The dual weighted residuals approach to optimal control of ordinary differential equations

DOI10.1007/S10543-010-0270-8zbMath1251.65094OpenAlexW2023962979WikidataQ59593884 ScholiaQ59593884MaRDI QIDQ1960207

Stig Larsson, Karin Kraft

Publication date: 13 October 2010

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://research.chalmers.se/en/publication/126527

zbMATH Keywords

finite elementadaptive algorithmdifferential-algebraic equationerror estimateboundary value problemvehicle dynamicsoptimal control problemdual weighted residuala posteriori

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Control of mechanical systems (70Q05) Existence theories for optimal control problems involving ordinary differential equations (49J15) Numerical methods for differential-algebraic equations (65L80) Discrete approximations in optimal control (49M25)

Related Items (1)

An Error Estimate for Symplectic Euler Approximation of Optimal Control Problems

Uses Software

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Cites Work

• An optimal control approach to a posteriori error estimation in finite element methods
• Computational Error Estimation and Adaptive Error Control for a Finite Element Solution of Launch Vehicle Trajectory Problems
• Adaptive Space‐Time Finite Element Methods for Parabolic Optimization Problems
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