RUS  ENG
Full version
JOURNALS // Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva // Archive

Trudy SVMO, 2008, Volume 10, Number 1, Pages 71–81 (Mi svmo126)

On some difference approximations and regularization of optimal control problems for quasilinear elliptic equations for inhomogeneous anisotropic medium with controls involved coefficients

V. F. Lubyshev, M. È. Fairuzov


Abstract: In the present paper, we construct difference approximations of optimal control problems for quasilinear elliptic equations with controls involved in coefficients. Accuracy estimates of these approximations with respect to the state and the objective functional are obtained. The approximations are regularized after Tikhonov

Keywords: elliptic equations, difference approximation, inhomogeneous medium, anisotropic, optimal control, partial differential equation, difference equation, regularization, optimal control problem, convergence, correctness, solution, functional, difference analogue, minimization, minimizing sequence.

UDC: 519.6..517.977.58



© Steklov Math. Inst. of RAS, 2024