Gart E. Projective-Iterative Methods and their Application to Solu-tion the Boundary-Value Problems of Elasticity Theory

The thesis is devoted to the development and theoretical basing of the projective-iterative methods for the solution of operator equations with unlimited operators, for conditional minimization of functionals in the Hilbert spaces and to the application of these methods to the solution of the boundary-value problems of elasticity theory. The projective-iterative modification of the generalized methods of moments has been proposed. The theorems of convergence have been proved and the estimations of errors have been obtained. The general scheme of projective-iterative methods of solution of conditional minimization of functionals is built and the projective-iterative variants of the relaxation methods, gradient's projections, conditional gradient and conjugate gradients ones have been grounded within it. The results for compressed plate with rectangular hole of numerical and of experimental research are certain to be presented. The algorithms and the system of software have been developed