| TWO-GRID METHOD FOR CHARACTERISTICS FINITE-ELEMENT SOLUTION OF 2D NONLINEAR CONVECTION-DOMINATED DIFFUSION PROBLEM |
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| 作者姓名： | 秦新强 马逸尘 章胤 LI Jia-chun |
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| 作者单位： | School of Sciences，Xi’an Jiaotong University，Xi’an 710049，P.R.China，School of Sciences，Xi’an University of Technology，Xi’an 710048，P.R.China |
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| 基金项目： | Project supported by the National Natural Science Foundation of China （ No. 10371069 ） and the Shaanxi Education Committee Science Foundation （No. 02JK048 ） |
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| 摘 要： | Introduction Convection diffusionequationgovernssuchphenomenaastheflowofheatwithina movingfluid,thetransportofdissolvednutrientsorcontaminantswithinthegroundwater,andthetransportofasurfactantortracerwithinanincompressibleoilinapetroleum reservoir.Weconsid…
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| 关 键 词： | 有限元分析 非线性传递 扩散方程 迭代法 稳定性 |
| 文章编号： | 0253-4827（2005）11-1506-09 |
| 收稿时间： | 2003-07-08 |
| 修稿时间： | 2005-07-19 |
Two-grid method for characteristics finite-element solution of 2d nonlinear convection-dominated diffusion problem |
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| Xin-qiang Qin,Yi-chen Ma,Yin Zhang.TWO-GRID METHOD FOR CHARACTERISTICS FINITE-ELEMENT SOLUTION OF 2D NONLINEAR CONVECTION-DOMINATED DIFFUSION PROBLEM[J].Applied Mathematics and Mechanics(English Edition),2005,26(11):1506-1514. |
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| Authors: | Xin-qiang Qin Yi-chen Ma Yin Zhang |
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| Institution: | 1. School of Sciences, Xi’an Jiaotong University, Xi’an, 710049, P.R.China
2. School of Sciences, Xi’an University of Technology, X’an, 710048, P.R.China
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| Abstract: | For two-dimension nonlinear convection diffusion equation, a two-grid method of characteristics finite-element solution was constructed. In this method the nonlinear iterations is only to execute on the coarse grid and the fine-grid solution can be obtained in a single linear step. For the nonlinear convection-dominated diffusion equation, this method can not only stabilize the numerical oscillation but also accelerate the convergence and improve the computational efficiency. The error analysis demonstrates if the mesh sizes between coarse-grid and fine-grid satisfy the certain relationship, the two-grid solution and the characteristics finite-element solution have the same order of accuracy. The numerical example confirms that the two-grid method is more efficient than that of characteristics finite-element method. |
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| Keywords: | convection-diffusion equation characteristics finite-element two-grid method convergence |
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