ANALYSIS AND COMPUTATIONS OF LEAST-SQUARES METHOD FOR OPTIMAL CONTROL PROBLEMS FOR THE STOKES EQUATIONS

Journal of the Korean Mathematical Society ◽

10.4134/jkms.2009.46.5.1007 ◽

2009 ◽

Vol 46 (5) ◽

pp. 1007-1025 ◽

Author(s):

Young-Mi Choi ◽

Sang-Dong Kim ◽

Hyung-Chun Lee

Keyword(s):

Optimal Control ◽

Least Squares ◽

Optimal Control Problems ◽

Stokes Equations ◽

Least Squares Method ◽

Control Problems

Download Full-text

A penalty/least-squares method for optimal control problems for first-order elliptic systems

Applied Mathematics and Computation ◽

10.1016/s0096-3003(99)00010-7 ◽

2000 ◽

Vol 107 (1) ◽

pp. 57-75 ◽

Author(s):

Max D. Gunzburger ◽

Hyung-Chun Lee

Keyword(s):

Optimal Control ◽

Least Squares ◽

Optimal Control Problems ◽

Least Squares Method ◽

Elliptic Systems ◽

Control Problems ◽

Download Full-text

A least-squares/penalty method for distributed optimal control problems for Stokes equations

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2007.01.009 ◽

2007 ◽

Vol 53 (11) ◽

pp. 1672-1685 ◽

Author(s):

Youngmi Choi ◽

Hyung-Chun Lee ◽

Byeong-Chun Shin

Keyword(s):

Optimal Control ◽

Least Squares ◽

Penalty Method ◽

Optimal Control Problems ◽

Stokes Equations ◽

Control Problems ◽

Distributed Optimal Control ◽

Distributed Optimal Control Problems

Download Full-text

A Least-Squares Method for Optimal Control Problems for a Second-Order Elliptic System in Two Dimensions

Journal of Mathematical Analysis and Applications ◽

10.1006/jmaa.1999.6658 ◽

2000 ◽

Vol 242 (1) ◽

pp. 105-128 ◽

Author(s):

Hyung-Chun Lee ◽

Youngmi Choi

Keyword(s):

Optimal Control ◽

Least Squares ◽

Elliptic System ◽

Optimal Control Problems ◽

Least Squares Method ◽

Two Dimensions ◽

Second Order ◽

Control Problems ◽

Order Elliptic System

Download Full-text

Second-Order Optimality Conditions and Solution Stability to Optimal Control Problems Governed by Stationary Navier-Stokes Equations

Acta Mathematica Vietnamica ◽

10.1007/s40306-018-00304-3 ◽

2018 ◽

Vol 44 (2) ◽

pp. 431-448 ◽

Author(s):

Bui Trong Kien

Keyword(s):

Optimal Control ◽

Optimality Conditions ◽

Optimal Control Problems ◽

Stokes Equations ◽

Navier Stokes ◽

Control Problems ◽

Solution Stability ◽

Navier Stokes Equations ◽

Second Order Optimality Conditions ◽

Stationary Navier Stokes Equations

Download Full-text

FINITE ELEMENT APPROXIMATIONS OF THE OPTIMAL CONTROL PROBLEMS FOR STOCHASTIC STOKES EQUATIONS

Bulletin of the Korean Mathematical Society ◽

10.4134/bkms.2014.51.3.847 ◽

2014 ◽

Vol 51 (3) ◽

pp. 847-862

Author(s):

Youngmi Choi ◽

Soohyun Kim ◽

Hyung-Chun Lee

Keyword(s):

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

Stokes Equations ◽

Control Problems ◽

Finite Element Approximations

Download Full-text

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

Download Full-text

An efficient algorithm for stochastic optimal control problems by means of a least-squares Monte-Carlo method

Optimization ◽

10.1080/02331934.2021.2009824 ◽

2021 ◽

pp. 1-14

Author(s):

Hacer Öz Bakan ◽

Fikriye Yilmaz ◽

Gerhard-Wilhelm Weber

Keyword(s):

Optimal Control ◽

Monte Carlo ◽

Monte Carlo Method ◽

Least Squares ◽

Stochastic Optimal Control ◽

Efficient Algorithm ◽

Optimal Control Problems ◽

Control Problems ◽

Least Squares Monte Carlo

Download Full-text

Moving least-squares approximations for linearly-solvable stochastic optimal control problems

Journal of Control Theory and Applications ◽

10.1007/s11768-011-0275-0 ◽

2011 ◽

Vol 9 (3) ◽

pp. 451-463 ◽

Author(s):

Mingyuan Zhong ◽

Emanuel Todorov

Keyword(s):

Optimal Control ◽

Least Squares ◽

Stochastic Optimal Control ◽

Optimal Control Problems ◽

Moving Least Squares ◽

Control Problems

Download Full-text

Multilevel and weighted reduced basis method for stochastic optimal control problems constrained by Stokes equations

Numerische Mathematik ◽

10.1007/s00211-015-0743-4 ◽

2015 ◽

Vol 133 (1) ◽

pp. 67-102 ◽

Author(s):

Peng Chen ◽

Alfio Quarteroni ◽

Gianluigi Rozza

Keyword(s):

Optimal Control ◽

Stochastic Optimal Control ◽

Optimal Control Problems ◽

Stokes Equations ◽

Reduced Basis Method ◽

Control Problems ◽

Reduced Basis ◽

Download Full-text

Maximum Principle for Some Optimal Control Problems Governed by 2D Nonlocal Cahn–Hillard–Navier–Stokes Equations

Journal of Mathematical Fluid Mechanics ◽

10.1007/s00021-020-00493-8 ◽

2020 ◽

Vol 22 (3) ◽

Author(s):

Tania Biswas ◽

Sheetal Dharmatti ◽

Manil T. Mohan

Keyword(s):

Optimal Control ◽

Maximum Principle ◽

Optimal Control Problems ◽

Stokes Equations ◽

Navier Stokes ◽

Control Problems ◽

Navier Stokes Equations

Download Full-text