Standard

Iterative methods of solving systems of equations of the finite element method. / Korneev, V. G.

в: USSR Computational Mathematics and Mathematical Physics, Том 17, № 5, 1977, стр. 109-129.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Korneev, VG 1977, 'Iterative methods of solving systems of equations of the finite element method', USSR Computational Mathematics and Mathematical Physics, Том. 17, № 5, стр. 109-129. https://doi.org/10.1016/0041-5553(77)90014-3

APA

Korneev, V. G. (1977). Iterative methods of solving systems of equations of the finite element method. USSR Computational Mathematics and Mathematical Physics, 17(5), 109-129. https://doi.org/10.1016/0041-5553(77)90014-3

Vancouver

Korneev VG. Iterative methods of solving systems of equations of the finite element method. USSR Computational Mathematics and Mathematical Physics. 1977;17(5):109-129. https://doi.org/10.1016/0041-5553(77)90014-3

Author

Korneev, V. G. / Iterative methods of solving systems of equations of the finite element method. в: USSR Computational Mathematics and Mathematical Physics. 1977 ; Том 17, № 5. стр. 109-129.

BibTeX

@article{789cb4af526048d6a7808460cbc56971,
title = "Iterative methods of solving systems of equations of the finite element method",
abstract = "THE CONSTRUCTION of schemes of the finite-element method of an arbitrary order of accuracy for second-order elliptic equations in arbitrary sufficiently smooth regions is accomplished in such a way that they are spectrally equivalent to the simplest finite difference approximations of the Laplace equation on a uniform orthogonal mesh. This enables us to construct efficient iterative methods for solving these schemes. Iterative methods on sequences of discharging networks, leading to optimal-order estimates of the number of arithmetic operations are also considered. The results obtained lead to the development of economy of schemes of high orders of accuracy.",
author = "Korneev, {V. G.}",
year = "1977",
doi = "10.1016/0041-5553(77)90014-3",
language = "English",
volume = "17",
pages = "109--129",
journal = "Computational Mathematics and Mathematical Physics",
issn = "0965-5425",
publisher = "МАИК {"}Наука/Интерпериодика{"}",
number = "5",

}

RIS

TY - JOUR

T1 - Iterative methods of solving systems of equations of the finite element method

AU - Korneev, V. G.

PY - 1977

Y1 - 1977

N2 - THE CONSTRUCTION of schemes of the finite-element method of an arbitrary order of accuracy for second-order elliptic equations in arbitrary sufficiently smooth regions is accomplished in such a way that they are spectrally equivalent to the simplest finite difference approximations of the Laplace equation on a uniform orthogonal mesh. This enables us to construct efficient iterative methods for solving these schemes. Iterative methods on sequences of discharging networks, leading to optimal-order estimates of the number of arithmetic operations are also considered. The results obtained lead to the development of economy of schemes of high orders of accuracy.

AB - THE CONSTRUCTION of schemes of the finite-element method of an arbitrary order of accuracy for second-order elliptic equations in arbitrary sufficiently smooth regions is accomplished in such a way that they are spectrally equivalent to the simplest finite difference approximations of the Laplace equation on a uniform orthogonal mesh. This enables us to construct efficient iterative methods for solving these schemes. Iterative methods on sequences of discharging networks, leading to optimal-order estimates of the number of arithmetic operations are also considered. The results obtained lead to the development of economy of schemes of high orders of accuracy.

UR - http://www.scopus.com/inward/record.url?scp=0040431994&partnerID=8YFLogxK

U2 - 10.1016/0041-5553(77)90014-3

DO - 10.1016/0041-5553(77)90014-3

M3 - Article

AN - SCOPUS:0040431994

VL - 17

SP - 109

EP - 129

JO - Computational Mathematics and Mathematical Physics

JF - Computational Mathematics and Mathematical Physics

SN - 0965-5425

IS - 5

ER -

ID: 86586899