Accuracy estimate with respect to state of finite-dimensional approximations for optimization problems for semi-linear elliptic equations with discontinuous coefficients and solutions
Aigul' Rashitovna Manapova, Fedor Vladimirovich Lubyshev · Ufimskii Matematicheskii Zhurnal · 2014
In the work we consider nonlinear optimal control problems for semilinear elliptic equations with discontinuous coefficients and solutions with control in the conjugation boundary conditions.We construct difference approximations for extremum problems and obtain the estimates for approximation accuracy with respect to the state.