Solving elliptic control problems with interior point and SQP methods: Control and state constraints
type: Item
instance of: scholarly article
title: Solving elliptic control problems with interior point and SQP methods: Control and state constraints
zbMATH Open document ID: 0959.65081
DOI: 10.1016/S0377-0427(00)00309-5
author: Hans D. Mittelmann
author: Helmut Maurer
published in: Journal of Computational and Applied Mathematics
publication date: 2000-11-22T00:00:00Z
review text: The authors consider optimal control problems for semilinear elliptic equations subject to control and state inequality constraints. Both boundary control and distributed control problems are considered with boundary conditions of Dirichlet or Neumann type. By introducing suitable discretization schemes, the control problem is transcribed into a nonlinear programming problem. It is proved that the interior point method is capable to solve these problems even with high discretizations. Numerical examples including bang-bang controls are treated in this paper.
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 49J20
Mathematics Subject Classification ID: 49J30
Mathematics Subject Classification ID: 49M37
zbMATH DE Number: 1501743
zbMATH Keywords: numerical examples
zbMATH Keywords: optimal control
zbMATH Keywords: semilinear elliptic equations
zbMATH Keywords: boundary control
zbMATH Keywords: distributed control
zbMATH Keywords: nonlinear programming
zbMATH Keywords: interior point method
zbMATH Keywords: bang-bang controls
reviewed by: Yves Cherruault
describes a project that uses: LANCELOT
describes a project that uses: AMPL
describes a project that uses: BPMPD
describes a project that uses: SNOPT
describes a project that uses: MINOS
describes a project that uses: Decision tree for optimization software
MaRDI profile type: Publication
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full work available at URL: s0377-0427(00)00309-5
OpenAlex ID: W2059273886
description: scientific article; zbMATH DE number 1501743