Title data
Schaller, Manuel ; Schiela, Anton ; Stöcklein, Matthias:
A Composite Step Method with Inexact Step Computations for PDE Constrained Optimization.
Bayreuth
,
2018
.  29 p.
Official URL:
Project information
Project title: 
Project's official title  Project's id 

Specialized Adaptive Algorithms for Model Predictive Control of PDEs  GR 1569/171  Specialized Adaptive Algorithms for Model Predictive Control of PDEs  SCHI 1379/51  Optimal Control of Static Contact in Finite Strain Elasticity  SCHI 1379/21 

Project financing: 
Deutsche Forschungsgemeinschaft

Abstract in another language
We consider a composite step algorithm for equality constrained optimization problems. The arising linear systems are inexactly solved with a conjugate gradient method using a constraint preconditioner. The influence of the error on the damping parameters of the underlying Newton scheme and algorithmic parameters is discussed and specialized termination criteria for the conjugate gradient method are given. Application to optimal control of a quasilinear heat equation and nonlinear elasticity illustrates the numerical performance of the resulting algorithm.
Further data
Item Type: 
Preprint, postprint, working paper, discussion paper

Additional notes: 
Preprint Number SPP1962098

Keywords: 
optimization with PDEs; cubic regularization; affine covariance; composite step methods; nonlinear elasticity

Subject classification: 
Mathematics Subject Classification Code: 49M37, 90C55, 90C06

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 Mathematics V (Applied Mathematics) > Chair Mathematics V (Applied Mathematics)  Univ.Prof. Dr. Lars Grüne) 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 
Result of work at the UBT: 
Yes 
DDC Subjects: 
500 Science > 510 Mathematics 
Date Deposited: 
05 Nov 2018 07:42 
Last Modified: 
14 Mar 2019 14:18 
URI: 
https://eref.unibayreuth.de/id/eprint/46227 