On goal-oriented adaptivity for elliptic optimal control problems

Please always quote using this URN: urn:nbn:de:0297-zib-11192
  • 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.

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Metadaten
Author:Martin WeiserORCiD
Document Type:ZIB-Report
Tag:adaptive mesh refinement; error estimation; optimal control
MSC-Classification:65-XX NUMERICAL ANALYSIS / 65Kxx Mathematical programming, optimization and variational techniques / 65K10 Optimization and variational techniques [See also 49Mxx, 93B40]
65-XX NUMERICAL ANALYSIS / 65Nxx Partial differential equations, boundary value problems / 65N50 Mesh generation and refinement
Date of first Publication:2009/02/24
Series (Serial Number):ZIB-Report (09-08)
ISSN:1438-0064
Published in:appeared in Opt. Meth. Softw. 28(13), 969-992, 2013