A Stabilized Mixed Finite Element Method for Elliptic Optimal Control Problems

Hongfei Fu; Hongxing Rui; Jian Hou; Haihong Li

doi:10.1007/s10915-015-0050-3

A Stabilized Mixed Finite Element Method for Elliptic Optimal Control Problems

Journal of Scientific Computing ◽

10.1007/s10915-015-0050-3 ◽

2015 ◽

Vol 66 (3) ◽

pp. 968-986 ◽

Cited By ~ 1

Author(s):

Hongfei Fu ◽

Hongxing Rui ◽

Jian Hou ◽

Haihong Li

Keyword(s):

Finite Element Method ◽

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Control Problems ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control ◽

Stabilized Mixed Finite Element

Download Full-text

Erratum to: A Stabilized Mixed Finite Element Method for Elliptic Optimal Control Problems

Journal of Scientific Computing ◽

10.1007/s10915-015-0086-4 ◽

2015 ◽

Vol 66 (3) ◽

pp. 987-990

Author(s):

Hongfei Fu ◽

Hongxing Rui ◽

Jian Hou ◽

Haihong Li

Keyword(s):

Finite Element Method ◽

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Control Problems ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control ◽

Stabilized Mixed Finite Element

Download Full-text

A mixed finite element method for elliptic optimal control problems using a three-field formulation

ANZIAM Journal ◽

10.21914/anziamj.v59i0.12643 ◽

2018 ◽

Vol 59 ◽

pp. 97

Author(s):

Bishnu Prasad Lamichhane ◽

Anil Kumar ◽

Balaje Kalyanaraman

Keyword(s):

Finite Element Method ◽

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Control Problems ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control ◽

Element Method

Download Full-text

Error estimates and superconvergence of a mixed finite element method for elliptic optimal control problems

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2017.05.021 ◽

2017 ◽

Vol 74 (4) ◽

pp. 714-726 ◽

Cited By ~ 3

Author(s):

Tianliang Hou ◽

Chunmei Liu ◽

Yin Yang

Keyword(s):

Finite Element Method ◽

Optimal Control ◽

Finite Element ◽

Error Estimates ◽

Optimal Control Problems ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Control Problems ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

Download Full-text

A priori error analysis of stabilized mixed finite element method for reaction-diffusion optimal control problems

Boundary Value Problems ◽

10.1186/s13661-016-0531-9 ◽

2016 ◽

Vol 2016 (1) ◽

Cited By ~ 1

Author(s):

Hongfei Fu ◽

Hui Guo ◽

Jian Hou ◽

Junlong Zhao

Keyword(s):

Finite Element Method ◽

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

Mixed Finite Element ◽

A Priori ◽

Reaction Diffusion ◽

Mixed Finite Element Method ◽

Control Problems ◽

Stabilized Mixed Finite Element

Download Full-text

Two‐grid methods for – P 1 mixed finite element approximation of general elliptic optimal control problems with low regularity

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22471 ◽

2020 ◽

Vol 36 (5) ◽

pp. 1184-1202

Author(s):

Tianliang Hou ◽

Haitao Leng ◽

Tian Luan

Keyword(s):

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

Mixed Finite Element ◽

Finite Element Approximation ◽

Control Problems ◽

Element Approximation ◽

General Elliptic ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

Download Full-text

Adaptive finite element method for elliptic optimal control problems: convergence and optimality

Numerische Mathematik ◽

10.1007/s00211-016-0827-9 ◽

2016 ◽

Vol 135 (4) ◽

pp. 1121-1170 ◽

Cited By ~ 13

Author(s):

Wei Gong ◽

Ningning Yan

Keyword(s):

Finite Element Method ◽

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

Adaptive Finite Element Method ◽

Control Problems ◽

Adaptive Finite Element ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control ◽

Convergence And Optimality

Download Full-text

Superconvergence of H1-Galerkin Mixed Finite Element Methods for Elliptic Optimal Control Problems

East Asian Journal on Applied Mathematics ◽

10.4208/eajam.150117.070618 ◽

2019 ◽

Vol 9 (1) ◽

pp. 87-101 ◽

Cited By ~ 2

Author(s):

Chunmei Liu

Keyword(s):

Optimal Control ◽

Finite Element ◽

Finite Element Methods ◽

Optimal Control Problems ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Control Problems ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

Download Full-text

A priori error estimates of mixed finite element methods for general semilinear elliptic optimal control problems

Computational Mathematics and Modeling ◽

10.1007/s10598-013-9164-3 ◽

2013 ◽

Vol 24 (1) ◽

pp. 114-135 ◽

Cited By ~ 1

Author(s):

Zuliang Lu ◽

Yanping Chen

Keyword(s):

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

Mixed Finite Element ◽

A Priori ◽

Control Problems ◽

Semilinear Elliptic ◽

Elliptic Optimal Control Problems ◽

Priori Error Estimates ◽

Elliptic Optimal Control

Download Full-text

Variational discretization and rectangle mixed finite element methods for quadratic semilinear elliptic optimal control problems

2011 8th International Conference on Electrical Engineering, Computing Science and Automatic Control ◽

10.1109/iceee.2011.6106643 ◽

2011 ◽

Author(s):

Zuliang Lu

Keyword(s):

Optimal Control ◽

Finite Element ◽

Finite Element Methods ◽

Optimal Control Problems ◽

Mixed Finite Element ◽

Control Problems ◽

Semilinear Elliptic ◽

Variational Discretization ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

Download Full-text

A GLOBAL SUPERCONVERGENT L∞-ERROR ESTIMATE OF MIXED FINITE ELEMENT METHODS FOR SEMILINEAR ELLIPTIC OPTIMAL CONTROL PROBLEMS

Journal of Applied Analysis & Computation ◽

10.11948/2015028 ◽

2015 ◽

Vol 5 (3) ◽

pp. 313-328

Author(s):

Li Li ◽

Keyword(s):

Optimal Control ◽

Finite Element ◽

Error Estimate ◽

Finite Element Methods ◽

Optimal Control Problems ◽

Mixed Finite Element ◽

Control Problems ◽

Semilinear Elliptic ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

Download Full-text