A hybridized finite element method for the Stokes problem

Y. Jeon; E. J. Park; D. Sheen

doi:10.1016/j.camwa.2014.08.005

A hybridized finite element method for the Stokes problem

Y. Jeon, E. J. Park, D. Sheen

Department of Computational Science and Engineering

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

13 Citations (Scopus)

Abstract

A locally conservative hybridized finite element method for Stokes equations is presented and analyzed. The hybridized approach reduces a lot of degrees of freedom, especially for pressure approximation. In our approach the pressure is determined locally up to a constant, therefore, the global stiffness system contains only the average of pressure variable on each cell as unknowns.

Original language	English
Pages (from-to)	2222-2232
Number of pages	11
Journal	Computers and Mathematics with Applications
Volume	68
Issue number	12
DOIs	https://doi.org/10.1016/j.camwa.2014.08.005
Publication status	Published - 2014 Dec 1

Bibliographical note

Funding Information:
The research of first author was supported by NRF 2010-0021683 . The research of second author was supported in part by NRF- 2012R1A2A2A01046471 . The third author supported in part by NRF 2012-0000153 .

Publisher Copyright:
© 2014 Elsevier Ltd. All rights reserved.

All Science Journal Classification (ASJC) codes

Modelling and Simulation
Computational Theory and Mathematics
Computational Mathematics

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10.1016/j.camwa.2014.08.005

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AU - Sheen, D.

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PY - 2014/12/1

Y1 - 2014/12/1

N2 - A locally conservative hybridized finite element method for Stokes equations is presented and analyzed. The hybridized approach reduces a lot of degrees of freedom, especially for pressure approximation. In our approach the pressure is determined locally up to a constant, therefore, the global stiffness system contains only the average of pressure variable on each cell as unknowns.

AB - A locally conservative hybridized finite element method for Stokes equations is presented and analyzed. The hybridized approach reduces a lot of degrees of freedom, especially for pressure approximation. In our approach the pressure is determined locally up to a constant, therefore, the global stiffness system contains only the average of pressure variable on each cell as unknowns.

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ER -

A hybridized finite element method for the Stokes problem

Abstract

Bibliographical note

All Science Journal Classification (ASJC) codes

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