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.

引用

页码：154 / 166

页数：13

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