Crank–Nicolson finite difference schemes for parabolic optimal Dirichlet boundary control problems

DOI10.1002/mma.8244zbMath1529.65049OpenAlexW4220847413MaRDI QIDQ6087598

Tong-jun Sun, Caijie Yang

Publication date: 12 December 2023

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.8244

zbMATH Keywords

optimal control problemsparabolic PDEsCrank-Nicolson finite difference methodDirichlet boundarymaximum norm errors

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Numerical methods based on necessary conditions (49M05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Discrete approximations in optimal control (49M25) Boundary element methods for boundary value problems involving PDEs (65N38) Boundary element methods for initial value and initial-boundary value problems involving PDEs (65M38) PDE constrained optimization (numerical aspects) (49M41)

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