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Applicable Analysis
An International Journal
Volume 90, 2011 - Issue 6: Variational Analysis and Related Topics
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Original Articles

On linear-quadratic elliptic control problems of semi-infinite type

Pedro Merino Departamento de Matemática Ladrón de Guevara, Escuela Politécnica Nacional, E11-253 Quito, Ecuador
,
Ira Neitzel Fakultät II - Mathematik und Naturwissenschaften, Technische Universität Berlin, Str. des 17. Juni 136, D-10623 Berlin, GermanyCorrespondence[email protected]
&
Fredi Tröltzsch Fakultät II - Mathematik und Naturwissenschaften, Technische Universität Berlin, Str. des 17. Juni 136, D-10623 Berlin, Germany
Pages 1047-1074 | Received 02 Feb 2010, Accepted 15 Apr 2010, Published online: 09 Sep 2010

Citations (11)

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Read on this site (2)

Akhtar A. Khan & Miguel Sama. (2023) Error estimates for halfspace regularization of state constrained multiobjective elliptic control problems. Optimization 72:4, pages 1009-1036.
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Pedro Merino, Ira Neitzel & Fredi Tröltzsch. (2015) An adaptive numerical method for semi-infinite elliptic control problems based on error estimates. Optimization Methods and Software 30:3, pages 492-515.
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Articles from other publishers (9)

Konstantin Pieper & Daniel Walter. (2021) Linear convergence of accelerated conditional gradient algorithms in spaces of measures. ESAIM: Control, Optimisation and Calculus of Variations 27, pages 38.
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Pedro Merino & Alexander Nenjer. (2020) Error estimates for the FEM approximation of optimal sparse control of elliptic equations with pointwise state constraints and finite‐dimensional control space. Optimal Control Applications and Methods 41:5, pages 1451-1476.
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Dmitriy Leykekhman, Boris Vexler & Daniel Walter. (2020) Numerical analysis of sparse initial data identification for parabolic problems. ESAIM: Mathematical Modelling and Numerical Analysis 54:4, pages 1139-1180.
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Eduardo S. Schultz, Ralf Hannemann-Tamás & Alexander Mitsos. (2020) Guaranteed satisfaction of inequality state constraints in PDE-constrained optimization. Automatica 111, pages 108653.
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I. Neitzel & W. Wollner. (2017) A priori $$L^2$$ L 2 -discretization error estimates for the state in elliptic optimization problems with pointwise inequality state constraints. Numerische Mathematik 138:2, pages 273-299.
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Mariano Mateos & Ira Neitzel. (2015) Dirichlet control of elliptic state constrained problems. Computational Optimization and Applications 63:3, pages 825-853.
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Ira Neitzel, Johannes Pfefferer & Arnd Rösch. (2015) Finite Element Discretization of State-Constrained Elliptic Optimal Control Problems with Semilinear State Equation. SIAM Journal on Control and Optimization 53:2, pages 874-904.
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Dmitriy Leykekhman, Dominik Meidner & Boris Vexler. (2013) Optimal error estimates for finite element discretization of elliptic optimal control problems with finitely many pointwise state constraints. Computational Optimization and Applications 55:3, pages 769-802.
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Ira Neitzel & Fredi Tröltzsch. 2012. Constrained Optimization and Optimal Control for Partial Differential Equations. Constrained Optimization and Optimal Control for Partial Differential Equations 467 482 .

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