A Posteriori Error Estimates For Control Problems Governed by Stokes' Equations

Liu, Steve Wenbin and Yan, Ningning (2003) A Posteriori Error Estimates For Control Problems Governed by Stokes' Equations. SIAM Journal on Numerical Analysis, 40 (5). pp. 1805-1869. ISSN 00361429. (Access to this publication is restricted)

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http://dx.doi.org/10.1137/S0036142901384009

Abstract

In this paper, we derive a posteriori error estimates for the finite element approximation of distributed optimal control problems governed by the Stokes equations. We btain a posteriori error estimators for both the state and the control approximation in the L2 norm and the H1 norm. These estimates can be used to construct reliable adaptive finite element approximation for the control problems.

Item Type: Article
Uncontrolled keywords: distributed optimal control, finite element approximation, adaptive finite element methods, a posteriori error stimates, Stokes equations
Subjects: Q Science > QA Mathematics (inc Computing science) > QA101 Arithmetic
Divisions: Faculties > Social Sciences > Kent Business School
Depositing User: Steve Wenbin Liu
Date Deposited: 11 Sep 2008 13:13
Last Modified: 23 Jun 2014 11:04
Resource URI: http://kar.kent.ac.uk/id/eprint/8525 (The current URI for this page, for reference purposes)
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