Boundary control of parabolic systems: Finite-element approximation

Irena Lasiecka

doi:10.1007/bf01442882

Boundary control of parabolic systems: Finite-element approximation

Applied Mathematics & Optimization ◽

10.1007/bf01442882 ◽

1980 ◽

Vol 6 (1) ◽

pp. 31-62 ◽

Cited By ~ 22

Author(s):

Irena Lasiecka

Keyword(s):

Finite Element ◽

Boundary Control ◽

Finite Element Approximation ◽

Parabolic Systems ◽

Element Approximation

Download Full-text

Finite element approximation of the nonlinear Kirchhoff string with boundary control

Proceedings of the 33rd Chinese Control Conference ◽

10.1109/chicc.2014.6897060 ◽

2014 ◽

Author(s):

Yuhu Wu ◽

Tielong Shen

Keyword(s):

Finite Element ◽

Boundary Control ◽

Finite Element Approximation ◽

Element Approximation

Download Full-text

On gradient-type optimization method utilizing mixed finite element approximation for optimal boundary control problem governed by bi-harmonic equation

Applied Mathematics and Computation ◽

10.1016/j.amc.2006.07.142 ◽

2007 ◽

Vol 186 (2) ◽

pp. 1429-1440 ◽

Cited By ~ 2

Author(s):

Li Bingjie ◽

Liu Sanyang

Keyword(s):

Finite Element ◽

Control Problem ◽

Boundary Control ◽

Mixed Finite Element ◽

Finite Element Approximation ◽

Optimization Method ◽

Element Approximation ◽

Boundary Control Problem ◽

Gradient Type ◽

Harmonic Equation

Download Full-text

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

Download Full-text

Finite Element Approximation of Dirichlet Boundary Control for Elliptic PDEs on Two- and Three-Dimensional Curved Domains

SIAM Journal on Control and Optimization ◽

10.1137/080735369 ◽

2009 ◽

Vol 48 (4) ◽

pp. 2798-2819 ◽

Cited By ~ 46

Author(s):

Klaus Deckelnick ◽

Andreas Günther ◽

Michael Hinze

Keyword(s):

Finite Element ◽

Boundary Control ◽

Dirichlet Boundary ◽

Three Dimensional ◽

Finite Element Approximation ◽

Elliptic Pdes ◽

Element Approximation ◽

Dirichlet Boundary Control ◽

Curved Domains

Download Full-text

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

Download Full-text

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 ◽

Cited By ~ 10

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

Download Full-text

On the finite element approximation of the boundary control for two-phase stefan problems

Analysis and Optimization of Systems - Lecture Notes in Control and Information Sciences ◽

10.1007/bfb0004966 ◽

2005 ◽

pp. 356-370 ◽

Cited By ~ 3

Author(s):

P. Neittaanmäki ◽

D. Tiba

Keyword(s):

Finite Element ◽

Boundary Control ◽

Finite Element Approximation ◽

Element Approximation ◽

Two Phase ◽

Stefan Problems

Download Full-text

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 ◽

Cited By ~ 36

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

Download Full-text

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 ◽

Cited By ~ 1

Author(s):

Fredi Tröltzsch

Keyword(s):

Finite Element ◽

Boundary Control ◽

Finite Element Approximation ◽

Control Problems ◽

Element Approximation ◽

Parabolic Boundary ◽

Boundary Control Problems

Download Full-text

Finite Element Approximation of Large Air Pollution Problems. I. Advection.

10.21236/ada294324 ◽

1995 ◽

Author(s):

Francis X. Giraldo ◽

Beny Neta

Keyword(s):

Air Pollution ◽

Finite Element ◽

Finite Element Approximation ◽

Element Approximation

Download Full-text