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High Accuracy Finite Volume Element Method for Second Order Elliptic Partial Differential Equation 被引量:2

High Accuracy Finite Volume Element Method for Second Order Elliptic Partial Differential Equation
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出处 《河南师范大学学报(自然科学版)》 CAS CSCD 2003年第1期122-122,共1页 Journal of Henan Normal University(Natural Science Edition)
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参考文献1

  • 1[1]Wang Tongke. High accuracy finite volume element method for two-point boundary value problem of second ordinary differential equation. Numerical Mathematics, A Journal of Chinese Universities, 2002,11(2): 197~212

同被引文献12

  • 1Wang,Tongke(王同科).HIGH ACCURACY FINITE VOLUME ELEMENT METHOD FOR TWO-POINT BOUNDARY VALUE PROBLEM OF SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS[J].Numerical Mathematics A Journal of Chinese Universities(English Series),2002,11(2):213-225. 被引量:4
  • 2孙红,王同科.对流扩散方程基于三次自然样条插值特征差分方法[J].天津师范大学学报(自然科学版),2005,25(1):36-39. 被引量:2
  • 3Cai Zhiqiang,Steve McCormick. On the accuracy of the finite volume element method for diffusion equations on composite grid[J]. SIAM J. Numer. Anal, , 1990,27(3): 336-655.
  • 4Suli E. Convergence of finite volume schemes for Poissoffs equation on nonuniform meshes[J]. SIAM J. Numer. Anal. , 1991,28(5) : 1419-1430.
  • 5Jones 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.
  • 6Shu Shi, Yu H aiyuan, H uang Yunqing,Nie Cunyun. A symmetric finite volume element scheme on quadrilateral grids and superconvergence[J]. International Journal of Numerical Analysis and Modeling, 2006, 3(3) :348-360.
  • 7Li Ronghua,Chen Zhongying, Wu Wei. Generalized Difference Methods for Differential Equations Numerical Analysis of Finite Volume Methods[M]. Monographs and Textbooks in Pure and Applied Mathematics 226, Marcel Dekker Inc. ,2000.
  • 8Cai Zhiqiang, Jim Douglas J r, Moongyu Park. Development and analysis of higher order finite volume methods over rectangles for elliptic equations[J]. Advances in Computational Mathematics, 2003,19:3--33
  • 9Wang Tongke. High accuracy finite volume element method for two-point boundary value problem of second ordinary differential equation[J]. Numberical Mathematics,A Journal of Chinese Universities, 2002. 11(2) :197-212.
  • 10Ciarlet P G. The Finite Element Methods for Elliptic Problems[M]. Amsterdam; North-Holland, 1978.

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