Efficient Solvers for Time-Periodic Parabolic Optimal Control Problems Using Two-Sided Bounds of Cost Functionals
DOI10.1007/978-3-030-55874-1_120zbMath1478.49031OpenAlexW3158111783MaRDI QIDQ3379546
Publication date: 27 September 2021
Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-030-55874-1_120
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) Discrete approximations in optimal control (49M25) PDE constrained optimization (numerical aspects) (49M41)
Cites Work
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- A robust finite element solver for a multiharmonic parabolic optimal control problem
- On the robustness and optimality of algebraic multilevel methods for reaction-diffusion type problems
- Guaranteed lower bounds for cost functionals of time-periodic parabolic optimization problems
- A posteriori error estimates for approximate solutions of linear parabolic problems
- Functional a posteriori error estimates for parabolic time-periodic boundary value problems
- Estimates of deviations from exact solutions of initial-boundary value problem for the heat equation
- Functional A Posteriori Error Estimates for Time-Periodic Parabolic Optimal Control Problems
- A note on functional a posteriori estimates for elliptic optimal control problems
- Additive Schur Complement Approximation and Application to Multilevel Preconditioning
- Multiharmonic finite element analysis of a time-periodic parabolic optimal control problem
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