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Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva, 2016, Volume 18, Number 1, Pages 54–69
(Mi svmo579)
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Mathematics
Approximation of optimal control problems for semi-linear elliptic convection-diffusion equations with discontinuous coefficients and states, with controls involved in the coefficients of diffusion and convective transfer
F. V. Lubyshev, A. R. Manapova, M. È. Fairuzov Bashkir State University, Ufa
Abstract:
In this paper we study main problems of approximation of nonlinear optimal control problems described by elliptic convection-diffusion equations with discontinuous coefficients and solutions, with controls involved in the coefficients of diffusion and convective transfer. Issues of discrete optimization problems construction, convergence of the approximations with respect to state, functional and control, and regularization of approximations are considered.
Keywords:
the problem of optimal control, semi-linear elliptic equations, convective and diffusion transfer, difference method.
Citation:
F. V. Lubyshev, A. R. Manapova, M. È. Fairuzov, “Approximation of optimal control problems for semi-linear elliptic convection-diffusion equations with discontinuous coefficients and states, with controls involved in the coefficients of diffusion and convective transfer”, Zhurnal SVMO, 18:1 (2016), 54–69
Linking options:
https://www.mathnet.ru/eng/svmo579 https://www.mathnet.ru/eng/svmo/v18/i1/p54
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