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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2011, Volume 14, Number 3, Pages 261–276 (Mi sjvm440)  
This article is cited in 5 scientific papers (total in 5 papers)

A posteriori error estimates of finite element methods for nonlinear quadratic boundary optimal control problem

Z. Luab

a College of Civil Engineering and Mechanics, Xiangtan University, Xiangtan, China
b College of Mathematics and Computer Sciences, Chongqing Three Gorges University, Chongqing, China
Full-text PDF (303 kB) Citations (5)
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Abstract: This paper is aimed at studying finite element discretization for a class of quadratic boundary optimal control problems governed by nonlinear elliptic equations. We derive a posteriori error estimates for the coupled state and control approximation. Such estimates can be used to construct a reliable adaptive finite element approximation for the boundary optimal control problem. Finally, we present a numerical example to confirm our theoretical results.
Key words: nonlinear boundary optimal control problem, finite element methods, a posteriori error estimates.
Received: 14.11.2010
Revised: 22.12.2010
English version:
Numerical Analysis and Applications, 2011, Volume 4, Issue 3, Pages 210–222
DOI: https://doi.org/10.1134/S1995423911030037
Bibliographic databases:
Document Type: Article
UDC: 517.93+519.713+007.52
Language: Russian
Citation: Z. Lu, “A posteriori error estimates of finite element methods for nonlinear quadratic boundary optimal control problem”, Sib. Zh. Vychisl. Mat., 14:3 (2011), 261–276; Num. Anal. Appl., 4:3 (2011), 210–222
Citation in format AMSBIB
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\by Z.~Lu
\paper A~posteriori error estimates of finite element methods for nonlinear quadratic boundary optimal control problem
\jour Sib. Zh. Vychisl. Mat.
\yr 2011
\vol 14
\issue 3
\pages 261--276
\mathnet{http://mi.mathnet.ru/sjvm440}
\transl
\jour Num. Anal. Appl.
\yr 2011
\vol 4
\issue 3
\pages 210--222
\crossref{https://doi.org/10.1134/S1995423911030037}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79960829855}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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