A new mixed finite element method based on the Crank-Nicolson scheme for the parabolic problems

Zhifeng Weng; Xinlong Feng; Pengzhan Huang

首页> 外文期刊>Applied Mathematical Modelling >A new mixed finite element method based on the Crank-Nicolson scheme for the parabolic problems

【24h】

A new mixed finite element method based on the Crank-Nicolson scheme for the parabolic problems

机译：基于Crank-Nicolson格式的抛物线问题的新型混合有限元方法

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

In this paper, we present a new mixed finite element method based on the less regularity of flux (velocity) for the parabolic problems in practice. Based on this new formulation, we give its corresponding stable conforming finite element approximation for the P_0~2-P_1 pair by using Crank-Nicolson time-discretization scheme. Moreover, we derive optimal error estimates in H~1-norm and L~2-norm for the approximation of pressure p and in L~2-norm for the approximation of velocity u. Finally, we give some numerical experiments to verify the efficiency and the theoretical results of the new mixed method.

机译：在本文中，我们针对抛物线问题提出了一种基于通量（速度）规律性较小的新混合有限元方法。基于这一新的公式，我们使用Crank-Nicolson时间离散方案给出了P_0〜2-P_1对的对应稳定一致有限元逼近。此外，对于压力p的近似值，我们在H〜1范数和L〜2范数中获得了最优误差估计；对于速度u的近似值，我们在L〜2范数中得到了最优误差估计。最后，我们进行了一些数值实验，以验证新混合方法的效率和理论结果。

著录项

来源
《Applied Mathematical Modelling》 |2012年第10期|p.5068-5079|共12页
作者
Zhifeng Weng; Xinlong Feng; Pengzhan Huang;
展开▼
作者单位

College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, PR China;

College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, PR China;

College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, PR China;

展开▼
收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
mixed finite element method; stable conforming finite element; crank-nicolson scheme; inf-sup condition; parabolic problems;

机译：混合有限元法稳定一致的有限元;曲柄尼科尔森方案干扰条件抛物线问题;

相似文献

外文文献
中文文献
专利

1. Two-grid Raviart-Thomas mixed finite element methods combined with Crank-Nicolson scheme for a class of nonlinear parabolic equations [J] . Advances in computational mathematics . 2020,第2期

机译：两栅格Rawiart-Thomas混合有限元方法与一类非线性抛物方程的曲柄 - 尼古尔森方案相结合
2. Two-grid P_0~2-P_1 mixed finite element methods combined with Crank-Nicolson scheme for a class of nonlinear parabolic equations [J] . Hou Tianliang, Jiang Wenzhu, Yang Yueting, Applied numerical mathematics . 2019,第MARa期

机译：一类非线性抛物方程的两网格P_0〜2-P_1混合有限元方法与Crank-Nicolson格式
3. A new mixed finite element method based on the Crank-Nicolson scheme for Burgers' equation [J] . Hu Xiaohui, Huang Pengzhan, Feng Xinlong Applications of mathematics . 2016,第1期

机译：基于Crank-Nicolson方案的Burgers方程的新混合有限元方法
4. Error estimates of variational discretization and mixed finite element methods for semilinear parabolic optimal control problems [C] . Zuliang Lu, Xiao Huang 2011 2nd International Conference on Artificial Intelligence, Management Science and Electronic Commerce . 2011

机译：半线性抛物线最优控制问题的变分离散化和混合有限元方法的误差估计
5. An efficient, semi-implicit pressure-based scheme employing a high-resolution finite element method for simulating transient and steady, inviscid and viscous, compressible flows on unstructured grids. [D] . Martineau, Richard Charles. 2002

机译：一个有效的，基于隐式压力的方案，该方案采用高分辨率有限元方法来模拟非结构化网格上的瞬态和稳态，不粘稠和可压缩的流动。
6. Error analysis for discretizations of parabolic problems using continuous finite elements in time and mixed finite elements in space [O] . Markus Bause, Florin A. Radu, Uwe Köcher -1

机译：使用时间连续有限元和空间混合有限元对抛物线问题离散化的误差分析
7. A new mixed finite element method based on the Crank-Nicolson scheme for Burgers' equation [O] . Hu, Xiaohui, Huang, Pengzhan, Feng, Xinlong 2016

机译：基于Crank-Nicolson方案的Burgers方程的新混合有限元方法

A new mixed finite element method based on the Crank-Nicolson scheme for the parabolic problems

摘要

著录项

相似文献

相关主题

期刊订阅