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Accuracy bound of the grid method in optimal control problem for elliptic systems

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Abstract

A rate of convergence bound compatible with the smoothness of the solution of the original differential problem is obtained for the grid method in the optimal control problem for elliptic systems with solutions in W2 2(D).

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Literature cited

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Translated from Vychislitel'naya i Prikladnaya Matematika, No. 61, pp. 12–19, 1987.

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Makarov, V.L., Burkovskaya, V.L. & Kopystyra, N.P. Accuracy bound of the grid method in optimal control problem for elliptic systems. J Math Sci 63, 411–417 (1993). https://doi.org/10.1007/BF01849521

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  • DOI: https://doi.org/10.1007/BF01849521

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