Error Estimates and Superconvergence of Mixed Finite Element Methods for Optimal Control Problems with Low Regularity
2012 ◽
Vol 4
(06)
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pp. 751-768
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Keyword(s):
AbstractIn this paper, we investigate the error estimates and superconvergence property of mixed finite element methods for elliptic optimal control problems. The state and co-state are approximated by the lowest order Raviart-Thomas mixed finite element spaces and the control variable is approximated by piecewise constant functions. We deriveL2andL∞-error estimates for the control variable. Moreover, using a recovery operator, we also derive some superconvergence results for the control variable. Finally, a numerical example is given to demonstrate the theoretical results.
2010 ◽
Vol 233
(8)
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pp. 1812-1820
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2015 ◽
Vol 5
(1)
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pp. 85-108
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2019 ◽
Vol 9
(1)
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pp. 87-101
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2012 ◽
Vol 7
(3)
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pp. 397-413
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2009 ◽
Vol 42
(3)
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pp. 382-403
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2013 ◽
Vol 50
(1)
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pp. 321-341
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2009 ◽
Vol 2
(1)
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pp. 74-86
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