期刊文献+

对流扩散方程间断有限元方法的后验误差估计指 被引量:5

下载PDF
导出
摘要 对于一维奇异摄动对流扩散方程,用间断有限元方法求解,基于局部间断有限元(LDG)方法求解对流扩散方程的超收敛性质,建立了一个后验误差估计指,数值例子证实了理论证明的可靠性.
作者 张作政
出处 《长沙大学学报》 2012年第2期1-2,共2页 Journal of Changsha University
基金 湖南省教育厅一般资助项目(批准号:10C0410) 湖南师范大学省部共建实验室开放课题项目(批准号:HS201110) 长沙大学人才引进项目(批准号:SF0904)
  • 相关文献

参考文献5

  • 1Adjerid S,Klauser A. Superconvergence of discontinuous finite ele- ment solutions of transient convection -diffusion problems[J].Jour- nal of Scientific Computing,2005,(1 - 3):5-24.
  • 2Coekburn B,Shu C. The local discontinuous Galerkin method for time - dependent convection - diffusion systems[J].SIAM Journal on Numerical Analysis,1998,(06):2440-2463.
  • 3Castillo P,Cockburn B,Schotzau D. Optimal a priori error estimates for the hp - version of the local discontinuous Galerkin method for convection - diffusion problems[J].Mathematics of Computation,2002,(238):455-478.doi:10.1090/S0025-5718-01-01317-5.
  • 4Xie Z,Zhang Z. A numerical study of uniform superconve- rgence of LDG method for solving singularly perturbed problems[J].Journal of Computational Mathematics,2009,(2 -3):280-289.
  • 5Zhang Z,Xie Z. Superconvergence of discontinuous Galer- kin methods for convection - diffusion problems[J].Journal of Scien- tific Computing,2009,(01):70-93.

同被引文献30

  • 1李宗翔,刘剑,马云东.采空区自燃火灾气体钻孔导流的数值模拟研究[J].中国安全科学学报,2004,14(4):107-110. 被引量:15
  • 2李宗翔,吴志君,王振祥.采空区遗煤自燃升温过程的数值模型及其应用[J].安全与环境学报,2004,4(6):58-61. 被引量:33
  • 3杨继明.对流占优对流扩散方程的间断有限元(DG)解法[J].湖南工程学院学报(自然科学版),2006,16(1):67-69. 被引量:5
  • 4Cockburn B,Shu Chiwang. The local discontinuous Galerkin finite element method for convection-diffusion systems[J]. SIAM J Numer Anal,1998,35(2) :2440.
  • 5Cockburn B. Discontinuous Galerkin methods forconvection-dominated problems high-oder methods for computational physics[R]//Barth T, Deeonick H. Lecture Notes in Computational Science and Engineering, Vol 9. Berlin: Sprnger, 1999:69.
  • 6Castillo P,Coekburn B. Optimal a priori error estimates for the hp-version of the local discontinuous Galerkin method for convection-diffusion problems[J]. Mathematics of Computation, 2001,71 (1) : 455.
  • 7Zhang Zouzheng,Xie Ziqing,Tao Xia. A roubust discontinuous Galerkin method for solving convection-diffusion problems [J]. SIAM Acta Math Appl Sinica, 2008,24(3):483.
  • 8肖捷,刘韶鹏.求解间断系数椭圆型问题的一种改进的DG方法[J].计算数学,2007,29(4):377-390. 被引量:3
  • 9Cockbum B, Shu C. The local discontinuous Galerkin method for time - dependent convection - diffusion systems [ J ]. SIAM Journal on Numerical Analysis, 1998, ( 6 ) :2440 - 2463.
  • 10Xie Z, Chen C. The interpolated coefficient FEM and its application in computing the multiple solutions of semilinear elliptic problems [ J ]. International Journal of Numerical Analysis and Modeling, 2005, ( 1 ) :97 - 106.

引证文献5

二级引证文献3

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部