A Posteriori Error Estimate for Boundary Control Problems Governed by the Parabolic Partial Differential Equations
Year: 2009
Journal of Computational Mathematics, Vol. 27 (2009), Iss. 1 : pp. 68–88
Abstract
In this paper, we discuss the a posteriori error estimate of the finite element approximation for the boundary control problems governed by the parabolic partial differential equations. Three different a posteriori error estimators are provided for the parabolic boundary control problems with the observations of the distributed state, the boundary state and the final state. It is proven that these estimators are reliable bounds of the finite element approximation errors, which can be used as the indicators of the mesh refinement in adaptive finite element methods.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2009-JCM-8560
Journal of Computational Mathematics, Vol. 27 (2009), Iss. 1 : pp. 68–88
Published online: 2009-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 21
Keywords: Boundary control problems Finite element method A posteriori error estimate Parabolic partial differential equations.