Superconvergence of Mixed Methods for Optimal Control Problems Governed by Parabolic Equations
2011 ◽
Vol 3
(4)
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pp. 401-419
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Keyword(s):
AbstractIn this paper, we investigate the superconvergence results for optimal control problems governed by parabolic equations with semidiscrete mixed finite element approximation. We use the lowest order mixed finite element spaces to discrete the state and costate variables while use piecewise constant function to discrete the control variable. Superconvergence estimates for both the state variable and its gradient variable are obtained.
Error Estimates of Mixed Methods for Optimal Control Problems Governed by General Elliptic Equations
2016 ◽
Vol 8
(6)
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pp. 1050-1071
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2016 ◽
Vol 9
(4)
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pp. 528-548
2020 ◽
Vol 36
(5)
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pp. 1184-1202
2015 ◽
Vol 5
(1)
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pp. 85-108
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2012 ◽
Vol 4
(06)
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pp. 751-768
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2017 ◽
Vol 74
(6)
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pp. 1246-1261