Сonstruction of approaching solution of boundary problem of theory of elasticity by method of analytic elements

A method of approaching solution of boundary problem of theory of elasticity is offered, based on expression of solution of Lame equation in as two-dimensional so three-dimensional case, with two arbitrary holomorphic functions of one or two complex terms. Holomorphic functions are presented as aggregate of analytic elements continuing one another, and coefficients of branches of these functions are founded by solving a system of algebraic elements, composed from condition of analytic continuation and conditions of minimum quadratic mean error from given boundary conditions.