Superconvergence and L∞-Error Estimates of RT1 Mixed Methods for Semilinear Elliptic Control Problems with an Integral Constraint

Numerical Mathematics Theory Methods and Applications ◽

10.4208/nmtma.2012.m1118 ◽

2012 ◽

Vol 5 (3) ◽

pp. 423-446 ◽

Author(s):

Yanping Chen & Tianliang Hou

Keyword(s):

Mixed Methods ◽

Error Estimates ◽

Control Problems ◽

Integral Constraint ◽

Semilinear Elliptic ◽

Elliptic Control Problems

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Superconvergence and a posteriori error estimates of RT1 mixed methods for elliptic control problems with an integral constraint

Numerical Analysis and Applications ◽

10.1134/s1995423913020080 ◽

2013 ◽

Vol 6 (2) ◽

pp. 163-175

Author(s):

T. Hou

Keyword(s):

Mixed Methods ◽

Error Estimates ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Control Problems ◽

Integral Constraint ◽

A Posteriori ◽

A Posteriori Error ◽

Elliptic Control Problems

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Error Estimates for the Numerical Approximation of Semilinear Elliptic Control Problems with Finitely Many State Constraints

ESAIM Control Optimisation and Calculus of Variations ◽

10.1051/cocv:2002049 ◽

2002 ◽

Vol 8 ◽

pp. 345-374 ◽

Author(s):

Eduardo Casas

Keyword(s):

Error Estimates ◽

Numerical Approximation ◽

State Constraints ◽

Control Problems ◽

Semilinear Elliptic ◽

Elliptic Control Problems

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Error Estimates for the Numerical Approximation of Boundary Semilinear Elliptic Control Problems. Continuous Piecewise Linear Approximations

IFIP International Federation for Information Processing - Systems, Control, Modeling and Optimization ◽

10.1007/0-387-33882-9_9 ◽

2006 ◽

pp. 91-101 ◽

Author(s):

E. Casas ◽

M. Mateos

Keyword(s):

Error Estimates ◽

Numerical Approximation ◽

Piecewise Linear ◽

Control Problems ◽

Linear Approximations ◽

Semilinear Elliptic ◽

Elliptic Control Problems ◽

Piecewise Linear Approximations

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Error estimates for integral constraint regularization of state-constrained elliptic control problems

Computational Optimization and Applications ◽

10.1007/s10589-016-9885-2 ◽

2016 ◽

Vol 67 (1) ◽

pp. 39-71 ◽

Author(s):

B. Jadamba ◽

A. Khan ◽

M. Sama

Keyword(s):

Error Estimates ◽

Control Problems ◽

Integral Constraint ◽

Elliptic Control Problems

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A SUPERCONVERGENT L∞-ERROR ESTIMATE OF RT1 MIXED METHODS FOR ELLIPTIC CONTROL PROBLEMS WITH AN INTEGRAL CONSTRAINT

Journal of Applied Analysis & Computation ◽

10.11948/2017065 ◽

2017 ◽

Vol 7 (3) ◽

pp. 1037-1050

Author(s):

Yuelong Tang ◽

◽

Yuchun Hua ◽

Keyword(s):

Mixed Methods ◽

Error Estimate ◽

Control Problems ◽

Integral Constraint ◽

Elliptic Control Problems

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Superconvergence and L^\infty-Error Estimates of the Lowest Order Mixed Methods for Distributed Optimal Control Problems Governed by Semilinear Elliptic Equations

Numerical Mathematics Theory Methods and Applications ◽

10.4208/nmtma.2013.1133nm ◽

2013 ◽

Author(s):

Tianliang Hou

Keyword(s):

Optimal Control ◽

Mixed Methods ◽

Error Estimates ◽

Elliptic Equations ◽

Optimal Control Problems ◽

Semilinear Elliptic Equations ◽

Control Problems ◽

Distributed Optimal Control ◽

Semilinear Elliptic ◽

Distributed Optimal Control Problems

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A priori error estimates of mixed methods for bilinear elliptic optimal control problems with integral constraint

2011 6th IEEE Joint International Information Technology and Artificial Intelligence Conference ◽

10.1109/itaic.2011.6030162 ◽

2011 ◽

Author(s):

Zuliang Lu ◽

Xiao Huang

Keyword(s):

Optimal Control ◽

Mixed Methods ◽

Error Estimates ◽

Optimal Control Problems ◽

A Priori ◽

Control Problems ◽

Integral Constraint ◽

Elliptic Optimal Control Problems ◽

Priori Error Estimates ◽

Elliptic Optimal Control

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Error Estimates and Superconvergence of RT0 Mixed Methods for a Class of Semilinear Elliptic Optimal Control Problems

Numerical Mathematics Theory Methods and Applications ◽

10.4208/nmtma.2013.1230nm ◽

2013 ◽

Vol 6 (4) ◽

pp. 637-656 ◽

Author(s):

Yanping Chen and Tianliang Hou

Keyword(s):

Optimal Control ◽

Mixed Methods ◽

Error Estimates ◽

Optimal Control Problems ◽

Control Problems ◽

Semilinear Elliptic ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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Error Estimates for the Numerical Approximation of Boundary Semilinear Elliptic Control Problems

Computational Optimization and Applications ◽

10.1007/s10589-005-2180-2 ◽

2005 ◽

Vol 31 (2) ◽

pp. 193-219 ◽

Author(s):

Eduardo Casas ◽

Mariano Mateos ◽

Fredi TrÖltzsch

Keyword(s):

Error Estimates ◽

Numerical Approximation ◽

Control Problems ◽

Semilinear Elliptic ◽

Elliptic Control Problems

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Using piecewise linear functions in the numerical approximation of semilinear elliptic control problems

Advances in Computational Mathematics ◽

10.1007/s10444-004-4142-0 ◽

2006 ◽

Vol 26 (1-3) ◽

pp. 137-153 ◽

Author(s):

Eduardo Casas

Keyword(s):

Numerical Approximation ◽

Piecewise Linear ◽

Linear Functions ◽

Control Problems ◽

Piecewise Linear Functions ◽

Semilinear Elliptic ◽

Elliptic Control Problems

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