A Direct Method for Parabolic PDE Constrained Optimization Problems

DOI10.1007/978-3-658-04476-3zbMath1293.49002OpenAlexW635090990MaRDI QIDQ2871622

Andreas Potschka

Publication date: 8 January 2014

Published in: Advances in Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-658-04476-3

zbMATH Keywords

optimizationnumerical experimentsautomatic differentiationoptimal control problemsPDE constraintsNewton-type iterationinexact SQP methodmultiple shooting methodlinear iterative splitting approachNewton-Picard preconditionerparametric active set method

Mathematics Subject Classification ID

Applications of mathematical programming (90C90) Nonlinear programming (90C30) Numerical optimization and variational techniques (65K10) Quadratic programming (90C20) Newton-type methods (49M15) Numerical methods based on nonlinear programming (49M37) Research exposition (monographs, survey articles) pertaining to operations research and mathematical programming (90-02) Methods of successive quadratic programming type (90C55) Research exposition (monographs, survey articles) pertaining to calculus of variations and optimal control (49-02) PDEs in connection with control and optimization (35Q93)

Related Items (5)

Newton--Picard Preconditioners for Time-Periodic Parabolic Optimal Control Problems ⋮ An SQP-based multiple shooting algorithm for large-scale PDE-constrained optimal control problems ⋮ A sequential homotopy method for mathematical programming problems ⋮ Backward Step Control for Global Newton-Type Methods ⋮ A Variational Approach for Physically Based Image Interpolation Across Boundaries

Uses Software

• MUSCOP

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