首页 | 本学科首页   官方微博 | 高级检索  
     检索      

对流占优扩散问题的经济型流线扩散有限元法
引用本文:孙澈,曹松.对流占优扩散问题的经济型流线扩散有限元法[J].计算数学,2004,26(3):367-384.
作者姓名:孙澈  曹松
作者单位:1. 南开大学,天津,300071
2. 铁道科学研究院电子所,北京,100081
摘    要:In this paper, the economical finite difference-streamline diffusion (EFDSD) schemes based on the linear F.E. space for time-dependent linear and non-linear convection-dominated diffusion problems are constructed. The stability and error estimation with quasi-optimal order approximation are established in the norm stronger than L^2 - norm for the schemes considered. It is indicated by the results obtained that,for linear F.E. space, the EFDSD schemes have the same specific properties of stability and convergence as the traditional FDSD schemes for the problems discussed.

关 键 词:对流占优扩散问题  有限元算法  流线扩散法  FDSD方法  检验函数  稳定性  误差估计

ECONOMICAL FINITE DIFFERENCE-STREAMLINE DIFFUSION METHOD FOR CONVECTION-DOMINATED DIFFUSION PROBLEMS
Sun Che.ECONOMICAL FINITE DIFFERENCE-STREAMLINE DIFFUSION METHOD FOR CONVECTION-DOMINATED DIFFUSION PROBLEMS[J].Mathematica Numerica Sinica,2004,26(3):367-384.
Authors:Sun Che
Institution:Sun Che (Nankai University, Tianjin, 300071) Cao Song (Institute of Computing Technology, China Academy of Railway Sciences, Beijing, 100081)
Abstract:In this paper, the economical finite difference-streamline diffusion (EFDSD) schemes based on the linear F.E. space for time-dependent linear and non-linear convection-dominated diffusion problems are constructed. The stability and error estimation with quasi-optimal order approximation are established in the norm stronger than L2 - norm for the schemes considered. It is indicated by the results obtained that,for linear F.E. space, the EFDSD schemes have the same specific properties of stability and convergence as the traditional FDSD schemes for the problems discussed.
Keywords:Convection-Dominated Diffusion Problem  Economic Streamline Diffusion FEM  Artificial Viscosity  
本文献已被 CNKI 维普 万方数据 等数据库收录!
点击此处可从《计算数学》浏览原始摘要信息
点击此处可从《计算数学》下载免费的PDF全文
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号