Difference approximations of optimization problems for semilinear elliptic equations in a convex domain with controls in the coefficients multiplying the highest derivatives-Reference-Cited by-同舟云学术

Difference approximations of optimization problems for semilinear elliptic equations in a convex domain with controls in the coefficients multiplying the highest derivatives

Published:2013-01 Issue:1 Volume:53 Page:8-33
ISSN:0965-5425
Container-title:Computational Mathematics and Mathematical Physics
language:en
Short-container-title:Comput. Math. and Math. Phys.

Author:

Lubyshev F. V.,Manapova A. R.

Publisher

Pleiades Publishing Ltd

Subject

Computational Mathematics

Link

http://link.springer.com/content/pdf/10.1134/S0965542513010053.pdf

Reference15 articles.

1. J.-L. Lions, Controle optimal de systemes gouvernes par des equations aux derivees partielles (Gauthier-Villars, Paris, 1968; Mir, Moscow, 1972).

2. O. M. Alifanov, E. A. Artyukhin, and S. V. Rumyantsev, Extreme Methods for Solving Ill-Posed Problems with Applications to Inverse Heat Transfer Problems (Nauka, Moscow, 1988; Begell House, New York, 1995).

3. F. P. Vasil’ev, Optimization Methods (Faktorial, Moscow, 2002) [in Russian].

4. M. M. Potapov, Approximation of Optimization Problems in Mathematical Physics (Hyperbolic Equations) (Mosk. Gos. Univ., Moscow, 1985) [in Russian].

5. A. Z. Ishmukhametov, Stability and Approximation of Optimal Control Problems (Vychisl. Tsentr Ross. Akad. Nauk, Moscow, 1999) [in Russian].

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