scientific article

zbMath1342.35257MaRDI QIDQ2812234

Matthias Gerdts, Sven-Joachim Kimmerle

Publication date: 16 June 2016

Full work available at URL: http://www.yokohamapublishers.jp/online2/oppafa/vol1/p231.html

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

necessary optimality conditionsvehicle dynamicshyperbolic conservation lawsemi-smooth Newton methodcoupled ODE-PDE systemODE-PDE constrained optimizationSaint-Venant equationsadjoint optimal controlnumerical optimal control

Mathematics Subject Classification ID

Derivative-free methods and methods using generalized derivatives (90C56) Optimality conditions for problems involving partial differential equations (49K20) Numerical optimization and variational techniques (65K10) Optimality conditions and duality in mathematical programming (90C46) Newton-type methods (49M15) Nonsmooth analysis (49J52) Applications of optimal control and differential games (49N90) PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Existence theories for optimal control problems involving ordinary differential equations (49J15) Existence theories for optimal control problems involving partial differential equations (49J20) Optimality conditions for problems involving ordinary differential equations (49K15) Initial-boundary value problems for first-order hyperbolic equations (35L04)

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Optimal control of Hughes' model for pedestrian flow via local attraction ⋮ A study of structure-exploiting SQP algorithms for an optimal control problem with coupled hyperbolic and ordinary differential equation constraints ⋮ A priori error estimates for the space-time finite element discretization of an optimal control problem governed by a coupled linear PDE-ODE system ⋮ A Priori Error Estimates for the Finite Element Approximation of a Nonsmooth Optimal Control Problem Governed by a Coupled Semilinear PDE-ODE System

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