RESIDUAL A POSTERIORI ERROR ESTIMATE TWO-GRID METHODS FOR THE STEADY (NAVIER-STOKES) EQUATION WITH STREAM FUNCTION FORM

Applied Mathematics and Mechanics (English Edition) ›› 2004, Vol. 25 ›› Issue (5): 546-559.

RESIDUAL A POSTERIORI ERROR ESTIMATE TWO-GRID METHODS FOR THE STEADY (NAVIER-STOKES) EQUATION WITH STREAM FUNCTION FORM

任春风, 马逸尘

College of Science, Xi’an Jiaotong University, Xi’an 710049, P.R.China

收稿日期:2002-06-03 修回日期:2003-12-03 出版日期:2004-05-18 发布日期:2004-05-18
通讯作者: MA Yi-chen,Professor(Tel:+86-29-82660051;Fax:+86-29-82668559;E-mail:ycma@mail.xjtu.edu.cn) E-mail:ycma@mail.xjtu.edu.cn
基金资助:
the National Natural Science Foundation of China(50136030;10371096)

RESIDUAL A POSTERIORI ERROR ESTIMATE TWO-GRID METHODS FOR THE STEADY (NAVIER-STOKES) EQUATION WITH STREAM FUNCTION FORM

REN Chun-feng, MA Yi-chen

College of Science, Xi’an Jiaotong University, Xi’an 710049, P.R.China

Received:2002-06-03 Revised:2003-12-03 Online:2004-05-18 Published:2004-05-18
Supported by:
the National Natural Science Foundation of China(50136030;10371096)

摘要/Abstract

摘要： Residual based on a posteriori error estimates for conforming finite element solutions of incompressible Navier-Stokes equations with stream function form which were computed with seven recently proposed two-level method were derived. The posteriori error estimates contained additional terms in comparison to the error estimates for the solution obtained by the standard finite element method. The importance of these additional terms in the error estimates was investigated by studying their asymptotic behavior. For optimal scaled meshes, these bounds are not of higher order than of convergence of discrete solution.

Abstract: Residual based on a posteriori error estimates for conforming finite element solutions of incompressible Navier-Stokes equations with stream function form which were computed with seven recently proposed two-level method were derived. The posteriori error estimates contained additional terms in comparison to the error estimates for the solution obtained by the standard finite element method. The importance of these additional terms in the error estimates was investigated by studying their asymptotic behavior. For optimal scaled meshes, these bounds are not of higher order than of convergence of discrete solution.

中图分类号:

任春风;马逸尘. RESIDUAL A POSTERIORI ERROR ESTIMATE TWO-GRID METHODS FOR THE STEADY (NAVIER-STOKES) EQUATION WITH STREAM FUNCTION FORM[J]. Applied Mathematics and Mechanics (English Edition), 2004, 25(5): 546-559.

REN Chun-feng;MA Yi-chen . RESIDUAL A POSTERIORI ERROR ESTIMATE TWO-GRID METHODS FOR THE STEADY (NAVIER-STOKES) EQUATION WITH STREAM FUNCTION FORM[J]. Applied Mathematics and Mechanics (English Edition), 2004, 25(5): 546-559.

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RESIDUAL A POSTERIORI ERROR ESTIMATE TWO-GRID METHODS FOR THE STEADY (NAVIER-STOKES) EQUATION WITH STREAM FUNCTION FORM

RESIDUAL A POSTERIORI ERROR ESTIMATE TWO-GRID METHODS FOR THE STEADY (NAVIER-STOKES) EQUATION WITH STREAM FUNCTION FORM

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