Multigrid Solution of a Lavrentiev-Regularized State-Constrained Parabolic Control Problem

DOI10.4208/nmtma.2011.m12si01zbMath1265.65121OpenAlexW4238719544MaRDI QIDQ4900832

Sergio González-Andrade, Alfio Borzì

Publication date: 24 January 2013

Published in: Numerical Mathematics: Theory, Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/nmtma.2011.m12si01

zbMATH Keywords

numerical experimentsmultigrid methodsLavrentiev regularizationparabolic optimal control problemlocal semismooth Newton iteration

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Newton-type methods (49M15) Decomposition methods (49M27) Existence theories for optimal control problems involving partial differential equations (49J20) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

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A leapfrog multigrid algorithm for the optimal control of parabolic PDEs with Robin boundary conditions ⋮ A space-time variational method for optimal control problems: well-posedness, stability and numerical solution ⋮ Optimal control of measure dynamics ⋮ A new multigrid method for unconstrained parabolic optimal control problems ⋮ A leapfrog semi-smooth Newton-multigrid method for semilinear parabolic optimal control problems ⋮ Second-order approximation and fast multigrid solution of parabolic bilinear optimization problems

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