Numerical optimal control of the wave equation: Optimal boundary control of a string to rest in finite time
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Publication:1010018
DOI10.1016/j.matcom.2008.02.014zbMath1162.65358OpenAlexW2134431133MaRDI QIDQ1010018
Matthias Gerdts, Günter Greif, Hans Josef Pesch
Publication date: 3 April 2009
Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matcom.2008.02.014
optimal controlwave equationnumerical examplesfinite differenceshyperbolic equationdiscretization methodnonlinear programming problem
Numerical optimization and variational techniques (65K10) Numerical methods based on nonlinear programming (49M37) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25)
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Cites Work
- Modeling, analysis and control of dynamic elastic multi-link structures
- Domain decomposition of optimal control problems for dynamic networks of elastic strings
- Analytic solutions of \(L^{\infty}\) optimal control problems for the wave equation
- Solutions of \(L^p\)-norm-minimal control problems for the wave equation
- Wave propagation, observation and control in 1-\(d\) flexible multi-structures.
- Optimal boundary control of a string to rest in finite time with continuous state
- A Sensitivity and Adjoint Calculus for Discontinuous Solutions of Hyperbolic Conservation Laws with Source Terms
- Dynamic Domain Decomposition in Approximate and Exact Boundary Control in Problems of Transmission for Wave Equations
- Lp-Optimal Boundary Control for the Wave Equation
- Propagation, Observation, and Control of Waves Approximated by Finite Difference Methods
- Suboptimal control of a 2D molten carbonate fuel cell PDAE model
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