Volume 16, Issue 1
Incremental unknowns method for solving three-dimensional convection-diffusion equations

L. Song & Y. Wu

Numer. Math. J. Chinese Univ. (English Ser.)(English Ser.) 16 (2007), pp. 14-27

Published online: 2007-02

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  • 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.
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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 & Y. Wu. (1970). 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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