Superconvergence of $H$<sup>1</sup>-Galerkin Mixed Finite Element Methods for Elliptic Optimal Control Problems
Year: 2019
East Asian Journal on Applied Mathematics, Vol. 9 (2019), Iss. 1 : pp. 87–101
Abstract
The convergence of $H$1-Galerkin mixed finite element methods for elliptic optimal control problems is studied and postprocessing operators are used to establish the superconvergence for control, state and adjoint state variables. A numerical example confirms the validity of theoretical results.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.150117.070618
East Asian Journal on Applied Mathematics, Vol. 9 (2019), Iss. 1 : pp. 87–101
Published online: 2019-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 15
Keywords: Elliptic equations optimal control problems superconvergence $H^1$-Galerkin mixed finite element methods.
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