数学季刊 ›› 2024, Vol. 39 ›› Issue (4): 355-365.doi: 10.13371/j.cnki.chin.q.j.m.2024.04.002

• • 上一篇    下一篇

水沙输运模型的间断有限元方法

  

  1. 1. School of Mathematics and Statistics, Henan University, Kaifeng 475004, China; 2. Henan Key Laboratory of Earth System Observation and Modeling, Henan University, Kaifeng 475004, China; 3. The Academy for Advanced Interdisplinary Studies, Henan University, Zhengzhou 450046, China; 4. Institute of Mathematics and Physics, Beijing Union University, Beijing 100101, China; 5. Institute of Fundamental and Interdisciplinary Sciences, Beijing Union University, Beijing 100101, China

  • 收稿日期:2024-03-08 出版日期:2024-12-30 发布日期:2024-12-30
  • 通讯作者: WANG Bo (1976-), female, native of Liaocheng, Shandong, professor of Henan University, engages in PDE; E-mail:wb2008@henu.edu.cn.
  • 作者简介:ZHANG Ren-peng (1999-), male, native of Taian, Shandong, graduate student of Henan University, engages in PDE; WANG Bo (1976-), female, native of Liaocheng, Shandong, professor of Henan University, engages in PDE; WANG Qiang (1977-), male, native of Beijing, lecturer of Beijing Union University, engages in PDE.
  • 基金资助:
    Supported by the National Natural Science Foundation of China (Grant No. 41930643) and the Natural Science Foundation of Henan Province (Grant No. 232300420109).

Discontinuous Galerkin Method for Hydrodynamic and Sediment Transport Model

  1. 1. School of Mathematics and Statistics, Henan University, Kaifeng 475004, China; 2. Henan Key Laboratory of Earth System Observation and Modeling, Henan University, Kaifeng 475004, China; 3. The Academy for Advanced Interdisplinary Studies, Henan University, Zhengzhou 450046, China; 4. Institute of Mathematics and Physics, Beijing Union University, Beijing 100101, China; 5. Institute of Fundamental and Interdisciplinary Sciences, Beijing Union University, Beijing 100101, China
  • Received:2024-03-08 Online:2024-12-30 Published:2024-12-30
  • Contact: WANG Bo (1976-), female, native of Liaocheng, Shandong, professor of Henan University, engages in PDE; E-mail:wb2008@henu.edu.cn.
  • About author:ZHANG Ren-peng (1999-), male, native of Taian, Shandong, graduate student of Henan University, engages in PDE; WANG Bo (1976-), female, native of Liaocheng, Shandong, professor of Henan University, engages in PDE; WANG Qiang (1977-), male, native of Beijing, lecturer of Beijing Union University, engages in PDE.
  • Supported by:
    Supported by the National Natural Science Foundation of China (Grant No. 41930643) and the Natural Science Foundation of Henan Province (Grant No. 232300420109).

PDF (PC)

0

摘要： In this article, we propose and research a first-order, linearized discontinuous Galerkin method for the approximation of the hydrodynamic and sediment transport model. The method is decoupled and fully discrete, and is shown to be unconditionally
stable. Furthermore, error estimates are proved. Finally, the theoretical analysis is confirmed by numerical examples.

关键词: Discontinuous Galerkin method, Stability analysis, Error estimates

Abstract: In this article, we propose and research a first-order, linearized discontinuous Galerkin method for the approximation of the hydrodynamic and sediment transport model. The method is decoupled and fully discrete, and is shown to be unconditionally
stable. Furthermore, error estimates are proved. Finally, the theoretical analysis is confirmed by numerical examples.

Key words: Discontinuous Galerkin method, Stability analysis, Error estimates

中图分类号: 

版权所有 © 《数学季刊》编辑部
地址：河南省开封市明伦街85号河南大学数学季刊编辑部
电话：0371-23881698　E-mail: sxjk@henu.edu.cn　QQ: 2454327236
本系统由北京玛格泰克科技发展有限公司设计开发　技术支持：support@magtech.com.cn