Incremental unknowns method for solving three-dimensional convection-diffusion equations
Numer. Math. J. Chinese Univ. (English Ser.)(English Ser.) 16 (2007), pp. 14-27
Published online: 2007-02
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@Article{NM-16-14,
author = {L. Song and Y. Wu},
title = {Incremental unknowns method for solving three-dimensional convection-diffusion equations},
journal = {Numerical Mathematics, a Journal of Chinese Universities},
year = {2007},
volume = {16},
number = {1},
pages = {14--27},
abstract = {
We use the incremental unknowns method in conjunction with the iterative
methods to approximate the solution of the nonsymmetric and
positive-definite linear systems generated from a multilevel
discretization of three-dimensional convection-diffusion equations.
The condition numbers of incremental unknowns matrices associated
with the convection-diffusion equations and the number of iterations
needed to attain an acceptable accuracy are estimated. Numerical
results are presented with two-level approximations, which
demonstrate that the incremental unknowns method when combined with
some iterative methods is very efficient.},
issn = {},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/nm/8046.html}
}
TY - JOUR
T1 - Incremental unknowns method for solving three-dimensional convection-diffusion equations
AU - L. Song & Y. Wu
JO - Numerical Mathematics, a Journal of Chinese Universities
VL - 1
SP - 14
EP - 27
PY - 2007
DA - 2007/02
SN - 16
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/nm/8046.html
KW -
AB -
We use the incremental unknowns method in conjunction with the iterative
methods to approximate the solution of the nonsymmetric and
positive-definite linear systems generated from a multilevel
discretization of three-dimensional convection-diffusion equations.
The condition numbers of incremental unknowns matrices associated
with the convection-diffusion equations and the number of iterations
needed to attain an acceptable accuracy are estimated. Numerical
results are presented with two-level approximations, which
demonstrate that the incremental unknowns method when combined with
some iterative methods is very efficient.
L. Song and Y. Wu. (2007). Incremental unknowns method for solving three-dimensional convection-diffusion equations.
Numerical Mathematics, a Journal of Chinese Universities. 16 (1).
14-27.
doi:
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