A leapfrog semi-smooth Newton-multigrid method for semilinear parabolic optimal control problems
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Publication:5963310
DOI10.1007/s10589-015-9759-zzbMath1337.49050OpenAlexW252197264MaRDI QIDQ5963310
Publication date: 7 March 2016
Published in: Computational Optimization and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10589-015-9759-z
Newton-type methods (49M15) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25) Semilinear parabolic equations (35K58)
Related Items (8)
A leapfrog multigrid algorithm for the optimal control of parabolic PDEs with Robin boundary conditions ⋮ Optimal order multigrid preconditioners for the distributed control of parabolic equations with coarsening in space and time ⋮ BDF2 schemes for optimal parameter control problems governed by bilinear parabolic equations ⋮ Efficient time domain decomposition algorithms for parabolic PDE-constrained optimization problems ⋮ Optimal control problems for a semilinear evolution system with infinite delay ⋮ A conjugate gradient method for distributed optimal control problems with nonhomogeneous Helmholtz equation ⋮ A new multigrid method for unconstrained parabolic optimal control problems ⋮ Quasi-boundary value methods for regularizing the backward parabolic equation under the optimal control framework
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