| MIXED FINITE ELEMENT METHODS FOR THE SHALLOW WATER EQUATIONS INCLUDING CURRENT AND SILT SEDIMENTATION （Ⅰ）——THE CONTINUOUS-TIME CASE |
| |
| 引用本文： | 罗振东,朱江,曾庆存,谢正辉.MIXED FINITE ELEMENT METHODS FOR THE SHALLOW WATER EQUATIONS INCLUDING CURRENT AND SILT SEDIMENTATION （Ⅰ）——THE CONTINUOUS-TIME CASE[J].应用数学和力学(英文版),2004,25(1):80-92. |
| |
| 作者姓名： | 罗振东 朱江 曾庆存 谢正辉 |
| |
| 作者单位： | [1]DepartmentofMathematics,CapitalNormalUniversity,Beijing100037,P.R.China [2]InstituteofAtmosphericPhysics,ChineseAcademyofSciences,Beijing100029,P.R.China |
| |
| 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.
|
| 关 键 词： | 混合有限元理论 水动力学 泥沙输运方程 边界初值 误差估计 |
| 收稿时间： | 8 August 2001 |
Mixed finite element methods for the shallow water equations including current and silt sedimentation (I)—The continuous-time case |
| |
| Luo?Zhen-dong,Zhu?Jiang,Zeng?Qing-cun,Xie?Zheng-hui.Mixed finite element methods for the shallow water equations including current and silt sedimentation (I)—The continuous-time case[J].Applied Mathematics and Mechanics(English Edition),2004,25(1):80-92. |
| |
| Authors: | Luo Zhen-dong Zhu Jiang Zeng Qing-cun Xie Zheng-hui |
| |
| Institution: | (1) Department of Mathematics, Capital Normal University, 100037 Beijing, P. R. China;(2) Institute of Atmospheric Physics, Chinese Academy of Sciences, 100029 Beijing, P. R. China |
| |
| 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.
Foundation items: 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)
Biographies: LUO Zhen-dong (1958≈), Professor, Doctor (Tel: +86-010-68902352; Fax: +86-010-68902789; E-mail: luozhd@mail.cnu.edu.cn). |
| |
| Keywords: | mixed finite element method shallow water equation error estimate current and silt sedimentation |
| 本文献已被 维普 SpringerLink 等数据库收录！ |
| 点击此处可从《应用数学和力学(英文版)》浏览原始摘要信息 |
| 点击此处可从《应用数学和力学(英文版)》下载免费的PDF全文 |
