Superlinear convergence of the control reduced interior point method for PDE constrained optimization

DOI10.1007/s10589-007-9057-5zbMath1181.90287OpenAlexW2107837483MaRDI QIDQ941805

Anton Schiela, Martin Weiser

Publication date: 2 September 2008

Published in: Computational Optimization and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10589-007-9057-5

zbMATH Keywords

Optimal controlInterior point methods in function space

Mathematics Subject Classification ID

Interior-point methods (90C51) Programming in abstract spaces (90C48)

Related Items (9)

An interior point method designed for solving linear quadratic optimal control problems withhpfinite elements ⋮ Preconditioners for Computing Multiple Solutions in Three-Dimensional Fluid Topology Optimization ⋮ An interior point algorithm with inexact step computation in function space for state constrained optimal control ⋮ Primal-dual interior-point methods for PDE-constrained optimization ⋮ Asymptotic expansions for interior penalty solutions of control constrained linear-quadratic problems ⋮ Adaptive finite element methods for mixed control-state constrained optimal control problems for elliptic boundary value problems ⋮ A control reduced primal interior point method for a class of control constrained optimal control problems ⋮ A PDE-constrained optimization approach for topology optimization of strained photonic devices ⋮ Computing Multiple Solutions of Topology Optimization Problems

Uses Software

• NewtonLib

Cites Work

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• Path-following Methods for a Class of Constrained Minimization Problems in Function Space
• Optimization techniques for solving elliptic control problems with control and state constraints. II: Distributed control

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