Analysis for the space-time a posteriori error estimates for mixed finite element solutions of parabolic optimal control problems

DOI10.1007/s11075-023-01669-9zbMATH Open1541.6511MaRDI QIDQ6543338

Pratibha Shakya, Rajen K. Sinha

Publication date: 24 May 2024

Published in: Numerical Algorithms (Search for Journal in Brave)

zbMATH Keywords

a posteriori error estimatesmixed finite element methodbackward-Euler methodvariational discretizationparabolic optimal control problems

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Existence theories for optimal control problems involving partial differential equations (49J20) Integro-partial differential equations (35R09)

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