Year: 2006
International Journal of Numerical Analysis and Modeling, Vol. 3 (2006), Iss. 3 : pp. 283–302
Abstract
In this paper, the global superconvergence analysis for the finite element approximation of the distributed optimal control governed by Stokes equations is discussed. For the control, a global superconvergence result is derived by applying patch recovery technique. For the state and the co-state, the global superconvergence results are derived by applying some postprocessing techniques for the bilinear-constant scheme over the uniform rectangular meshes. Based on the global superconvergence analysis, recovery type a posteriori error estimates are derived. It is shown that the recovery type a posteriori error estimators provided in this paper are asymptotically exact if the conditions for the superconvergence are satisfied.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2006-IJNAM-901
International Journal of Numerical Analysis and Modeling, Vol. 3 (2006), Iss. 3 : pp. 283–302
Published online: 2006-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 20
Keywords: optimal control Stokes equations finite element approximation global superconvergence recovery a posteriori error estimate.