MIXED FINITE ELEMENT METHODS FOR THE SHALLOW WATER EQUATIONS INCLUDING CURRENT A

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

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.水利论文EenS7]Up5L6I:q$J+^

作 者: 罗振东 朱江 曾庆存 谢正辉  
作者单位:罗振东(Department of Mathematics, Capital Normal University, Beijing 100037, P.R. China;Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, P.R. China)水利论文N2BY6F AP Fq
朱江,曾庆存,谢正辉(Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, P.R. China) 
刊 名:应用数学和力学(英文版)  EI SCI
英文刊名:APPLIED MATHEMATICS AND MECHANICS(ENGLISH EDITION) 
年,卷(期):2004 25(1) 
分类号:O241.4 
关键词:mixed finite element method   shallow water equation   error estimate   current and silt sedimentation  
机标关键词:CURRENT AND SILT SEDIMENTATIONSHALLOW WATER EQUATIONSMETHODS FORerror estimatesmixed finite elementgeneralized solutiontransport equationinitial conditionstopography changewater dynamicsvalue problem 
基金项目:国家自然科学基金,Outstanding Young Scientist Fund of China,Beijing Excellent Talent Special Foundat,中国科学研重点工程 
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