J4 ›› 2009, Vol. 44 ›› Issue (8): 90-96.

• Articles • Previous Articles    

The dynamic finite element method with characteristics for convectiondominated diffusion problems

  

  1.   LI Zhi-Chao: School of Petroleum Engineering, China University of Petroleum, Dongying 257 061, Shandong, China;
    FU Gong-Fei:School of Mathematics and System Science, Shandong University, Jinan 250100 , Shandong, China
  • Received:2008-12-01 Online:2009-08-16 Published:2009-11-08

Abstract:

The method of characteristics is combined with dynamic  finite element spaces based on the moving grids method to create a fully discrete characteristic dynamic finite element procedure for the solution of  second order linear convectiondominated diffusion problems. The procedure is proved to be stable. Convergence analysis and error estimates are established, which  show that the error estimate in the energy norm is optimal when Mh4/Δt is bounded. Both the L2-norm and the energy norm error  estimate are optimal when  Mh2/Δt is bounded, where M is the total number of gridschanging. h and Δt are the spatial and temporal mesh parameters respectively. 

Key words: dynamic finite element spaces; characteristic method;  negative-norm estimate; convection-dominated diffusion problems
〖BT1〗〖STFZ

CLC Number: 

  • O241.8
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