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. Lubyshev1, A. R. Manapova2, M. E. Fairuzov3
| Annotation | 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. |
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| Keywords | the problem of optimal control, semi-linear elliptic equations, convective and diffusion transfer, difference method |
1Full professor of Bashkir State University, Department of IT and Computer Mathematics; aygulrm@mail.ru.
2Associate professor of Bashkir State University, Department of IT and Computer Mathematics; aygulrm@mail.ru.
3Associate professor of Bashkir State University, Department of IT and Computer Mathematics; fairuzovme@mail.ru.
Citation: F. V. Lubyshev, A. R. Manapova, M. E. 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 Srednevolzhskogo matematicheskogo obshchestva,18:1 (2016) 54–69 (In Russian)
