Lur'ye I. Models, information and algorithmic support of accelerated statistical tests for calculating heat loaded elements of complicated configuration

Object of research: temperature fields of head loaded elements of complicated configuration which are modeled by elliptical equations with boundary conditions of the first kind and mixed boundary conditions. The purpose of research: the development of computer information technology for solving of the broad class of applied problems, which are described by the equations of an elliptic type, on the basis of a new method - the method of accelerated studies (Monte - Carlo type), computing procedures, algorithms and complexes of programs. The ethods the theory of probabilities, calculus mathematics, applied programming and omputer-generated image, IBM PC were used. Unnetted methods of averaging boundary potentials in two- and three-dimensional areas of the complicated form have received further development. The computing formulas for solving two- and three-dimensional elliptical equations with mixed boundary conditions are created for the first time. Of practical value is a universal program complex , which allows to research steady fields in the field of complicated configuration with different boundary conditions and to realize computer search of points of super convergence. The program complex ELSYMP and practical recommendations are introduced into the system of automated design for calculated of thermal fields of the complicated configuration.