Superconvergence of the bernadi-raugel mixed finite element approximation for the three-dimensional stokes problem

Jia Fu Lin; Qian Li

Superconvergence of the bernadi-raugel mixed finite element approximation for the three-dimensional stokes problem

Jia Fu Lin^*
, Qian Li

^*Corresponding author for this work

School of Mathematics and Statistics

Beijing Institute of Technology

Research output: Contribution to journal › Article › peer-review

Abstract

Superconvergence of a mixed finite element approximation for the three-dimensional Stokes problem is presented. By using the Bernadi-Raugel mixed finite elements which satisfies the Babuska-Brezzi condition a basic error is gained. Considering the problem on the piecewise uniform cuboid elements in the three-dimensional space, the convergence rate of the solution can be increased an order by using the interpolation and Bramble-Hibert lemma.

Original language	English
Pages (from-to)	1092-1095
Number of pages	4
Journal	Beijing Ligong Daxue Xuebao/Transaction of Beijing Institute of Technology
Volume	25
Issue number	12
Publication status	Published - Dec 2005

Keywords

Bernadi-Raugel element
Mixed finite elements
Post-processing
Stokes problem
Superconvergence

Cite this

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title = "Superconvergence of the bernadi-raugel mixed finite element approximation for the three-dimensional stokes problem",

abstract = "Superconvergence of a mixed finite element approximation for the three-dimensional Stokes problem is presented. By using the Bernadi-Raugel mixed finite elements which satisfies the Babuska-Brezzi condition a basic error is gained. Considering the problem on the piecewise uniform cuboid elements in the three-dimensional space, the convergence rate of the solution can be increased an order by using the interpolation and Bramble-Hibert lemma.",

keywords = "Bernadi-Raugel element, Mixed finite elements, Post-processing, Stokes problem, Superconvergence",

author = "Lin, \{Jia Fu\} and Qian Li",

year = "2005",

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AU - Lin, Jia Fu

AU - Li, Qian

PY - 2005/12

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N2 - Superconvergence of a mixed finite element approximation for the three-dimensional Stokes problem is presented. By using the Bernadi-Raugel mixed finite elements which satisfies the Babuska-Brezzi condition a basic error is gained. Considering the problem on the piecewise uniform cuboid elements in the three-dimensional space, the convergence rate of the solution can be increased an order by using the interpolation and Bramble-Hibert lemma.

AB - Superconvergence of a mixed finite element approximation for the three-dimensional Stokes problem is presented. By using the Bernadi-Raugel mixed finite elements which satisfies the Babuska-Brezzi condition a basic error is gained. Considering the problem on the piecewise uniform cuboid elements in the three-dimensional space, the convergence rate of the solution can be increased an order by using the interpolation and Bramble-Hibert lemma.

KW - Bernadi-Raugel element

KW - Mixed finite elements

KW - Post-processing

KW - Stokes problem

KW - Superconvergence

UR - https://www.scopus.com/pages/publications/33644845106

M3 - Article

AN - SCOPUS:33644845106

SN - 1001-0645

VL - 25

SP - 1092

EP - 1095

JO - Beijing Ligong Daxue Xuebao/Transaction of Beijing Institute of Technology

JF - Beijing Ligong Daxue Xuebao/Transaction of Beijing Institute of Technology

IS - 12

ER -

Superconvergence of the bernadi-raugel mixed finite element approximation for the three-dimensional stokes problem

Abstract

Keywords

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