Content:
An adaptive finite element method is developed for a class of optimal control problems with elliptic variational inequality constraints and objective functionals defined on the space of continuous functions, necessitated by a point-tracking requirement with respect to the state variable. A suitable first order stationarity concept is derived for the problem class via a penalty technique. The dual-weighted residual approach for goal-oriented adaptive finite elements is applied and relies on the stationarity system. It yields primal residuals weighted by approxi- mate dual quantities and vice versa as well as complementarity mismatch errors. A report on numerical tests, including the critical case of biactivity, completes this work.
Content:
Peer Reviewed
Note:
The final publication is available at European Mathematical Society Publishing House:http://www.ems-ph.org/journals/show_abstract.php?issn=1463-9963&vol=17&iss=1&rank=2
In:
Interfaces and Free Boundaries, : European Mathematical Society Publishing House, 2015, 17,2015,1, Seiten 21-53
Language:
English
URN:
urn:nbn:de:kobv:11-100246431
URL:
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