Application of a least-squares finite element method to the plane problem of elasticity

Authors

  • I.O. Arushanian
  • G.M. Kobelkov

Keywords:

проекционно-сеточные методы
численный анализ
численные методы
метод наименьших квадратов
теория упругости
задача Стокса
минимизация
краевые задачи

Abstract

An application of a least-squares finite element method to the plane problem of elasticity with two large parameters is considered. An efficient implicit iteration method is proposed for the case of standard triangulation. We also consider a special way of triangulation that allows solving the resulting system of linear algebraic equations by a direct method with the use of fast Fourier transform.

New computational technologies

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Published

2001-11-26

Issue

Vol. 2 (2001): Issue 1.

Section

Section 1. Numerical methods and applications

Author Biographies

I.O. Arushanian

Lomonosov Moscow State University,
Faculty of Mechanics and Mathematics

G.M. Kobelkov

Lomonosov Moscow State University,
Faculty of Mechanics and Mathematics

References

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