A FINITE VOLUME ELEMENT METHOD FOR THERMAL CONVECTION PROBLEMS 被引量：1

A FINITE VOLUME ELEMENT METHOD FOR THERMAL CONVECTION PROBLEMS

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摘要 Consider the finite volume element method for the thermal convection problem with the infinite Prandtl number. The author uses a conforming piecewise linear function on a fine triangulation for velocity and temperature, and a piecewise constant function on a coarse triangulation for pressure. For general triangulation the optimal order H1 norm error estimates are given. Consider the finite volume element method for the thermal convection problem with the infinite Prandtl number. The author uses a conforming piecewise linear function on a fine triangulation for velocity and temperature, and a piecewise constant function on a coarse triangulation for pressure. For general triangulation the optimal order H1 norm error estimates are given.

作者芮洪兴

机构地区 School of Mathematics and System Science

出处《Acta Mathematica Scientia》 SCIE CSCD 2004年第1期129-138,共10页 数学物理学报（B辑英文版）

基金 Supported by National Natural Science Foundation of China(10071044) the Research Fund of Doctoral Program of High Education by State Education Ministry of China.

关键词 Finite volume element method thermal convection problem error estimate Finite volume element method, thermal convection problem, error estimate

分类号 O241.82 [理学—计算数学]

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参考文献12

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引证文献1

1Min YANG.A MULTISTEP FINITE VOLUME METHOD WITH PENALTY FOR THERMAL CONVECTION PROBLEMS IN TWO OR THREE DIMENSIONS[J].Journal of Systems Science & Complexity,2008,21(1):129-143.

1Yuqiong DING,Yonghai LI.FINITE VOLUME ELEMENT METHOD WITH LAGRANGIAN CUBIC FUNCTIONS[J].Journal of Systems Science & Complexity,2011,24(5):991-1006.
2Tongke Wang.Alternating Direction Finite Volume Element Methods for Three-Dimensional Parabolic Equations[J].Numerical Mathematics(Theory,Methods and Applications),2010,3(4):499-522. 被引量：1
3WANG Tong-ke (School of Mathematics and Information Science, Henan Normal University,Xinxiang, 453002,China).High Accuracy Finite Volume Element Method for Second Order Elliptic Partial Differential Equation[J].河南师范大学学报（自然科学版）,2003,31(1):122-122. 被引量：2
4Chuanjun CHEN,Wei LIU,Daigang LU.UPWIND FINITE VOLUME ELEMENT METHODS FOR ONE-DIMENSIONAL SEMICONDUCTOR DEVICE[J].Journal of Systems Science & Complexity,2011,24(5):1007-1019.
5Zhiguang Xiong,Yanping Chen.A TRIANGULAR FINITE VOLUME ELEMENT METHOD FOR A SEMILINEAR ELLIPTIC EQUATION[J].Journal of Computational Mathematics,2014,32(2):152-168.
6Gao Yan-ni,Chen Yan-li,Ma Fu-ming.Biquartic Finite Volume Element Method Based on Lobatto-Guass Structure[J].Communications in Mathematical Research,2015,31(4):320-332.
7Min YANG.A MULTISTEP FINITE VOLUME METHOD WITH PENALTY FOR THERMAL CONVECTION PROBLEMS IN TWO OR THREE DIMENSIONS[J].Journal of Systems Science & Complexity,2008,21(1):129-143.
8Chunjia Bi.Mortar Upwind Finite Volume Element Method with Crouzeix-Raviart Element for Parabolic Convection Diffusion Problems[J].Numerical Mathematics A Journal of Chinese Universities(English Series),2006,15(1):82-96.
9钱俭.Turbulent Prandtl Number[J].Science China Mathematics,1994,37(11):1347-1353.
10Hong-xing Rui.Analysis on a Finite Volume Element Method for Stokes Problems[J].Acta Mathematicae Applicatae Sinica,2005,21(3):359-372.

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A FINITE VOLUME ELEMENT METHOD FOR THERMAL CONVECTION PROBLEMS 被引量：1

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