A dual method for solving the equilibrium problem of a body containing a thin defect
A.V. Zhiltsov1, N.N. Maksimova2
1Far Eastern State Transport University, Khabarovsk,Russia
2Amur State University, Blagoveshchensk, Russia
Keywords: body with defect, finite element method, duality methods, Lagrange functionals, generalized Newton’s method, Armijo’s condition
Abstract
An equilibrium problem of a two-dimensional body with a thin defect whose properties are characterized by a fracture parameter is considered. The problem is discretized, and an approximation accuracy theorem is proved. To solve the problem, a dual method based on a modified Lagrange functional is used. In computational experiments, when solving the direct problem, a generalized Newton's method is used with a step satisfying Armijo's condition.
|
