An ADMM numerical approach to linear parabolic state constrained optimal control problems
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Publication:2309515
DOI10.1007/s00211-020-01104-4zbMath1436.49042OpenAlexW3006137698MaRDI QIDQ2309515
Yongcun Song, Xiao-Ming Yuan, Roland Glowinski
Publication date: 1 April 2020
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00211-020-01104-4
Lagrange multiplieralternating direction method of multipliers (ADMM)linear parabolic state constrained optimal control problem
Numerical mathematical programming methods (65K05) Convex programming (90C25) Methods involving semicontinuity and convergence; relaxation (49J45) Linear optimal control problems (49N05)
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Sparse source identification of linear diffusion-advection equations by adjoint methods ⋮ An artificial neural network‐based method for the optimal control problem governed by the fractional parabolic equation ⋮ Error estimates of Fourier finite volume element method for parabolic Dirichlet boundary optimal control problems on complex connected domains ⋮ Alternating direction multiplier method to estimate an unknown source term in the time-fractional diffusion equation ⋮ A two-stage numerical approach for the sparse initial source identification of a diffusion–advection equation * ⋮ New regularity results and finite element error estimates for a class of parabolic optimal control problems with pointwise state constraints ⋮ Application of the Alternating Direction Method of Multipliers to Control Constrained Parabolic Optimal Control Problems and Beyond
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