On goal-oriented adaptivity for elliptic optimal control problems

  • The paper proposes goal-oriented error estimation and mesh refinement for optimal control problems with elliptic PDE constraints using the value of the reduced cost functional as quantity of interest. Error representation, hierarchical error estimators, and greedy-style error indicators are derived and compared to their counterparts when using the all-at-once cost functional as quantity of interest. Finally, the efficiency of the error estimator and generated meshes are demonstrated on numerical examples.
Metadaten
Author:Martin WeiserORCiD
Document Type:Article
Parent Title (English):Opt. Meth. Softw.
Volume:28
Issue:13
First Page:969
Last Page:992
Year of first publication:2013
Preprint:urn:nbn:de:0297-zib-11192