This article is cited in 6 papers

Difference methods in problems of the optimal control of the stationary self-action of light beams

M. M. Potapov, A. V. Razgulin

Moscow

Abstract: A discussion is presented of optimization problems arising in the simulation of the propagation of optical radiation in a material medium with different regimes of absorption and field selfaction. Estimates are established for the rate of convergence of difference and projection-difference schemes for the appropriate non-linear differential equations, no prior assumptions being made as to the smoothness of the generalized solutions or compatability conditions for the grid step-sizes. Estimates are also obtained for the rate of convergence of the finite-dimensional approximations to the optimal control problems based on these schemes.

UDC: 517.977.58

Received: 08.10.1989
Revised: 16.02.1990

 English version: USSR Computational Mathematics and Mathematical Physics, 1990, 30:4, 134–142

Bibliographic databases:

•