Superconvergence analysis of a nonconforming finite element method for monotone semilinear elliptic optimal control problems

Hongbo Guan; Dongyang Shi

doi:10.1002/num.22479

Superconvergence analysis of a nonconforming finite element method for monotone semilinear elliptic optimal control problems

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22479 ◽

2020 ◽

Vol 36 (6) ◽

pp. 1405-1417

Author(s):

Hongbo Guan ◽

Dongyang Shi

Keyword(s):

Finite Element Method ◽

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

Control Problems ◽

Nonconforming Finite Element ◽

Nonconforming Finite Element Method ◽

Semilinear Elliptic ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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

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

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

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

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

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

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

A Nonconforming Finite Element Method for Constrained Optimal Control Problems Governed by Parabolic Equations

Taiwanese Journal of Mathematics ◽

10.11650/tjm/7929 ◽

2017 ◽

Vol 21 (5) ◽

pp. 1193-1211 ◽

Cited By ~ 2

Author(s):

Hong-Bo Guan ◽

Dong-Yang Shi

Keyword(s):

Finite Element Method ◽

Optimal Control ◽

Finite Element ◽

Parabolic Equations ◽

Optimal Control Problems ◽

Control Problems ◽

Nonconforming Finite Element ◽

Nonconforming Finite Element Method ◽

Constrained Optimal Control ◽

Element Method

Nonconforming immersed finite element method for solving elliptic optimal control problems with interfaces

Applicable Analysis ◽

10.1080/00036811.2020.1802431 ◽

2020 ◽

pp. 1-20

Author(s):

Quanxiang Wang ◽

Jianqiang Xie ◽

Zhiyue Zhang

Keyword(s):

Finite Element Method ◽

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

Control Problems ◽

Immersed Finite Element Method ◽

Immersed Finite Element ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control ◽

Element Method

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