This article is cited in 5 papers

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

Z. Lu<sup>ab

a</sup> College of Civil Engineering and Mechanics, Xiangtan University, Xiangtan, China
^b College of Mathematics and Computer Sciences, Chongqing Three Gorges University, Chongqing, China

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.

UDC: 517.93+519.713+007.52

Received: 14.11.2010
Revised: 22.12.2010

 English version: Numerical Analysis and Applications, 2011, 4:3, 210–222

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