Quasi-optimality of an Adaptive Finite Element Method for an Optimal Control Problem

DOI10.2478/cmam-2011-0006zbMath1283.49004OpenAlexW1979738955MaRDI QIDQ5403442

Shipeng Mao, Roland Becker

Publication date: 26 March 2014

Published in: Computational Methods in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/cmam-2011-0006

zbMATH Keywords

optimal controlcomplexity estimatesadaptive finite elementsconvergence of adaptive algorithms

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Newton-type methods (49M15) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Linear-quadratic optimal control problems (49N10) Existence theories for optimal control problems involving partial differential equations (49J20)

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