Quasi-optimality of an Adaptive Finite Element Method for an Optimal Control Problem
2011 ◽
Vol 11
(2)
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pp. 107-128
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Keyword(s):
Abstract We prove quasi-optimality of an adaptive finite element algorithm for a model problem of optimal control including control constraints. The quasi-optimility expresses the fact that the decrease of error with respect to the number of mesh cells is optimal up to a constant. The considered algorithm is based on an adaptive marking strategy which compares a standard residualtype a posteriori error estimator with a data approximation term in each step of the algorithm in order to adapt the marking of cells.
2017 ◽
Vol 327
◽
pp. 4-35
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2016 ◽
Vol 20
(2)
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pp. 137-150
1998 ◽
Vol 163
(1-4)
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pp. 159-170
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2001 ◽
Vol 190
(31)
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pp. 4027-4042
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2020 ◽
Vol 369
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pp. 112574
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2016 ◽
pp. 449-453
1987 ◽
Vol 61
(1)
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pp. 1-40
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