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A priori and a posteriori error estimates of H1‐Galerkin mixed finite element method for parabolic optimal control problems

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Publication:4599853
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DOI10.1002/OCA.2312zbMath1386.49042OpenAlexW2594999371MaRDI QIDQ4599853

Pratibha Shakya, Rajen Kumar Sinha

Publication date: 5 January 2018

Published in: Optimal Control Applications and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/oca.2312


zbMATH Keywords

\(H^1\)-Galerkin mixed finite element methodparabolic optimal control problemsa priori and a posteriori error estimatesthe backward Euler fully discrete schemethe semidiscrete scheme


Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Discrete approximations in optimal control (49M25) PDEs in connection with control and optimization (35Q93)


Related Items (3)

A posteriori error analysis for finite element approximations of parabolic optimal control problems with measure data ⋮ Guaranteed lower bounds for cost functionals of time-periodic parabolic optimization problems ⋮ Error analysis for finite element approximation of parabolic Neumann boundary control problems







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