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| 二维土壤溶质输运方程基于POD方法的降阶CN有限体积元外推算法 | |
| 引用本文： | 腾飞,罗振东. 二维土壤溶质输运方程基于POD方法的降阶CN有限体积元外推算法[J]. 计算数学, 2014, 36(3): 257-270 |
| 作者姓名： | 腾飞 罗振东 |
| 作者单位： | 1. 凯里学院数学科学学院, 贵州凯里 556011; 2. 华北电力大学数理学院, 北京 102206 |
| 基金项目： | 国家自然科学基金(11271127);贵州省教育厅自然科学研究项目(黔教合KY字[2013]207) |
| 摘 要： | 利用Crank-Nicolson(CN)有限体积元方法和特征投影分解方法建立二维土壤溶质输运方程的一种维数很低、精度足够高的降阶CN有限体积元外推算法,并给出这种外推算法的降阶CN有限体积元解的误差估计和算法的实现.最后用数值例子说明数值结果与理论结果相吻合,并阐明这种降阶CN有限体积元外推算法的优越性. |
| 关 键 词： | 特征投影分解 土壤溶质输运方程 降阶CN有限体积元外推算法 |
| 收稿时间： | 2013-08-27; |
A REDUCED-ORDER CN FINITE VOLUME ELEMENTEXTRAPOLATING ALGORITHM BASED ON POD METHOD FOR TWO-DIMENSIONAL SOILSOLUTE TRANSPORT EQUATIONS |
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| Teng Fei,Luo Zhendong. A REDUCED-ORDER CN FINITE VOLUME ELEMENTEXTRAPOLATING ALGORITHM BASED ON POD METHOD FOR TWO-DIMENSIONAL SOILSOLUTE TRANSPORT EQUATIONS[J]. Mathematica Numerica Sinica, 2014, 36(3): 257-270 | |
| Authors: | Teng Fei Luo Zhendong |
| Affiliation: | 1. School of Mathematics Sciences, Kaili college, Kaili 556011, Guizhou, China; 2. School of Mathematics and Physics, North China Electric Power University, Beijing 102206, China |
| Abstract: | A reduced-order Crank-Nicolson finite volume element (CNFVE) extrapolating algorithm with sufficiently high accuracy and fewer dimensions for two-dimensional soil solute transport equations is established by means of the CNFVE method and POD technique. The error estimates of the reduced-order CNFVE solutions and the implementation of the reduced-order CNFVE extrapolating algorithm are provided. Finally, a numerical example is used to illustrate that the results of numerical computation are consistent with theoretical conclusions. Moreover, the advantage of the reduced-order CNFVE extrapolating algorithm is shown. |
| Keywords: | Proper orthogonal decomposition two-dimensional soil solute transport equations reduced-order Crank-Nicolson finite volume element extrapolating algorithm |
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