Superconvergence analysis and a posteriori error estimation of a Finite Element Method for an optimal control problem governed by integral equations

Ningning Yan

Applications of Mathematics (2009)

  • Volume: 54, Issue: 3, page 267-283
  • ISSN: 0862-7940

Abstract

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In this paper, we discuss the numerical simulation for a class of constrained optimal control problems governed by integral equations. The Galerkin method is used for the approximation of the problem. A priori error estimates and a superconvergence analysis for the approximation scheme are presented. Based on the results of the superconvergence analysis, a recovery type a posteriori error estimator is provided, which can be used for adaptive mesh refinement.

How to cite

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Yan, Ningning. "Superconvergence analysis and a posteriori error estimation of a Finite Element Method for an optimal control problem governed by integral equations." Applications of Mathematics 54.3 (2009): 267-283. <http://eudml.org/doc/37820>.

@article{Yan2009,
abstract = {In this paper, we discuss the numerical simulation for a class of constrained optimal control problems governed by integral equations. The Galerkin method is used for the approximation of the problem. A priori error estimates and a superconvergence analysis for the approximation scheme are presented. Based on the results of the superconvergence analysis, a recovery type a posteriori error estimator is provided, which can be used for adaptive mesh refinement.},
author = {Yan, Ningning},
journal = {Applications of Mathematics},
keywords = {optimal control; integral equation; Galerkin method; superconvergence; a posteriori error estimates; constrained optimal control problems; adaptive mesh refinement; integral equation; Galerkin method; superconvergence; a posteriori error estimates; constrained optimal control problems; adaptive mesh refinement},
language = {eng},
number = {3},
pages = {267-283},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Superconvergence analysis and a posteriori error estimation of a Finite Element Method for an optimal control problem governed by integral equations},
url = {http://eudml.org/doc/37820},
volume = {54},
year = {2009},
}

TY - JOUR
AU - Yan, Ningning
TI - Superconvergence analysis and a posteriori error estimation of a Finite Element Method for an optimal control problem governed by integral equations
JO - Applications of Mathematics
PY - 2009
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 54
IS - 3
SP - 267
EP - 283
AB - In this paper, we discuss the numerical simulation for a class of constrained optimal control problems governed by integral equations. The Galerkin method is used for the approximation of the problem. A priori error estimates and a superconvergence analysis for the approximation scheme are presented. Based on the results of the superconvergence analysis, a recovery type a posteriori error estimator is provided, which can be used for adaptive mesh refinement.
LA - eng
KW - optimal control; integral equation; Galerkin method; superconvergence; a posteriori error estimates; constrained optimal control problems; adaptive mesh refinement; integral equation; Galerkin method; superconvergence; a posteriori error estimates; constrained optimal control problems; adaptive mesh refinement
UR - http://eudml.org/doc/37820
ER -

References

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