Titelaufnahme

Titel
On computation of the shape Hessian of the cost functional without shape sensitivity of the state variable
VerfasserKasumba, Henry ; Kunisch, Karl In der Gemeinsamen Normdatei der DNB nachschlagen
Erschienen in
Journal of Optimization Theory and Applications, 2014, Jg. 162, H. 3, S. 779-804
ErschienenSpringer
SpracheEnglisch
DokumenttypAufsatz in einer Zeitschrift
Schlagwörter (EN)Shape derivative / shape Hessian / Cost functional
URNurn:nbn:at:at-ubg:3-555 Persistent Identifier (URN)
DOIdoi:10.1007/s10957-013-0520-4 
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 Das Werk ist frei verfügbar
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On computation of the shape Hessian of the cost functional without shape sensitivity of the state variable [1.62 mb]
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Zusammenfassung (Englisch)

A framework for calculating the shape Hessian for the domain optimizationproblem, with a partial differential equation as the constraint, is presented. First andsecond order approximations of the cost with respect to geometry perturbations arearranged in an efficient manner that allows the computation of the shape derivative andHessian of the cost without the necessity to involve the shape derivative of the statevariable. In doing so, the state and adjoint variables are only required to be Höldercontinuous with respect to geometry perturbations.

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