Geodesic
Accuracy estimate with respect to state of finite-dimensional approximations for optimization problems for semi-linear elliptic equations with discontinuous coefficients and solutions
Ufa mathematical journal, Tome 6 (2014) no. 3, pp. 69-84

Voir la notice de l'article provenant de la source Math-Net.Ru

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.
Keywords: optimal control problem, semi-linear elliptic equations, difference method of solving. 
@article{UFA_2014_6_3_a4,
     author = {A. R. Manapova and F. V. Lubyshev},
     title = {Accuracy estimate with respect to state of finite-dimensional approximations for optimization problems for semi-linear elliptic equations with discontinuous coefficients and solutions},
     journal = {Ufa mathematical journal},
     pages = {69--84},
     publisher = {mathdoc},
     volume = {6},
     number = {3},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/UFA_2014_6_3_a4/}
}
TY  - JOUR
AU  - A. R. Manapova
AU  - F. V. Lubyshev
TI  - Accuracy estimate with respect to state of finite-dimensional approximations for optimization problems for semi-linear elliptic equations with discontinuous coefficients and solutions
JO  - Ufa mathematical journal
PY  - 2014
SP  - 69
EP  - 84
VL  - 6
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/UFA_2014_6_3_a4/
LA  - en
ID  - UFA_2014_6_3_a4
ER  - 
%0 Journal Article
%A A. R. Manapova
%A F. V. Lubyshev
%T Accuracy estimate with respect to state of finite-dimensional approximations for optimization problems for semi-linear elliptic equations with discontinuous coefficients and solutions
%J Ufa mathematical journal
%D 2014
%P 69-84
%V 6
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/UFA_2014_6_3_a4/
%G en
%F UFA_2014_6_3_a4
A. R. Manapova; F. V. Lubyshev. Accuracy estimate with respect to state of finite-dimensional approximations for optimization problems for semi-linear elliptic equations with discontinuous coefficients and solutions. Ufa mathematical journal, Tome 6 (2014) no. 3, pp. 69-84. http://geodesic.mathdoc.fr/item/UFA_2014_6_3_a4/