A Posteriori Error Analysis of Optimal Control Problems with Control Constraints

Kristina Kohls; Arnd Rösch; Kunibert G. Siebert

doi:10.1137/130909251

A Posteriori Error Analysis of Optimal Control Problems with Control Constraints

SIAM Journal on Control and Optimization ◽

10.1137/130909251 ◽

2014 ◽

Vol 52 (3) ◽

pp. 1832-1861 ◽

Cited By ~ 35

Author(s):

Kristina Kohls ◽

Arnd Rösch ◽

Kunibert G. Siebert

Keyword(s):

Optimal Control ◽

Error Analysis ◽

Optimal Control Problems ◽

Posteriori Error ◽

Control Problems ◽

Control Constraints ◽

A Posteriori ◽

A Posteriori Error Analysis ◽

A Posteriori Error ◽

Posteriori Error Analysis

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A posteriori error analysis for finite element approximations of parabolic optimal control problems with measure data

Applied Numerical Mathematics ◽

10.1016/j.apnum.2018.09.015 ◽

2019 ◽

Vol 136 ◽

pp. 23-45 ◽

Cited By ~ 1

Author(s):

Pratibha Shakya ◽

Rajen Kumar Sinha

Keyword(s):

Optimal Control Problems ◽

Posteriori Error ◽

Measure Data ◽

Control Problems ◽

A Posteriori ◽

A Posteriori Error Analysis ◽

A Posteriori Error ◽

Finite Element Approximations ◽

Posteriori Error Analysis ◽

Parabolic Optimal Control

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A-posteriori error estimates for optimal control problems with state and control constraints

Numerische Mathematik ◽

10.1007/s00211-011-0422-z ◽

2011 ◽

Vol 120 (4) ◽

pp. 733-762 ◽

Cited By ~ 25

Author(s):

Arnd Rösch ◽

Daniel Wachsmuth

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Control Problems ◽

Control Constraints ◽

A Posteriori ◽

A Posteriori Error ◽

And Control ◽

State And Control Constraints

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Residual-type a posteriori error analysis of HDG methods for Neumann boundary control problems

Advances in Computational Mathematics ◽

10.1007/s10444-021-09864-9 ◽

2021 ◽

Vol 47 (3) ◽

Author(s):

Haitao Leng ◽

Yanping Chen

Keyword(s):

Error Analysis ◽

Boundary Control ◽

Neumann Boundary ◽

Posteriori Error ◽

Control Problems ◽

A Posteriori ◽

A Posteriori Error Analysis ◽

A Posteriori Error ◽

Boundary Control Problems ◽

Posteriori Error Analysis

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An a posteriori error analysis for an optimal control problem involving the fractional Laplacian

IMA Journal of Numerical Analysis ◽

10.1093/imanum/drx005 ◽

2017 ◽

Vol 38 (1) ◽

pp. 198-226 ◽

Cited By ~ 5

Author(s):

Harbir Antil ◽

Enrique Otárola

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Error Analysis ◽

Control Problem ◽

Fractional Laplacian ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error Analysis ◽

A Posteriori Error ◽

Posteriori Error Analysis

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Space‐time a posteriori error analysis of finite element approximation for parabolic optimal control problems: A reconstruction approach

Optimal Control Applications and Methods ◽

10.1002/oca.2618 ◽

2020 ◽

Vol 41 (5) ◽

pp. 1543-1567

Author(s):

Ram Manohar ◽

Rajen Kumar Sinha

Keyword(s):

Optimal Control Problems ◽

Finite Element Approximation ◽

Posteriori Error ◽

Control Problems ◽

Element Approximation ◽

A Posteriori ◽

A Posteriori Error Analysis ◽

A Posteriori Error ◽

Posteriori Error Analysis ◽

Parabolic Optimal Control

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POD a-posteriori error analysis for optimal control problems with mixed control-state constraints

Computational Optimization and Applications ◽

10.1007/s10589-014-9636-1 ◽

2014 ◽

Vol 58 (3) ◽

pp. 619-644 ◽

Cited By ~ 6

Author(s):

Martin Gubisch ◽

Stefan Volkwein

Keyword(s):

State Constraints ◽

Optimal Control Problems ◽

Posteriori Error ◽

Control Problems ◽

A Posteriori ◽

A Posteriori Error Analysis ◽

A Posteriori Error ◽

Mixed Control ◽

Posteriori Error Analysis ◽

Control State

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A posteriori error analysis for the optimal control of magneto-static fields

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/2017008 ◽

2017 ◽

Vol 51 (6) ◽

pp. 2159-2191

Author(s):

Dirk Pauly ◽

Irwin Yousept

Keyword(s):

Optimal Control ◽

Error Analysis ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error Analysis ◽

A Posteriori Error ◽

Posteriori Error Analysis

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A posteriori error analysis of multiscale operator decomposition methods for multiphysics models

Journal of Physics Conference Series ◽

10.1088/1742-6596/125/1/012075 ◽

2008 ◽

Vol 125 ◽

pp. 012075 ◽

Cited By ~ 11

Author(s):

D Estep ◽

V Carey ◽

V Ginting ◽

S Tavener ◽

T Wildey

Keyword(s):

Error Analysis ◽

Posteriori Error ◽

Decomposition Methods ◽

A Posteriori ◽

A Posteriori Error Analysis ◽

A Posteriori Error ◽

Posteriori Error Analysis ◽

Operator Decomposition

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Discontinuous Galerkin methods on hp-anisotropic meshes II: a posteriori error analysis and adaptivity

Applied Numerical Mathematics ◽

10.1016/j.apnum.2008.12.008 ◽

2009 ◽

Vol 59 (9) ◽

pp. 2179-2194 ◽

Cited By ~ 24

Author(s):

Emmanuil H. Georgoulis ◽

Edward Hall ◽

Paul Houston

Keyword(s):

Error Analysis ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Posteriori Error ◽

Galerkin Methods ◽

A Posteriori ◽

A Posteriori Error Analysis ◽

A Posteriori Error ◽

Anisotropic Meshes ◽

Posteriori Error Analysis

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A posteriori error analysis for a continuous space-time finite element method for a hyperbolic integro-differential equation

BIT Numerical Mathematics ◽

10.1007/s10543-013-0424-6 ◽

2013 ◽

Vol 53 (3) ◽

pp. 689-716 ◽

Cited By ~ 2

Author(s):

Fardin Saedpanah

Keyword(s):

Differential Equation ◽

Finite Element Method ◽

Finite Element ◽

Error Analysis ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error Analysis ◽

A Posteriori Error ◽

Continuous Space ◽

Posteriori Error Analysis

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