Error estimates for the finite element approximation of bilinear boundary control problems

Computational Optimization and Applications ◽

10.1007/s10589-020-00171-5 ◽

2020 ◽

Vol 76 (1) ◽

pp. 155-199

Author(s):

Max Winkler

Keyword(s):

Finite Element ◽

Error Estimates ◽

Boundary Control ◽

Finite Element Approximation ◽

Control Problems ◽

Element Approximation ◽

Boundary Control Problems

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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 ◽

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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FINITE ELEMENT APPROXIMATION AND COMPUTATIONS OF OPTIMAL DIRICHLET BOUNDARY CONTROL PROBLEMS FOR THE BOUSSINESQ EQUATIONS

Journal of the Korean Mathematical Society ◽

10.4134/jkms.2004.41.4.681 ◽

2004 ◽

Vol 41 (4) ◽

pp. 681-715 ◽

Author(s):

Hyung-Chun Lee ◽

Soo-Hyun Kim

Keyword(s):

Finite Element ◽

Boundary Control ◽

Dirichlet Boundary ◽

Boussinesq Equations ◽

Finite Element Approximation ◽

Control Problems ◽

Element Approximation ◽

Dirichlet Boundary Control ◽

Boundary Control Problems

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Error Analysis for a Finite Element Approximation of Elliptic Dirichlet Boundary Control Problems

SIAM Journal on Control and Optimization ◽

10.1137/080735734 ◽

2013 ◽

Vol 51 (3) ◽

pp. 2585-2611 ◽

Author(s):

S. May ◽

R. Rannacher ◽

B. Vexler

Keyword(s):

Finite Element ◽

Error Analysis ◽

Boundary Control ◽

Dirichlet Boundary ◽

Finite Element Approximation ◽

Control Problems ◽

Element Approximation ◽

Dirichlet Boundary Control ◽

Boundary Control Problems

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Semidiscrete Finite Element Approximation of Parabolic Boundary Control Problems — Convergence of Switching Points

Optimal Control of Partial Differential Equations II: Theory and Applications ◽

10.1007/978-3-0348-7627-8_13 ◽

1987 ◽

pp. 219-232 ◽

Author(s):

Fredi Tröltzsch

Keyword(s):

Finite Element ◽

Boundary Control ◽

Finite Element Approximation ◽

Control Problems ◽

Element Approximation ◽

Parabolic Boundary ◽

Boundary Control Problems

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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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Finite element error estimates for Neumann boundary control problems on graded meshes

Computational Optimization and Applications ◽

10.1007/s10589-011-9427-x ◽

2011 ◽

Vol 52 (1) ◽

pp. 3-28 ◽

Author(s):

Thomas Apel ◽

Johannes Pfefferer ◽

Arnd Rösch

Keyword(s):

Finite Element ◽

Error Estimates ◽

Boundary Control ◽

Neumann Boundary ◽

Control Problems ◽

Boundary Control Problems ◽

Graded Meshes ◽

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A Priori Error Estimates and Superconvergence of P02–P1 Mixed Finite Element Methods for Elliptic Boundary Control Problems

Numerical Analysis and Applications ◽

10.1134/s1995423921010055 ◽

2021 ◽

Vol 14 (1) ◽

pp. 55-68

Author(s):

Ch. Xu

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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Robust error estimates for the finite element approximation of elliptic optimal control problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2011.09.001 ◽

2011 ◽

Vol 236 (6) ◽

pp. 1370-1381 ◽

Author(s):

Wei Gong ◽

Ningning Yan

Keyword(s):

Optimal Control ◽

Finite Element ◽

Error Estimates ◽

Optimal Control Problems ◽

Finite Element Approximation ◽

Control Problems ◽

Element Approximation ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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Error Estimates for Sparse Optimal Control Problems by Piecewise Linear Finite Element Approximation

Journal of Computational Mathematics ◽

10.4208/jcm.2003-m2017-0213 ◽

2021 ◽

Vol 39 (3) ◽

pp. 471-492

Author(s):

Xiaoliang Song

Keyword(s):

Optimal Control ◽

Finite Element ◽

Error Estimates ◽

Optimal Control Problems ◽

Piecewise Linear ◽

Finite Element Approximation ◽

Control Problems ◽

Element Approximation ◽

Linear Finite Element ◽

Sparse Optimal Control

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A posteriori error estimates for adaptive finite element discretizations of boundary control problems

Journal of Numerical Mathematics ◽

10.1163/156939506776382139 ◽

2006 ◽

Vol 14 (1) ◽

pp. 57-82 ◽

Author(s):

R. H. W. Hoppe ◽

Y. Iliash ◽

C. Iyyunni ◽

N. H. Sweilam

Keyword(s):

Finite Element ◽

Error Estimates ◽

Boundary Control ◽

Control Problems ◽

Adaptive Finite Element ◽

A Posteriori ◽

Boundary Control Problems ◽

Finite Element Discretizations ◽

Element Discretizations

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