Numerical approximation for a time optimal control problems governed by semi-linear heat equations

DOI10.1186/1687-1847-2014-94zbMath1343.35125OpenAlexW2164512964WikidataQ59323941 ScholiaQ59323941MaRDI QIDQ738418

Guojie Zheng, Jingben Yin

Publication date: 2 September 2016

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2014-94

zbMATH Keywords

heat equationfinite element methodsnumerical approximationtime optimal control

Mathematics Subject Classification ID

Heat equation (35K05) Existence theories for optimal control problems involving partial differential equations (49J20)

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Cites Work

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• Analysis and control of nonlinear infinite dimensional systems
• An Approach to the Optimal Time for a Time Optimal Control Problem of an Internally Controlled Heat Equation
• Finite Element Approximation of Parabolic Time Optimal Control Problems
• Error Estimates for Semidiscrete Finite Element Approximations of Linear and Semilinear Parabolic Equations Under Minimal Regularity Assumptions
• $L^\infty$-Null Controllability for the Heat Equation and Its Consequences for the Time Optimal Control Problem

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