Superconvergence analysis and two-grid algorithms of pseudostress-velocity MFEM for optimal control problems governed by Stokes equations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2018.12.008 ◽

2019 ◽

Vol 138 ◽

pp. 78-93

Author(s):

Tianliang Hou ◽

Haitao Leng

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Stokes Equations ◽

Control Problems ◽

Grid Algorithms

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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

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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

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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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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 ◽

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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

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Analysis of the SQP-Method for Optimal Control Problems Governed by the Nonstationary Navier–Stokes Equations Based on $L^p$-theory

SIAM Journal on Control and Optimization ◽

10.1137/s0363012904443506 ◽

2007 ◽

Vol 46 (3) ◽

pp. 1133-1153 ◽

Author(s):

Daniel Wachsmuth

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Stokes Equations ◽

Navier Stokes ◽

Control Problems ◽

Navier Stokes Equations

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Differential Stability of Control-Constrained Optimal Control Problems for the Navier-Stokes Equations

Numerical Functional Analysis and Optimization ◽

10.1080/01630560500434278 ◽

2005 ◽

Vol 26 (7-8) ◽

pp. 829-850 ◽

Author(s):

Roland Griesse ◽

Michael Hintermüller ◽

Michael Hinze

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Stokes Equations ◽

Navier Stokes ◽

Control Problems ◽

Navier Stokes Equations ◽

Constrained Optimal Control ◽

Differential Stability

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Convergence Analysis and Error Estimate for Distributed Optimal Control Problems Governed by Stokes Equations with Velocity-Constraint

Advances in Applied Mathematics and Mechanics ◽

10.4208/aamm.oa-2020-0302 ◽

2022 ◽

Vol 14 (1) ◽

pp. 33-55

Author(s):

global sci

Keyword(s):

Optimal Control ◽

Error Estimate ◽

Convergence Analysis ◽

Optimal Control Problems ◽

Stokes Equations ◽

Control Problems ◽

Distributed Optimal Control ◽

Distributed Optimal Control Problems ◽

Velocity Constraint

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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

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SECOND-ORDER OPTIMALITY CONDITIONS FOR OPTIMAL CONTROL PROBLEMS GOVERNED BY 3-DIMENSIONAL NEVIER-STOKES EQUATIONS

Acta Mathematica Scientia ◽

10.1016/s0252-9602(06)60099-4 ◽

2006 ◽

Vol 26 (4) ◽

pp. 729-734 ◽

Author(s):

Lijuan Wang ◽

Peijie He

Keyword(s):

Optimal Control ◽

Optimality Conditions ◽

Optimal Control Problems ◽

Stokes Equations ◽

Second Order ◽

Control Problems ◽

3 Dimensional ◽

Second Order Optimality Conditions

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