", issued by: Institute for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2015, ISBN: 978-3-902627-08-7, 1 - 36.

English abstract:
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

Electronic version of the publication:

Created from the Publication Database of the Vienna University of Technology.