| Incremental Unknowns Method for Solving Three-Dimensional Convection-Diffusion Equations |
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| 作者姓名： | Lunji Song Yujiang Wu |
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| 作者单位： | Lunji Song and Yujiang Wu School of Mathematics and Statistics，Lanzhou University，Lanzhou 730000，China. |
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| 摘 要： | 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 iter- ative methods is very effcient.
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| 关 键 词： | 逻辑积 扩散方程 离散化 迭代法 |
| 收稿时间： | 2005-06 |
| 修稿时间： | 2006-01-19 |
Incremental Unknowns Method for Solving Three-Dimensional Convection-Diffusion Equations |
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| Lunji Song Yujiang Wu.Incremental Unknowns Method for Solving Three-Dimensional Convection-Diffusion Equations[J].Numerical Mathematics A Journal of Chinese Universities English Series,2007,16(1):14-27. |
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| Authors: | Lunji Song Yujiang Wu |
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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 iter- ative methods is very effcient. |
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| Keywords: | Incremental unknowns finite difference convection-diffusion equation |
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