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Title
An active-set equality constrained Newton solver with feasibility restoration for inverse coefficient problems in elliptic variational inequalities
AuthorHintermüller, Michael In der Gemeinsamen Normdatei der DNB nachschlagen
Published in
Inverse Problems, Bristol [u.a.], 2008, Vol. 24, Issue 3
PublishedIOP
LanguageEnglish
Document typeJournal Article
Keywords (GND)Zwei-Ebenen-Optimierung / Optimale Kontrolle / Variationsungleichung / Online-Publikation
ISSN1361-6420
URNurn:nbn:at:at-ubg:3-1056 Persistent Identifier (URN)
DOIdoi:10.1088/0266-5611/24/3/034017 
Restriction-Information
 The work is publicly available
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Abstract (English)

An output-least-squares formulation for a class of parameter identification problems for elliptic variational inequalities is considered. Based on the concept of C-stationarity an active set type solver with feasibility restoration is introduced. It is shown that the new method relates to the so-called implicit programming techniques in the context of mathematical programs with equilibrium constraints. In the discrete setting, in order to overcome the ill-posedness of the problem, the parameter of interest is discretized on a coarser mesh than the state of the system. In addition, if the parameter corresponds to the coefficient in the bilinear form of the underlying differential operator, an interior-point treatment is employed to maintain the coercivity of the elliptic operator. Moreover, the computational domain for the coefficient depends on the measurement data. The paper ends with a report on numerical tests including an application to a simplified lubrication problem in a rolling element device.

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