Space-time finite element approximation of parabolic optimal control problems

DOI10.1515/jnum-2012-0005zbMath1250.65083OpenAlexW2076257978MaRDI QIDQ2895882

Wei Gong, Michael Hinze, Zhaojie Zhou

Publication date: 13 July 2012

Published in: Journal of Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jnum-2012-0005

zbMATH Keywords

regularityweak solutionnumerical examplesmixed finite elementsa posteriori error estimatesbilinear formnumerical approximationa priori error estimatestwo-point boundary value problemsnumerical algorithmsspace-time finite elementsLax-Milgram theoremadjoint stateparabolic optimal control problems

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Duality theory (optimization) (49N15) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25)

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