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Projection type methods in Banach space with application in topology optimization

Rupprecht, Christoph (2016) Projection type methods in Banach space with application in topology optimization. PhD, Universität Regensburg.

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Date of publication of this fulltext: 25 Apr 2016 11:26

Abstract (English)

This thesis proposes a generalization of the projected gradient method with variable metric to an abstract Banach space setting. The motivation is the increasing interest in optimization problems posed in a Banach space and the current lack of general, globally convergent optimization methods therefor. Global convergence of the new variable metric projection type (VMPT) method is shown by ...

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Translation of the abstract (German)

Eine verallgemeinerung des projizierten Gradientenverfahrens mit variabler Metrik auf ein abstraktes Banachraum Framework wird behandelt. Globale Konvergenz des neuen Verfahrens wird gezeigt, wobei zwei verschiedene Normen in die Voraussetzungen eingehen. Viele Aspekte werden diskutiert, z.B. verschiedene Globalisierungsstrategien und die Einbeziehung von Informationen zweiter Ordnung, welche zu ...

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Item type:Thesis of the University of Regensburg (PhD)
Date:25 April 2016
Referee:Prof. Dr. Luise Blank and Prof. Dr. Michael Hinze
Date of exam:14 April 2016
Institutions:Mathematics > Prof. Dr. Luise Blank
Keywords:variable metric methods, projected gradient method, global convergence, abstract convergence analysis, optimization in Banach space, topology optimization, phase field model
Dewey Decimal Classification:500 Science > 510 Mathematics
Status:Published
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:Yes
Item ID:33715
Owner only: item control page

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