OPTIMAL ERROR ESTIMATES OF A DECOUPLED SCHEME BASED ON TWO-GRID FINITE ELEMENT FOR MIXED NAVIER-STOKES/DARCY MODEL

数学物理学报(英文版) ›› 2018, Vol. 38 ›› Issue (4): 1361-1369.

OPTIMAL ERROR ESTIMATES OF A DECOUPLED SCHEME BASED ON TWO-GRID FINITE ELEMENT FOR MIXED NAVIER-STOKES/DARCY MODEL

秦毅, 侯延仁

School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an 710049, China

收稿日期:2016-06-08 修回日期:2017-04-30 出版日期:2018-08-25 发布日期:2018-08-25
作者简介:Yi QIN,E-mail:qinyi1991@stu.xjtu.edu.cn;Yanren HOU,E-mail:yrhou@mail.xjtu.edu.cn
基金资助:
Subsidized by NSFC (11571274 and 11171269) and the Ph.D. Programs Foundation of Ministry of Education of China (20110201110027).

OPTIMAL ERROR ESTIMATES OF A DECOUPLED SCHEME BASED ON TWO-GRID FINITE ELEMENT FOR MIXED NAVIER-STOKES/DARCY MODEL

Yi QIN, Yanren HOU

School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an 710049, China

Received:2016-06-08 Revised:2017-04-30 Online:2018-08-25 Published:2018-08-25
Supported by:
Subsidized by NSFC (11571274 and 11171269) and the Ph.D. Programs Foundation of Ministry of Education of China (20110201110027).

摘要/Abstract

摘要：

Although the two-grid finite element decoupled scheme for mixed Navier-Stokes/Darcy model in literatures has given the numerical results of optimal convergence order, the theoretical analysis only obtain the optimal error order for the porous media flow and a non-optimal error order for the fluid flow. In this article, we give a more rigorous of the error analysis for the fluid flow and obtain the optimal error estimates of the velocity and the pressure.

关键词: Navier-Stokes equation, Darcy's law, two-grid method, optimal error estimate

Abstract:

Key words: Navier-Stokes equation, Darcy's law, two-grid method, optimal error estimate

秦毅, 侯延仁. OPTIMAL ERROR ESTIMATES OF A DECOUPLED SCHEME BASED ON TWO-GRID FINITE ELEMENT FOR MIXED NAVIER-STOKES/DARCY MODEL[J]. 数学物理学报(英文版), 2018, 38(4): 1361-1369.

Yi QIN, Yanren HOU. OPTIMAL ERROR ESTIMATES OF A DECOUPLED SCHEME BASED ON TWO-GRID FINITE ELEMENT FOR MIXED NAVIER-STOKES/DARCY MODEL[J]. Acta mathematica scientia,Series B, 2018, 38(4): 1361-1369.

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OPTIMAL ERROR ESTIMATES OF A DECOUPLED SCHEME BASED ON TWO-GRID FINITE ELEMENT FOR MIXED NAVIER-STOKES/DARCY MODEL

OPTIMAL ERROR ESTIMATES OF A DECOUPLED SCHEME BASED ON TWO-GRID FINITE ELEMENT FOR MIXED NAVIER-STOKES/DARCY MODEL

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