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二维土壤溶质输运方程的有限体积元格式 被引量:3

A FINITE VOLUME ELEMENT FORMULATION FOR TWO-DIMENSION SOIL SOLUTE TRANSPORT PROBLEMS
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摘要 本文导出二维的土壤溶质输运方程的有限体积元格式,并分析其误差.通过数值例子说明,有限体积元格式比有限元格式稳定. In this paper, a finite volume element (FVE) formulation for two-dimension solute transport problems is derived, error estimates between FVE solutions and accurate solutions are provided. It is shown by numerical examples that FVE formulation is stabler that finite element formulation for solving two-dimension solute transport problems,
出处 《计算数学》 CSCD 北大核心 2012年第1期57-67,共11页 Mathematica Numerica Sinica
基金 国家自然科学基金(批准号:10871022和11061009) 河北省自然科学基金(批准号:A2010001663) 贵州省科技计划项目(批准号:黔科合J字[2011]2367)
关键词 土壤溶质输运方程 有限体积元格式 有限元格式 误差估计 soil solute transport problem finite volume element formulation finiteelement formulation error estimate
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参考文献22

  • 1雷志栋 杨诗秀 谢森传.土壤水动力学[M].北京:清华大学出版社,1998.223-238.
  • 2Li H R, Luo Z D, Chen J. Finite element simulation based on proper orthogonal decomposition for two-dimensional solute transport problems[J]. Applied Mathematical Modelling, 2011, 35: 2489- 2498.
  • 3李焕荣,罗振东.非粘性土壤中溶质运移问题的守恒混合有限元法及其数值模拟[J].计算数学,2010,32(2):183-194. 被引量:8
  • 4Cai Z, McCormick S. On the accuracy of the finite volume element method for diffusion equations on composite grid[J]. SIAM Journal on Numerical Analysis 1990, 27(3): 636-655.
  • 5Siili E. Convergence of finite volume schemes for Poisson's equation on nonuniform meshes[J]. SIAM Journal on Numerical Analysis 1991, 28(5): 1419-1430.
  • 6Jones W P, Menziest K R. Analysis of the cell-centred finite volume method for the diffusion equation[J]. Journal of Computational Physics, 2000, 165: 45-68.
  • 7Bank R E, Rose D J. Some error estimates for the box methods[J]. SIAM Journal on Numerical Analysis, 1987, 24(4): 777-787.
  • 8Li R H, Chen Z Y, Wu W. Generalized Difference Methods for Differential Equations-Numerical Analysis of Finite Volume Methods[M]. Monographs and Textbooks in Pure and Applied Mathe- matics 226. New York: Marcel Dekker Inc., 2000.
  • 9Yong-hai Li,Rong-hua Li(Institute of Mathematics, Jinn University, Changchun 130023, China).GENERALIZED DIFFERENCE METHODS ON ARBITRARYQUADRILATERAL NETWORKS[J].Journal of Computational Mathematics,1999,17(6):653-672. 被引量:23
  • 10Chatzipantelidis P, Lazarrov R D, Thomee V. Error estimates for a finite volume element method for parabolic equations in convex in polygonal domains[J]. Numerical Methods for Partial Differ- ential Equations, 2004, 20: 650-674.

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