A Priori Error Analysis for Linear Quadratic Elliptic Neumann Boundary Control Problems with Control and State Constraints

K. Krumbiegel; C. Meyer; A. Rösch

doi:10.1137/090746148

A Priori Error Analysis for Linear Quadratic Elliptic Neumann Boundary Control Problems with Control and State Constraints

SIAM Journal on Control and Optimization ◽

10.1137/090746148 ◽

2010 ◽

Vol 48 (8) ◽

pp. 5108-5142 ◽

Cited By ~ 9

Author(s):

K. Krumbiegel ◽

C. Meyer ◽

A. Rösch

Keyword(s):

Error Analysis ◽

Boundary Control ◽

State Constraints ◽

A Priori ◽

Neumann Boundary ◽

Control Problems ◽

Linear Quadratic ◽

A Priori Error Analysis ◽

Boundary Control Problems ◽

Control And State Constraints

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A Priori Error Analysis for the Finite Element Approximation of Elliptic Dirichlet Boundary Control Problems

Numerical Mathematics and Advanced Applications ◽

10.1007/978-3-540-69777-0_76 ◽

2008 ◽

pp. 637-644 ◽

Cited By ~ 1

Author(s):

S. May ◽

R. Rannacher ◽

B. Vexler

Keyword(s):

Finite Element ◽

Error Analysis ◽

Boundary Control ◽

Dirichlet Boundary ◽

A Priori ◽

Finite Element Approximation ◽

Control Problems ◽

Element Approximation ◽

Dirichlet Boundary Control ◽

Boundary Control Problems

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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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Error estimates for the postprocessing approach applied to Neumann boundary control problems in polyhedral domains

IMA Journal of Numerical Analysis ◽

10.1093/imanum/drx059 ◽

2017 ◽

Vol 38 (4) ◽

pp. 1984-2025 ◽

Cited By ~ 2

Author(s):

Thomas Apel ◽

Max Winkler ◽

Johannes Pfefferer

Keyword(s):

Error Estimates ◽

Boundary Control ◽

Neumann Boundary ◽

Control Problems ◽

Boundary Control Problems

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A priori error analysis of the upwind symmetric interior penalty Galerkin (SIPG) method for the optimal control problems governed by unsteady convection diffusion equations

Computational Optimization and Applications ◽

10.1007/s10589-013-9601-4 ◽

2013 ◽

Vol 57 (3) ◽

pp. 703-729 ◽

Cited By ~ 7

Author(s):

Tuğba Akman ◽

Hamdullah Yücel ◽

Bülent Karasözen

Keyword(s):

Optimal Control ◽

Error Analysis ◽

Optimal Control Problems ◽

A Priori ◽

Diffusion Equations ◽

Control Problems ◽

Interior Penalty ◽

Convection Diffusion ◽

A Priori Error Analysis

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A Priori Error Analysis for Discretization of Sparse Elliptic Optimal Control Problems in Measure Space

SIAM Journal on Control and Optimization ◽

10.1137/120889137 ◽

2013 ◽

Vol 51 (4) ◽

pp. 2788-2808 ◽

Cited By ~ 27

Author(s):

Konstantin Pieper ◽

Boris Vexler

Keyword(s):

Optimal Control ◽

Error Analysis ◽

Measure Space ◽

Optimal Control Problems ◽

A Priori ◽

Control Problems ◽

A Priori Error Analysis ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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Source Representation Strategy for Optimal Boundary Control Problems with State Constraints

Zeitschrift für Analysis und ihre Anwendungen ◽

10.4171/zaa/1380 ◽

2009 ◽

pp. 189-203 ◽

Cited By ~ 2

Author(s):

F. Tröltzsch ◽

I. Yousept

Keyword(s):

Boundary Control ◽

State Constraints ◽

Control Problems ◽

Optimal Boundary ◽

Optimal Boundary Control ◽

Boundary Control Problems

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A regularization method for the numerical solution of elliptic boundary control problems with pointwise state constraints

Computational Optimization and Applications ◽

10.1007/s10589-007-9114-0 ◽

2007 ◽

Vol 42 (1) ◽

pp. 43-66 ◽

Cited By ~ 20

Author(s):

F. Tröltzsch ◽

I. Yousept

Keyword(s):

Numerical Solution ◽

Boundary Control ◽

Regularization Method ◽

State Constraints ◽

Elliptic Boundary ◽

Control Problems ◽

Pointwise State Constraints ◽

Boundary Control Problems

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Convex parabolic boundary control problems with pointwise state constraints

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(82)90165-2 ◽

1982 ◽

Vol 87 (1) ◽

pp. 256-277 ◽

Cited By ~ 29

Author(s):

Uwe Mackenroth

Keyword(s):

Boundary Control ◽

State Constraints ◽

Control Problems ◽

Parabolic Boundary ◽

Pointwise State Constraints ◽

Boundary Control Problems

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Hamilton–Jacobi Equations Arising from Boundary Control Problems with State Constraints

SIAM Journal on Control and Optimization ◽

10.1137/070683738 ◽

2008 ◽

Vol 47 (4) ◽

pp. 2157-2178 ◽

Cited By ~ 10

Author(s):

Silvia Faggian

Keyword(s):

Boundary Control ◽

State Constraints ◽

Control Problems ◽

Boundary Control Problems ◽

Jacobi Equations

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A priori error estimates and superconvergence of P02-P1 mixed finite element methods for elliptic boundary control problems

Сибирский журнал вычислительной математики ◽

10.15372/sjnm20210105 ◽

2021 ◽

Keyword(s):

Finite Element ◽

Error Estimates ◽

Boundary Control ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Elliptic Boundary ◽

A Priori ◽

Control Problems ◽

Boundary Control Problems ◽

Priori Error Estimates

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