Application of a least-squares finite element method to the plane problem of elasticity
Numerical methods and programming, Tome 2 (2001) no. 1, pp. 175-183
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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.
Keywords:
projection grid methods, least-squares method, plane elasticity theory, linear systems
Mots-clés : triangulation, fast Fourier transform.
Mots-clés : triangulation, fast Fourier transform.
@article{VMP_2001_2_1_a12,
author = {I. O. Arushanyan and G. M. Kobel'kov},
title = {Application of a least-squares finite element method to the plane problem of elasticity},
journal = {Numerical methods and programming},
pages = {175--183},
year = {2001},
volume = {2},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMP_2001_2_1_a12/}
}
TY - JOUR AU - I. O. Arushanyan AU - G. M. Kobel'kov TI - Application of a least-squares finite element method to the plane problem of elasticity JO - Numerical methods and programming PY - 2001 SP - 175 EP - 183 VL - 2 IS - 1 UR - http://geodesic.mathdoc.fr/item/VMP_2001_2_1_a12/ LA - ru ID - VMP_2001_2_1_a12 ER -
I. O. Arushanyan; G. M. Kobel'kov. Application of a least-squares finite element method to the plane problem of elasticity. Numerical methods and programming, Tome 2 (2001) no. 1, pp. 175-183. http://geodesic.mathdoc.fr/item/VMP_2001_2_1_a12/