Journal of the
Korean Mathematical Society JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008
qr-code QR
Code

Article

HOME ALL ARTICLES View

J. Korean Math. Soc. 2012; 49(3): 549-569

Printed May 1, 2012

https://doi.org/10.4134/JKMS.2012.49.3.549

Copyright © The Korean Mathematical Society.

Richardson extrapolation and defect correction of mixed finite element methods for elliptic optimal control problems

Yanping Chen, Yunqing Huang, and Tianliang Hou

South China Normal University, Xiangtan University, Xiangtan University

Abstract

Go to

In this paper asymptotic error expansions for mixed finite element approximations to a class of second order elliptic optimal control problems are derived under rectangular meshes, and the Richardson extrapolation of two different schemes and interpolation defect correction can be applied to increase the accuracy of the approximations. As a by-product, we illustrate that all the approximations of higher accuracy can be used to form a class of a posteriori error estimators of the mixed finite element method for optimal control problems.

Keywords: optimal control problems, mixed finite element methods, asymptotic expansions, interpolation postprocessing, defect correction, a posteriori error estimators

MSC numbers: Primary 35J15, 65K10

Article Tools

Stats or Metrics

Share this article on :

Related articles in JKMS