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

Convection Diffusion ◽

Finite Volume Element ◽

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 ◽

Convection Diffusion ◽

Finite Volume Element ◽

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 ◽

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 ◽

Convection Dominated ◽

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 ◽

Convection Diffusion ◽

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 ◽

Priori Error Estimates

Superconvergence and gradient recovery for a finite volume element method for solving convection-diffusion equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.21862 ◽

2014 ◽

Vol 30 (4) ◽

pp. 1152-1168 ◽

Cited By ~ 2

Author(s):

Tie Zhang ◽

Ying Sheng

Keyword(s):

Finite Volume ◽

Volume Element ◽

Diffusion Equations ◽

Gradient Recovery ◽

Convection Diffusion ◽

Finite Volume Element ◽

Element Method

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 ◽

Non Linear ◽

Augmented Lagrangian Approach ◽

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 ◽

Interior Penalty Methods ◽

An Upwind Finite Volume Element Method for Nonlinear Convection Diffusion Problem

American Journal of Computational Mathematics ◽

10.4236/ajcm.2011.14032 ◽

2011 ◽

Vol 01 (04) ◽

pp. 264-270 ◽

Cited By ~ 3

Author(s):

Fuzheng Gao ◽

Yirang Yuan ◽

Ning Du

Keyword(s):

Finite Volume ◽

Diffusion Problem ◽

Volume Element ◽

Nonlinear Convection ◽

Convection Diffusion ◽

Finite Volume Element ◽

Element Method

International Journal of Advances in Engineering Sciences and Applied Mathematics ◽

An explicit characteristic finite volume element method for non-divergence free convection–diffusion-reaction equation

10.1007/s12572-012-0071-1 ◽

2012 ◽

Vol 4 (3) ◽

pp. 179-192

Author(s):

S. Phongthanapanich ◽

P. Dechaumphai

Keyword(s):

Free Convection ◽

Finite Volume ◽

Volume Element ◽

Diffusion Reaction ◽

Reaction Equation ◽

Convection Diffusion ◽

Finite Volume Element ◽

Divergence Free ◽

Element Method