Zeitschriftenartikel:
M. Innerberger, D. Praetorius:
"Instance-optimal goal-oriented adaptivity";
Computational Methods in Applied Mathematics,
21
(2021),
1;
S. 109
- 126.
Kurzfassung englisch:
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.
Schlagworte:
Adaptive finite element method, goal-oriented algorithm, quantity of interest, maximum marking strategy, convergence, instance optimality
"Offizielle" elektronische Version der Publikation (entsprechend ihrem Digital Object Identifier - DOI)
http://dx.doi.org/10.1515/cmam-2019-0115
Erstellt aus der Publikationsdatenbank der Technischen Universität Wien.