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Schaller, Manuel ; Schiela, Anton ; Stöcklein, Matthias:
A Composite Step Method with Inexact Step Computations for PDE Constrained Optimization.
Bayreuth
,
2018
. - 29 S.
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Angaben zu Projekten
| Projekttitel: |
Offizieller Projekttitel Projekt-ID Specialized Adaptive Algorithms for Model Predictive Control of PDEs GR 1569/17-1 Specialized Adaptive Algorithms for Model Predictive Control of PDEs SCHI 1379/5-1 Optimal Control of Static Contact in Finite Strain Elasticity SCHI 1379/2-1 |
|---|---|
| Projektfinanzierung: |
Deutsche Forschungsgemeinschaft |
Abstract
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.