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Zuliang Lu, Shaohong Du, Yuelong Tang. New a posteriori error estimates of mixed ﬁnite element methods for quadratic optimal control problems governed by semilinear parabolic equations with integral constraint, Boundary Value Problems，2013, 230, pp. 1-21 (SCI期刊，IDS：V38KV)

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标题: New a posteriori error estimates of mixed finite element methods for quadratic optimal control problems governed by semilinear parabolic equations with integral constraint
作者: Lu, ZL (Lu, Zuliang); Du, SH (Du, Shaohong); Tang, YL (Tang, Yuelong)
来源出版物: BOUNDARY VALUE PROBLEMS 文献号: 230 DOI: 10.1186/1687-2770-2013-230 出版年: NOV 8 2013
摘要: In this paper, we investigate new L-infinity(L-2) and L-2(L-2)-posteriori error estimates of mixed finite element solutions for quadratic optimal control problems governed by semilinear parabolic equations. The state and the co-state are discretized by the order one Raviart-Thomas mixed finite element spaces and the control is approximated by piecewise constant functions. We derive a posteriori error estimates in L-infinity(J; L-2(Omega))-norm and L-2(J; L-2(Omega))-norm for both the state and the control approximation. Such estimates, which are apparently not available in the literature, are an important step towards developing reliable adaptive mixed finite element approximation schemes for the optimal control problem.
入藏号: WOS:000209343200001
ISSN: 1687-2770

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