A robust optimal preconditioner for the mixed finite element discretization of elliptic optimal control problems

Wei Gong; Zhiyu Tan; Shuo Zhang

doi:10.1002/nla.2129

A robust optimal preconditioner for the mixed finite element discretization of elliptic optimal control problems

Numerical Linear Algebra with Applications ◽

10.1002/nla.2129 ◽

2017 ◽

Vol 25 (1) ◽

pp. e2129

Author(s):

Wei Gong ◽

Zhiyu Tan ◽

Shuo Zhang

Keyword(s):

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

Mixed Finite Element ◽

Control Problems ◽

Finite Element Discretization ◽

Element Discretization ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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Finite Element Discretization of State-Constrained Elliptic Optimal Control Problems with Semilinear State Equation

SIAM Journal on Control and Optimization ◽

10.1137/140960645 ◽

2015 ◽

Vol 53 (2) ◽

pp. 874-904 ◽

Cited By ~ 14

Author(s):

Ira Neitzel ◽

Johannes Pfefferer ◽

Arnd Rösch

Keyword(s):

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

State Equation ◽

Control Problems ◽

Finite Element Discretization ◽

Element Discretization ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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Error estimates for the finite element discretization of semi-infinite elliptic optimal control problems

Discussiones Mathematicae Differential Inclusions Control and Optimization ◽

10.7151/dmdico.1121 ◽

2010 ◽

Vol 30 (2) ◽

pp. 221 ◽

Cited By ~ 6

Author(s):

Pedro Merino ◽

Ira Neitzel ◽

Fredi Tröltzsch

Keyword(s):

Optimal Control ◽

Finite Element ◽

Error Estimates ◽

Optimal Control Problems ◽

Control Problems ◽

Finite Element Discretization ◽

Element Discretization ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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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

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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

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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

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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

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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

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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

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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

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Interpolation coefficients mixed finite element methods for general semilinear Dirichlet boundary elliptic optimal control problems

Applicable Analysis ◽

10.1080/00036811.2017.1376319 ◽

2017 ◽

Vol 97 (14) ◽

pp. 2496-2509

Author(s):

Zuliang Lu ◽

Longzhou Cao ◽

Lin Li

Keyword(s):

Optimal Control ◽

Finite Element ◽

Finite Element Methods ◽

Dirichlet Boundary ◽

Optimal Control Problems ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Control Problems ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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