A Dual Method for Solving an Equilibrium Problem of a Body Containing a Thin Defect

被引：0
|
作者：
Zhiltsov, A. V. [1 ]
Maksimova, N. N. [2 ]
机构：
[1] Far Eastern State Transport Univ, Khabarovsk, Russia
[2] Amur State Univ, Blagoveshchensk, Russia
来源：
NUMERICAL ANALYSIS AND APPLICATIONS | 2023年 / 16卷 / 02期
关键词：
body with defect; finite element method; duality methods; Lagrange functionals; generalized Newton's method; Armijo's condition; VARIATIONAL-INEQUALITIES; SENSITIVITY FUNCTIONALS;
D O I：
10.1134/S1995423923020052
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页码：154 / 166
页数：13
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