Grid approximation of optimal control problems for semilinear elliptic equations with discontinuous coefficients and solutions, with offices in the coefficients of the highest derivatives
F. V. Lubyshev1, M. E. Fairuzov2
| Annotation | Discusses and examines the mathematical formulation of nonlinear optimal control problems for semilinear elliptic equations with discontinuous coefficients and solutions, with offices in the coefficients of the highest derivatives. Built difference approximation of extremal problems, establish estimates of the accuracy of the approximations on the condition and functionality, proved weak convergence of approximations. Held regularization approximations on Tikhonov. |
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| Keywords | the problem of optimal control, semilinear elliptic equations, differential solution method, regularization method. |
1Full professor of Department of Applied Computer Science and Numerical Methods, Bashkir State University, Ufa; fairuzovme@mail.ru.
2Associate Professor of Department of Applied Computer Science and Numerical Methods, Bashkir State University, Ufa; fairuzovme@mail.ru.
Citation: F. V. Lubyshev, M. E. Fairuzov, "[Grid approximation of optimal control problems for semilinear elliptic equations with discontinuous coefficients and solutions, with offices in the coefficients of the highest derivatives]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,17:1 (2015) 89–104 (In Russian)
