An Analysis of Penalty-Nonconforming Finite Element Method for Stokes Equations

An Analysis of Penalty-Nonconforming Finite Element Method for Stokes Equations

Year:    1986

Author:    Hou-De Han

Journal of Computational Mathematics, Vol. 4 (1986), Iss. 2 : pp. 164–172

Abstract

In this paper, the penalty-nonconforming finite element method for Stokes equations is considered. An abstract error estimate is given. For Crouzeix-Raviart nonconforming triangular elements, in particular, the analysis shows that the "reduced integration" technique is not necessary in the integration of the penalty term on each element. It means that a loss of precision is avoided in this penalty method.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1986-JCM-9577

Journal of Computational Mathematics, Vol. 4 (1986), Iss. 2 : pp. 164–172

Published online:    1986-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    9

Keywords:   

Author Details

Hou-De Han