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

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

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

罗振东^1,2, 朱江², 曾庆存², 谢正辉²

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

收稿日期:2001-08-08 修回日期:2003-08-28 出版日期:2004-01-18 发布日期:2004-01-18
基金资助:
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)

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

LUO Zhen-dong^1,2, ZHU Jiang², ZENG Qing-cun², XIE Zheng-hui²

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)

摘要/Abstract

摘要： 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.

中图分类号:

O241.4

罗振东;朱江;曾庆存;谢正辉. MIXED FINITE ELEMENT METHODS FOR THE SHALLOW WATER EQUATIONS INCLUDING CURRENT AND SILT SEDIMENTA-TION(Ⅰ)-THE CONTINUOUS-TIME CASE[J]. Applied Mathematics and Mechanics (English Edition), 2004, 25(1): 80-92.

LUO Zhen-dong;ZHU Jiang;ZENG Qing-cun;XIE Zheng-hui. MIXED FINITE ELEMENT METHODS FOR THE SHALLOW WATER EQUATIONS INCLUDING CURRENT AND SILT SEDIMENTA-TION(Ⅰ)-THE CONTINUOUS-TIME CASE[J]. Applied Mathematics and Mechanics (English Edition), 2004, 25(1): 80-92.

参考文献

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

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

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