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On the Control of Time Discretized Dynamical Contact Problems

URN to cite this document: urn:nbn:de:bvb:703-epub-2491-3

Title data

Müller, Georg ; Schiela, Anton:
On the Control of Time Discretized Dynamical Contact Problems.
University of Bayreuth, Germany , 2015 . - 37 S.

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Project information

Project title:
Project's official title
Project's id
BMBF-Projekt "Simulation des Abriebs von Knieimplantaten und Optimierung der Form zur patientengruppenspezifischen Abriebminimierung" (SOAK) - Teilprojekt 3
05M2013
Project financing: Bundesministerium für Bildung und Forschung

Abstract

We consider optimal control problems with distributed control that involve a time-stepping formulation of dynamical one body contact problems as constraints. We link the continuous and the time-stepping formulation by a nonconforming finite element discretization, and derive existence of optimal solutions and strong stationarity conditions. We use this information for a steepest descent type optimization scheme based on the resulting adjoint scheme and implement its numerical application.

Further data

Item Type: Preprint, postprint
Keywords: dynamic contact; optimal control; strong stationarity; time-discretization
Subject classification: AMS MSC 2000: 49J20, 49K20, 65K15, 74H15
DDC Subjects: 500 Science > 510 Mathematics
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics)
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Applied Mathematics > Chair Applied Mathematics - Univ.-Prof. Dr. Anton Schiela
Profile Fields > Advanced Fields > Nonlinear Dynamics
Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Applied Mathematics
Profile Fields
Profile Fields > Advanced Fields
Language: English
Originates at UBT: Yes
URN: urn:nbn:de:bvb:703-epub-2491-3
Date Deposited: 21 Oct 2015 09:40
Last Modified: 21 Oct 2015 09:40
URI: https://epub.uni-bayreuth.de/id/eprint/2491

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