Richardson Extrapolation and Defect Correction of Finite Element Methods for Optimal Control Problems
Year: 2010
Journal of Computational Mathematics, Vol. 28 (2010), Iss. 1 : pp. 55–71
Abstract
Asymptotic error expansions in $H^1$-norm for the bilinear finite element approximation to a class of optimal control problems are derived for rectangular meshes. With the rectangular meshes, the Richardson extrapolation of two different schemes and an interpolation defect correction can be applied. The higher order numerical approximations are used to generate a posteriori error estimators for the finite element approximation.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.2009.09-m1001
Journal of Computational Mathematics, Vol. 28 (2010), Iss. 1 : pp. 55–71
Published online: 2010-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
Keywords: Optimal control problem Finite element methods Asymptotic error expansions Defect correction A posteriori error estimates.
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