An interior point algorithm with inexact step computation in function space for state constrained optimal control
type: Item
instance of: scholarly article
title: An interior point algorithm with inexact step computation in function space for state constrained optimal control
zbMATH Open document ID: 1243.65072
author: Anton Schiela
author: Andreas Günther
published in: Numerische Mathematik
publication date: 2011-11-07T00:00:00Z
review text: This paper is concerned with optimal control problems governed by partial differential equations, subject to pointwise state constraints. An interior point method in function space is considered. The construction and analysis of an algorithm that integrates a Newton path-following method with adaptive grid refinement are made. A general result for the representation of the error in a suitable norm in function space is demonstrated. This leads to the definition of an a-posteriori error estimator for the error using the norm above. The overall construction of the algorithm is very well explained and analysed. Interesting numerical experiments are presented and analysed.
reviewed by: Viorel Arnăutu
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 90C51
Mathematics Subject Classification ID: 49M05
Mathematics Subject Classification ID: 49J20
Mathematics Subject Classification ID: 49M15
Mathematics Subject Classification ID: 49M37
zbMATH DE Number: 5968706
zbMATH Keywords: constrained optimal control problem
zbMATH Keywords: interior point algorithm
zbMATH Keywords: Newton path-following method
zbMATH Keywords: adaptive grid refinement
zbMATH Keywords: a-posteriori error estimator
zbMATH Keywords: numerical experiments
describes a project that uses: DUNE
describes a project that uses: PARDISO
describes a project that uses: NewtonLib
MaRDI profile type: Publication
full work available at URL: s00211-011-0381-4
OpenAlex ID: W1994229379
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DOI: 10.1007/S00211-011-0381-4
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