On the Control of Time Discretized Dynamical Contact Problems

URN to cite this document: urn:nbn:de:bvb:703-epub-2731-1

Title data

Müller, Georg ; Schiela, Anton:
On the Control of Time Discretized Dynamical Contact Problems.
Bayreuth , 2016 . - 38 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 (Applied Mathematics) > Chair Applied Mathematics (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 (Applied Mathematics) Profile Fields Profile Fields > Advanced Fields
Language:	English
Originates at UBT:	Yes
URN:	urn:nbn:de:bvb:703-epub-2731-1
Date Deposited:	04 Feb 2016 11:57
Last Modified:	28 Mar 2019 10:39
URI:	https://epub.uni-bayreuth.de/id/eprint/2731

Available Versions of this Item

On the Control of Time Discretized Dynamical Contact Problems. (deposited 21 Oct 2015 09:40)
- On the Control of Time Discretized Dynamical Contact Problems. (deposited 04 Feb 2016 11:57) [Currently Displayed]
  - On the Control of Time Discretized Dynamic Contact Problems. (deposited 28 Feb 2017 08:03)