Sensitivity analysis of elliptic variational inequalities of the first and the second kind

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dc.contributor.advisorMeyer, Christian
dc.contributor.authorChristof, Constantin
dc.contributor.refereeBrokate, Martin
dc.date.accepted2018-07-16
dc.date.accessioned2018-07-25T05:27:59Z
dc.date.available2018-07-25T05:27:59Z
dc.date.issued2018
dc.description.abstractThis thesis is concerned with the differential sensitivity analysis of elliptic variational inequalities of the first and the second kind in finite and infinite dimensions. We develop a general theory that provides a sharp criterion for the Hadamard directional differentiability of the solution operator to an elliptic variational inequality and introduce several tools that facilitate the sensitivity analysis in practical applications. Our analysis is accompanied by examples from mechanics and fluid dynamics that illustrate the strengths and limitations of the obtained results. We further establish strong and Bouligand stationarity conditions for optimal control problems governed by elliptic variational inequalities in a general setting that covers, e.g., the situations where the control-to-state mapping is a metric projection or a non-smooth elliptic partial differential equation.en
dc.identifier.urihttp://hdl.handle.net/2003/37059
dc.identifier.urihttp://dx.doi.org/10.17877/DE290R-19056
dc.language.isoende
dc.subjectsensitivity analysisen
dc.subjectdirectional differentiabilityen
dc.subjectoptimal controlen
dc.subjectelliptic variational inequalitiesen
dc.subject.ddc510
dc.subject.rswkSensitivitätsanalysede
dc.subject.rswkOptimale Kontrollede
dc.subject.rswkElliptische Variationsungleichungde
dc.titleSensitivity analysis of elliptic variational inequalities of the first and the second kinden
dc.typeTextde
dc.type.publicationtypedoctoralThesisde
dcterms.accessRightsopen access
eldorado.secondarypublicationfalsede

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