SUPERCONVERGENCE AND A POSTERIORI ERROR ESTIMATES OF VARIATIONAL DISCRETIZATION FOR ELLIPTIC CONTROL PROBLEMS

Yuchun Hua; Yuelong Tang

doi:10.14317/jami.2014.707

SUPERCONVERGENCE AND A POSTERIORI ERROR ESTIMATES OF VARIATIONAL DISCRETIZATION FOR ELLIPTIC CONTROL PROBLEMS

Journal of applied mathematics & informatics ◽

10.14317/jami.2014.707 ◽

2014 ◽

Vol 32 (5_6) ◽

pp. 707-719

Author(s):

Yuchun Hua ◽

Yuelong Tang

Keyword(s):

Error Estimates ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Control Problems ◽

A Posteriori ◽

A Posteriori Error ◽

Variational Discretization ◽

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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Local A Posteriori Error Estimates for Convex Boundary Control Problems

SIAM Journal on Numerical Analysis ◽

10.1137/070680576 ◽

2009 ◽

Vol 47 (3) ◽

pp. 1886-1908 ◽

Cited By ~ 2

Author(s):

Wenbin Liu ◽

Ningning Yan

Keyword(s):

Error Estimates ◽

Boundary Control ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Control Problems ◽

A Posteriori ◽

A Posteriori Error ◽

Convex Boundary ◽

Boundary Control Problems

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A posteriori error estimates for some model boundary control problems

Journal of Computational and Applied Mathematics ◽

10.1016/s0377-0427(00)00308-3 ◽

2000 ◽

Vol 120 (1-2) ◽

pp. 159-173 ◽

Cited By ~ 17

Author(s):

Wenbin Liu ◽

Ningning Yan

Keyword(s):

Error Estimates ◽

Boundary Control ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Control Problems ◽

A Posteriori ◽

A Posteriori Error ◽

Boundary Control Problems

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A Posteriori Error Estimates for Control Problems Governed by Stokes Equations

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142901384009 ◽

2002 ◽

Vol 40 (5) ◽

pp. 1850-1869 ◽

Cited By ~ 60

Author(s):

Wenbin Liu ◽

Ningning Yan

Keyword(s):

Error Estimates ◽

Stokes Equations ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Control Problems ◽

A Posteriori ◽

A Posteriori Error

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A posteriori error estimates for mixed finite element solutions of convex optimal control problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2006.11.015 ◽

2008 ◽

Vol 211 (1) ◽

pp. 76-89 ◽

Cited By ~ 67

Author(s):

Yanping Chen ◽

Wenbin Liu

Keyword(s):

Optimal Control ◽

Finite Element ◽

Error Estimates ◽

Optimal Control Problems ◽

Mixed Finite Element ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Control Problems ◽

A Posteriori ◽

A Posteriori Error

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A posteriori error estimates for control problems governed by nonlinear elliptic equations

Applied Numerical Mathematics ◽

10.1016/s0168-9274(03)00054-0 ◽

2003 ◽

Vol 47 (2) ◽

pp. 173-187 ◽

Cited By ~ 31

Author(s):

Wenbin Liu ◽

Ningning Yan

Keyword(s):

Error Estimates ◽

Elliptic Equations ◽

A Posteriori Error Estimates ◽

Nonlinear Elliptic Equations ◽

Posteriori Error ◽

Control Problems ◽

A Posteriori ◽

A Posteriori Error ◽

Nonlinear Elliptic

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A Posteriori Error Estimates of Recovery Type for Distributed Convex Optimal Control Problems

Journal of Scientific Computing ◽

10.1007/s10915-007-9147-7 ◽

2007 ◽

Vol 33 (2) ◽

pp. 155-182 ◽

Cited By ~ 39

Author(s):

Ruo Li ◽

Wenbin Liu ◽

Ningning Yan

Keyword(s):

Optimal Control ◽

Error Estimates ◽

Optimal Control Problems ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Control Problems ◽

A Posteriori ◽

A Posteriori Error

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A posteriori error estimates for hp finite element solutions of convex optimal control problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2011.02.004 ◽

2011 ◽

Vol 235 (12) ◽

pp. 3435-3454 ◽

Cited By ~ 10

Author(s):

Yanping Chen ◽

Yijie Lin

Keyword(s):

Optimal Control ◽

Finite Element ◽

Error Estimates ◽

Optimal Control Problems ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Control Problems ◽

A Posteriori ◽

A Posteriori Error ◽

Hp Finite Element

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Recovery type superconvergence and a posteriori error estimates for control problems governed by Stokes equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2006.10.083 ◽

2007 ◽

Vol 209 (2) ◽

pp. 187-207 ◽

Cited By ~ 13

Author(s):

Huipo Liu ◽

Ningning Yan

Keyword(s):

Error Estimates ◽

Stokes Equations ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Control Problems ◽

A Posteriori ◽

A Posteriori Error

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A posteriori error estimates of mixed finite element solutions for fourth order parabolic control problems

Journal of Inequalities and Applications ◽

10.1186/s13660-015-0762-9 ◽

2015 ◽

Vol 2015 (1) ◽

Author(s):

Chunjuan Hou ◽

Yanping Chen ◽

Zuliang Lu

Keyword(s):

Finite Element ◽

Error Estimates ◽

Fourth Order ◽

Mixed Finite Element ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Control Problems ◽

A Posteriori ◽

A Posteriori Error

Download Full-text