Error estimates for the discretization of elliptic control problems with pointwise control and state constraints

Computational Optimization and Applications ◽

10.1007/s10589-008-9186-5 ◽

2008 ◽

Vol 44 (1) ◽

pp. 27-55 ◽

Author(s):

S. Cherednichenko ◽

A. Rösch

Keyword(s):

Error Estimates ◽

State Constraints ◽

Control Problems ◽

Elliptic Control Problems ◽

Control And State Constraints

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Error Estimates for the Numerical Approximation of Semilinear Elliptic Control Problems with Finitely Many State Constraints

ESAIM Control Optimisation and Calculus of Variations ◽

10.1051/cocv:2002049 ◽

2002 ◽

Vol 8 ◽

pp. 345-374 ◽

Author(s):

Eduardo Casas

Keyword(s):

Error Estimates ◽

Numerical Approximation ◽

State Constraints ◽

Control Problems ◽

Semilinear Elliptic ◽

Elliptic Control Problems

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Error Estimates for the Regularization of Optimal Control Problems with Pointwise Control and State Constraints

Zeitschrift für Analysis und ihre Anwendungen ◽

10.4171/zaa/1351 ◽

2008 ◽

pp. 195-212 ◽

Author(s):

S. Cherednichenko ◽

A. Rösch

Keyword(s):

Optimal Control ◽

Error Estimates ◽

State Constraints ◽

Optimal Control Problems ◽

Control Problems ◽

Control And State Constraints

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Error estimates for parabolic optimal control problems with control and state constraints

Computational Optimization and Applications ◽

10.1007/s10589-013-9541-z ◽

2013 ◽

Vol 56 (1) ◽

pp. 131-151 ◽

Author(s):

Wei Gong ◽

Michael Hinze

Keyword(s):

Optimal Control ◽

Error Estimates ◽

State Constraints ◽

Optimal Control Problems ◽

Control Problems ◽

Control And State Constraints ◽

Parabolic Optimal Control

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Solving elliptic control problems with interior point and SQP methods: control and state constraints

Journal of Computational and Applied Mathematics ◽

10.1016/s0377-0427(00)00309-5 ◽

2000 ◽

Vol 120 (1-2) ◽

pp. 175-195 ◽

Author(s):

Hans D. Mittelmann ◽

Helmut Maurer

Keyword(s):

Interior Point ◽

State Constraints ◽

Control Problems ◽

Sqp Methods ◽

Elliptic Control Problems ◽

Control And State Constraints

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A Posteriori Error Representations for Elliptic Optimal Control Problems with Control and State Constraints

Constrained Optimization and Optimal Control for Partial Differential Equations ◽

10.1007/978-3-0348-0133-1_17 ◽

2011 ◽

pp. 303-317 ◽

Author(s):

Andreas Günther ◽

Michael Hinze ◽

Moulay Hicham Tber

Keyword(s):

Optimal Control ◽

State Constraints ◽

Optimal Control Problems ◽

Posteriori Error ◽

Control Problems ◽

A Posteriori ◽

A Posteriori Error ◽

Elliptic Optimal Control Problems ◽

Control And State Constraints ◽

Elliptic Optimal Control

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Error Estimates for the Numerical Approximation of Boundary Semilinear Elliptic Control Problems. Continuous Piecewise Linear Approximations

IFIP International Federation for Information Processing - Systems, Control, Modeling and Optimization ◽

10.1007/0-387-33882-9_9 ◽

2006 ◽

pp. 91-101 ◽

Author(s):

E. Casas ◽

M. Mateos

Keyword(s):

Error Estimates ◽

Numerical Approximation ◽

Piecewise Linear ◽

Control Problems ◽

Linear Approximations ◽

Semilinear Elliptic ◽

Elliptic Control Problems ◽

Piecewise Linear Approximations

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Superconvergence and a posteriori error estimates of RT1 mixed methods for elliptic control problems with an integral constraint

Numerical Analysis and Applications ◽

10.1134/s1995423913020080 ◽

2013 ◽

Vol 6 (2) ◽

pp. 163-175

Author(s):

T. Hou

Keyword(s):

Mixed Methods ◽

Error Estimates ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Control Problems ◽

Integral Constraint ◽

A Posteriori ◽

A Posteriori Error ◽

Elliptic Control Problems

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An adaptive numerical method for semi-infinite elliptic control problems based on error estimates

Optimization Methods and Software ◽

10.1080/10556788.2014.932789 ◽

2014 ◽

Vol 30 (3) ◽

pp. 492-515 ◽

Author(s):

Pedro Merino ◽

Ira Neitzel ◽

Fredi Tröltzsch

Keyword(s):

Numerical Method ◽

Error Estimates ◽

Control Problems ◽

Elliptic Control Problems ◽

Adaptive Numerical Method

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Preconditioned Conjugate Gradient Method for Optimal Control Problems with Control and State Constraints

SIAM Journal on Matrix Analysis and Applications ◽

10.1137/090779127 ◽

2010 ◽

Vol 31 (5) ◽

pp. 2291-2317 ◽

Author(s):

Roland Herzog ◽

Ekkehard Sachs

Keyword(s):

Optimal Control ◽

Conjugate Gradient Method ◽

Conjugate Gradient ◽

Gradient Method ◽

State Constraints ◽

Optimal Control Problems ◽

Preconditioned Conjugate Gradient Method ◽

Preconditioned Conjugate Gradient ◽

Control Problems ◽

Control And State Constraints

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Necessary and sufficient optimality conditions for elliptic control problems with finitely many pointwise state constraints

ESAIM Control Optimisation and Calculus of Variations ◽

10.1051/cocv:2007063 ◽

2007 ◽

Vol 14 (3) ◽

pp. 575-589 ◽

Author(s):

Eduardo Casas

Keyword(s):

Optimality Conditions ◽

State Constraints ◽

Control Problems ◽

Sufficient Optimality Conditions ◽

Pointwise State Constraints ◽

Elliptic Control Problems ◽

Necessary And Sufficient

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