Solving elliptic control problems with interior point and SQP methods: Control and state constraints

DOI10.1016/S0377-0427(00)00309-5zbMath0959.65081OpenAlexW2059273886MaRDI QIDQ1578854

Helmut Maurer, Hans D. Mittelmann

Publication date: 22 November 2000

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(00)00309-5

zbMATH Keywords

optimal controlboundary controlsemilinear elliptic equationsnumerical examplesnonlinear programminginterior point methoddistributed controlbang-bang controls

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Numerical methods based on nonlinear programming (49M37) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (11)

Unnamed Item ⋮ Bezier Curve Parameterization Methods for Solving Optimal Control Problems of SIR Model ⋮ Inner solvers for interior point methods for large scale nonlinear programming ⋮ Fast interior point solution of quadratic programming problems arising from PDE-constrained optimization ⋮ Radial basis function networks simulation of age-structure population ⋮ Global convergence of the Newton interior-point method for nonlinear programming ⋮ Some iterative methods for the solution of a symmetric indefinite KKT system ⋮ A nonmonotone inexact Newton method ⋮ Primal-dual interior-point methods for PDE-constrained optimization ⋮ Numerical solution of KKT systems in PDE-constrained optimization problems via the affine scaling trust-region approach† ⋮ An inexact Newton method combined with Hestenes multipliers' scheme for the solution of Karush-Kuhn-Tucker systems

Uses Software

• BPMPD
• LANCELOT
• SNOPT
• AMPL
• MINOS
• Decision tree for optimization software

Cites Work

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• SNOPT: An SQP Algorithm for Large-Scale Constrained Optimization
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