A study of structure-exploiting SQP algorithms for an optimal control problem with coupled hyperbolic and ordinary differential equation constraints

DOI10.3934/dcdss.2018071zbMath1407.49045OpenAlexW2807604221WikidataQ129699883 ScholiaQ129699883MaRDI QIDQ1713287

Sven-Joachim Kimmerle, Matthias Gerdts, Philip E. Gill, Jan-Hendrik Webert

Publication date: 24 January 2019

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2018071

zbMATH Keywords

shallow water equationsLax-Friedrichs schemehyperbolic conservation lawSQP methodSaint-Venant equationsfully coupled ODE-PDE systemlimited-memory-BFGS methodODE-PDE constrained optimisation

Mathematics Subject Classification ID

Methods of quasi-Newton type (90C53) Applications of optimal control and differential games (49N90) PDEs in connection with fluid mechanics (35Q35) Control problems involving ordinary differential equations (34H05) Existence theories for optimal control problems involving ordinary differential equations (49J15) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25) Methods of successive quadratic programming type (90C55) Initial-boundary value problems for first-order hyperbolic equations (35L04)

Related Items (1)

Substructure exploitation of a nonsmooth Newton method for large-scale optimal control problems with full discretization

Uses Software

• MA57
• SNOPT
• L-BFGS

Cites Work

• Unnamed Item
• Unnamed Item
• Numerical optimal control of a coupled ODE-PDE model of a truck with a fluid basin
• On the limited memory BFGS method for large scale optimization
• Linear and nonlinear programming.
• Representations of quasi-Newton matrices and their use in limited memory methods
• Inertia-controlling factorizations for optimization algorithms
• Methods for convex and general quadratic programming
• Practical Methods for Optimal Control and Estimation Using Nonlinear Programming
• Dynamics and solutions to some control problems for water-tank systems
• The correct use of the Lax–Friedrichs method
• MA57---a code for the solution of sparse symmetric definite and indefinite systems

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