Titelaufnahme

Titel
Moreau-Yosida Regularization in State Constrained Elliptic Control Problems: Error Estimates and Parameter Adjustment
VerfasserHintermüller, Michael In der Gemeinsamen Normdatei der DNB nachschlagen ; Hinze, Michael
Erschienen in
SIAM Journal on Numerical Analysis, Philadelphia, Pa., 2009, Jg. 47, H. 3, S. 1666-1683
ErschienenSIAM
SpracheEnglisch
DokumenttypAufsatz in einer Zeitschrift
Schlagwörter (EN)elliptic optimal control problem / error estimates / Moreau-Yosida-based regularization / pointwise state constraints
ISSN1095-7170
URNurn:nbn:at:at-ubg:3-998 Persistent Identifier (URN)
DOIdoi:10.1137/080718735 
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Moreau-Yosida Regularization in State Constrained Elliptic Control Problems: Error Estimates and Parameter Adjustment [1.95 mb]
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Zusammenfassung (Englisch)

An adjustment scheme for the regularization parameter of a MoreauYosida-based regularization, or relaxation, approach to the numerical solution of pointwise state constrained elliptic optimal control problems is introduced. The method utilizes error estimates of an associated finite element discretization of the regularized problems for the optimal selection of the regularization parameter in dependence on the mesh size of discretization and error estimates for the approximation error due to regularization. The theoretical results are verified numerically.

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