Applied Mathematics and Mechanics (English Edition) ›› 2004, Vol. 25 ›› Issue (1): 80-92.

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MIXED FINITE ELEMENT METHODS FOR THE SHALLOW WATER EQUATIONS INCLUDING CURRENT AND SILT SEDIMENTA-TION(Ⅰ)-THE CONTINUOUS-TIME CASE

LUO Zhen-dong1,2, ZHU Jiang2, ZENG Qing-cun2, XIE Zheng-hui2   

  1. 1. Department of Mathematics, Capital Normal University, Beijing 100037, P. R. China;
    2. Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, P. R. China
  • Received:2001-08-08 Revised:2003-08-28 Online:2004-01-18 Published:2004-01-18
  • Supported by:

    the National Natural Science Foundation of China(10071052,49776283);the Outstanding Young Scientist Fund of China(40225015);the "Plan of Hundred Talents" of Chinese Academy of Sciences;the Beijing Excellent Talent Special Foundat;the "9.5" Key Project Foundation of Chinese Academy of Sciences(K2952-51-434)

Abstract: An initial-boundary value problem for shallow equation system consisting of water dynamics equations,silt transport equation, the equation of bottom topography change,and of some boundary and initial conditions is studied, the existence of its generalized solution and semidiscrete mixed finite element(MFE) solution was discussed, and the error estimates of the semidiscrete MFE solution was derived.The error estimates are optimal.

2010 MSC Number: 

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