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二维非线性对流扩散方程特征有限元方法

, PP. 105-110

Keywords: 对流扩散方程,特征有限元方法,误差估计,对流占优,Sobolev空间

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Abstract:

应用特征有限元Galerkin方法,研究对流占优的二维非线性对流-扩散方程的数值求解问题。建立了非线性对流-扩散方程的特征有限元Galerkin形式,给出了特征有限元法的最优阶误差估计。误差分析及数值结果表明,该方法具有较好的收敛性与稳定性,并且克服了用有限元或差分法经常出现的数值振荡现象。

References

[1]  Douglas J J,Russell T F.Numerical methods for convection-dominated diffusion problems based on combining the method of characteristics with finite element or finite difference procedures[J].SIAM J Numer Anal,1982,19(5):871-885.
[2]  Russell T F.Time stepping along characteristics with incomplete iteration for a Galerkin approximation of miscible displacement in porous media [J].SIAM J Numer Anal,1985,22(5):970-1030.
[3]  Dawson C N,Russell T.Wheeler M F.Some improved error estimates for the modified method of characteristics[J].SIAM J Numer Anal,1989,26(6):1487-1512.
[4]  袁益让.在多孔介质中完全可压缩可混溶驱动问题的差分方法[J].计算数学,1993,15(1):16-28. YUAN Yi-rang.Finite difference methods for a compressible miscible displacement problem in porous media[J].Mathematica Numerica Sinica,1993,15(1):16-28.
[5]  CHEN Z X.Relationships among characteristic finite element methods for advection diffusion problems[J].Journal of the Korean SIAM,2002(6):1-15.
[6]  CHEN Z X.Characteristic mixed discontinuous finite element methods for advection dominated diffusion problems[J].Computer Methods in Applied Mechanics and Engineering,2002,191(23/24):2509-2538.
[7]  张引娣,李开泰.非线性对流扩散方程特征有限元法的误差估计[J].长安大学学报:自然科学版,2004,24(6):106-110. ZHANG Yin-di,LI Kai-tai.The error estimates of the characteristic finite element method for nonlinear advection-diffusion equation[J].Journal of Chang'an University:Natural Science Edition,2004,24(6):106-110.
[8]  李开泰,马逸尘.数理方程Hilbert空间方法[M].西安:西安交通大学出版社,1992.
[9]  李开泰,黄庆怀.有限元方法及其应用[M].西安:西安交通大学出版社,1992.
[10]  揣锦华,李军民.C++程序设计语言[M].西安:西安电子科技大学出版社,2003.

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