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 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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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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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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Convergence of Finite Element Approximations to State Constrained Convex Parabolic Boundary Control Problems

SIAM Journal on Control and Optimization ◽

10.1137/0327038 ◽

1989 ◽

Vol 27 (4) ◽

pp. 718-736 ◽

Author(s):

Walter Alt ◽

Uwe Mackenroth

Keyword(s):

Finite Element ◽

Boundary Control ◽

Control Problems ◽

Parabolic Boundary ◽

Finite Element Approximations ◽

Boundary Control Problems

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Analysis and finite element approximation of optimal control problems for the stationary Navier-Stokes equations with distributed and Neumann controls

Mathematics of Computation ◽

10.1090/s0025-5718-1991-1079020-5 ◽

1991 ◽

Vol 57 (195) ◽

pp. 123-123 ◽

Author(s):

M. D. Gunzburger ◽

L. Hou ◽

T. P. Svobodny

Keyword(s):

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

Stokes Equations ◽

Finite Element Approximation ◽

Navier Stokes ◽

Control Problems ◽

Element Approximation ◽

Navier Stokes Equations ◽

Stationary Navier Stokes Equations

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Finite element approximation of time optimal control problems for parabolic equations with Dirichelt boundary conditions

System Modeling and Optimization - Lecture Notes in Control and Information Sciences ◽

10.1007/bfb0006155 ◽

2005 ◽

pp. 354-361

Author(s):

Irena Lasiecka

Keyword(s):

Optimal Control ◽

Finite Element ◽

Boundary Conditions ◽

Parabolic Equations ◽

Optimal Control Problems ◽

Finite Element Approximation ◽

Time Optimal Control ◽

Control Problems ◽

Element Approximation ◽

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Numerical solution of some parabolic boundary control problems by finite elements

Control Problems for Systems Described by Partial Differential Equations and Applications - Lecture Notes in Control and Information Sciences ◽

10.1007/bfb0038765 ◽

2006 ◽

pp. 325-335 ◽

Author(s):

U. Mackenroth

Keyword(s):

Finite Elements ◽

Numerical Solution ◽

Boundary Control ◽

Control Problems ◽

Parabolic Boundary ◽

Boundary Control Problems

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Two‐grid methods for – P 1 mixed finite element approximation of general elliptic optimal control problems with low regularity

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22471 ◽

2020 ◽

Vol 36 (5) ◽

pp. 1184-1202

Author(s):

Tianliang Hou ◽

Haitao Leng ◽

Tian Luan

Keyword(s):

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

Mixed Finite Element ◽

Finite Element Approximation ◽

Control Problems ◽

Element Approximation ◽

General Elliptic ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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Semidiscrete finite element approximation of time optimal control problems for semilinear heat equations with nonsmooth initial data

Systems & Control Letters ◽

10.1016/j.sysconle.2018.04.009 ◽

2018 ◽

Vol 116 ◽

pp. 32-40 ◽

Author(s):

Jingfang Huang ◽

Xin Yu ◽

Kangsheng Liu

Keyword(s):

Optimal Control ◽

Finite Element ◽

Initial Data ◽

Optimal Control Problems ◽

Finite Element Approximation ◽

Control Problems ◽

Heat Equations ◽

Element Approximation ◽

Time Optimal ◽

Nonsmooth Initial Data

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