Meshfree Finite Volume Element Method for Constrained Optimal Control Problem Governed by Random Convection Diffusion Equations

Liang Ge

doi:10.4208/cmr.2020-0008

Meshfree Finite Volume Element Method for Constrained Optimal Control Problem Governed by Random Convection Diffusion Equations

Communications in Mathematical Research ◽

10.4208/cmr.2020-0008 ◽

2020 ◽

Vol 36 (2) ◽

pp. 229-246

Author(s):

Liang Ge

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Volume Element ◽

Diffusion Equations ◽

Finite Volume Element Method ◽

Constrained Optimal Control ◽

Convection Diffusion ◽

Finite Volume Element ◽

Constrained Optimal Control Problem

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A Sparse Grid Stochastic Collocation Upwind Finite Volume Element Method for the Constrained Optimal Control Problem Governed by Random Convection Diffusion Equations

Journal of Scientific Computing ◽

10.1007/s10915-018-0713-y ◽

2018 ◽

Vol 77 (1) ◽

pp. 524-551

Author(s):

Liang Ge ◽

Lianhai Wang ◽

Yanzhen Chang

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Volume Element ◽

Diffusion Equations ◽

Stochastic Collocation ◽

Finite Volume Element Method ◽

Constrained Optimal Control ◽

Convection Diffusion ◽

Finite Volume Element ◽

Constrained Optimal Control Problem

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A Sparse Grid Stochastic Collocation and Finite Volume Element Method for Constrained Optimal Control Problem Governed by Random Elliptic Equations

Journal of Computational Mathematics ◽

10.4208/jcm.1703-m2016-0692 ◽

2018 ◽

Vol 36 (2) ◽

pp. 310-330 ◽

Cited By ~ 1

Author(s):

Liang Ge and Tongjun Sun

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Elliptic Equations ◽

Volume Element ◽

Stochastic Collocation ◽

Finite Volume Element Method ◽

Constrained Optimal Control ◽

Finite Volume Element ◽

Constrained Optimal Control Problem

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A Sparse Grid Stochastic Collocation Discontinuous Galerkin Method for Constrained Optimal Control Problem Governed by Random Convection Dominated Diffusion Equations

Numerical Functional Analysis and Optimization ◽

10.1080/01630563.2018.1508034 ◽

2019 ◽

Vol 40 (7) ◽

pp. 763-797

Author(s):

Liang Ge ◽

Tongjun Sun

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Diffusion Equations ◽

Stochastic Collocation ◽

Constrained Optimal Control ◽

Convection Dominated ◽

Constrained Optimal Control Problem

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A Priori Error Estimates of Crank-Nicolson Finite Volume Element Method for a Hyperbolic Optimal Control Problem

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22052 ◽

2016 ◽

Vol 32 (5) ◽

pp. 1331-1356

Author(s):

Xianbing Luo

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Error Estimates ◽

Finite Volume ◽

A Priori ◽

Volume Element ◽

Finite Volume Element Method ◽

Finite Volume Element ◽

Priori Error Estimates

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A posteriori error estimates of constrained optimal control problem governed by convection diffusion equations

Frontiers of Mathematics in China ◽

10.1007/s11464-008-0029-6 ◽

2008 ◽

Vol 3 (3) ◽

pp. 415-442 ◽

Cited By ~ 3

Author(s):

Ningning Yan ◽

Zhaojie Zhou

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Diffusion Equations ◽

A Posteriori ◽

A Posteriori Error ◽

Constrained Optimal Control ◽

Convection Diffusion ◽

Constrained Optimal Control Problem

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Non-linear constrained optimal control problem: A hybrid PSO-GA-Based discrete augmented lagrangian approach

2011 Annual Meeting of the North American Fuzzy Information Processing Society ◽

10.1109/nafips.2011.5751926 ◽

2011 ◽

Cited By ~ 2

Author(s):

Amar Khoukhi ◽

Fouad M. Al-Sunni ◽

Haris M. Khalid ◽

S. Z. Rizvi

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Augmented Lagrangian ◽

Lagrangian Approach ◽

Constrained Optimal Control ◽

Non Linear ◽

Augmented Lagrangian Approach ◽

Constrained Optimal Control Problem

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C0 interior penalty methods for an elliptic state-constrained optimal control problem with Neumann boundary condition

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2018.10.015 ◽

2019 ◽

Vol 350 ◽

pp. 212-232 ◽

Cited By ~ 7

Author(s):

Susanne C. Brenner ◽

Li-yeng Sung ◽

Yi Zhang

Keyword(s):

Boundary Condition ◽

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Neumann Boundary Condition ◽

Neumann Boundary ◽

Penalty Methods ◽

Constrained Optimal Control ◽

Interior Penalty Methods ◽

Constrained Optimal Control Problem

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A Local Search Scheme for the Inequality-Constrained Optimal Control Problem

Mathematical Optimization Theory and Operations Research - Lecture Notes in Computer Science ◽

10.1007/978-3-030-77876-7_2 ◽

2021 ◽

pp. 17-31

Author(s):

A. S. Strekalovsky

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Local Search ◽

Control Problem ◽

Constrained Optimal Control ◽

Constrained Optimal Control Problem

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On the convergence profile of a discretized scheme for a two-dimensional constrained optimal control problem

Journal of the Nigerian Association of Mathematical Physics ◽

10.4314/jonamp.v10i1.40172 ◽

2008 ◽

Vol 10 (1) ◽

Author(s):

O Olotu ◽

SA Olorunsola

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Two Dimensional ◽

Constrained Optimal Control ◽

Constrained Optimal Control Problem

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A NEW TYPE OF SUFFICIENT OPTIMALITY CONDITIONS FOR A NONLINEAR CONSTRAINED OPTIMAL CONTROL PROBLEM

Nonlinear Control Systems Design 1992 ◽

10.1016/b978-0-08-041901-5.50083-x ◽

1993 ◽

pp. 477-483

Author(s):

G. Stefani ◽

P.-L. Zezza

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Optimality Conditions ◽

Sufficient Optimality Conditions ◽

Constrained Optimal Control ◽

New Type ◽

Constrained Optimal Control Problem

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