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Publications in Scientific Journals:

M. Innerberger, D. Praetorius:
"Instance-optimal goal-oriented adaptivity";
accepted for publication in Computational Methods in Applied Mathematics (2020).



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.

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


"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)
http://dx.doi.org/10.1515/cmam-2019-0115


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