Contributions to Books:

M. Innerberger, D. Praetorius:
"Instance-optimal goal-oriented adaptivity";
in: "ASC Report 21/2019", issued by: Institute for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2019, ISBN: 978-3-902627-12-4, 1 - 20.

English abstract:
We consider an adaptive finite element method with arbitrary but fixed
polynomial degree p >= 1, where adaptivity is driven by an edge-based residual error estimator. Based on the modified maximum criterion from [Diening et al, Found. Comput.Math. 16, 2016], we propose a goal-oriented adaptive algorithm and prove that it is instance optimal. Numerical experiments underline our theoretical findings.

Adaptive finite element method, goal-oriented algorithm, quantity of interest, maximum marking strategy, convergence, instance optimality

Electronic version of the publication:

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