[1] Boris J P, Book D L. Flux corrected transport[J]. SHASTA J Comput Phys, 1973, 2(1):36-69.
[2] Pironneau O. On the transport-diffusion algorithm and its applications to the Navier-Stokes equations[J]. Numer Math, 1982, 38(2):309-932.
[3] Bermudez A, Rodriguez C, Vilar M A. Solving shallow water equations by a mixed implicit finite element method[J]. IMA J Numer Anal, 1991, 11(1):79-97.
[4] LUO Zhen-dong, ZHU Jiang, ZENG Qing-cun, et al. M ixed finite element methods f or the shallow water equations including current and silt sedimentation (Ⅰ) The continuous-time case [J]. Applied Mathematics and Mechanics (English Edition), 2003, 24(1):80-92. .
[5] XIN Xiao-kang, LIU Ru-xun, JIANG Bo-cheng. Computational Fluid Dynamics [M]. Changsha:National Defence Science Technical Press, 1989. (in Chinese).
[6] ZENG Qing-cun. Silt sedimentation and relevant engineering problem-an example of natural cybernetics[A]. In:Proceeding of the Third International Congress on Industrial and Applied Mathematics[C]. ICIAM95 held in Hamburg, Academic Verlag, 1995, 463-487.
[7] Chipada S, Dawson C N, Martinez M L, et al. Finite element approximations to the system of shallow water equations-Ⅰ:Continuous-time a priori error estimates[J]. SIAM J Numer Anal, 1998, 35 (2):692-711.
[8] Adams R A. Sobolev Spaces[M]. New York:Academic Press, 1975.
[9] Ciarlet P G. The Finite Element Methodfor Elliptic Problems [M]. Amsterdam:North-Holland, 1978.
[10] LUO Zhen-dong. Theory Bases and Applications of Finite Element and Mixed Finite Element Methods, Evolutions and Applications [M]. Jinan:Shandong Educational Press, 1996. (in Chinese).
[11] Brezzi F, Fortin M. Mixed and Hybrid Finite Element Methods[M]. Berlin, Heidelberg, New York:Springer-Verlag, 1991.
[12] Girault V, Raviart P A. Finite Element Approximations of the Navier-Stokes Equations [M]. Berlin Beidelberg, New York:Springer-Verlag, 1979. |
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