A New Nonconforming Local Projection Stabilization for Generalized Oseen Equations

BAI Yan-hong; FENG Min-fu; WANG Chuan-long

doi:10.3879/j.issn.1000-0887.2010.11.009

Volume 31 Issue 11

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BAI Yan-hong, FENG Min-fu, WANG Chuan-long. A New Nonconforming Local Projection Stabilization for Generalized Oseen Equations[J]. Applied Mathematics and Mechanics, 2010, 31(11): 1360-1371. doi: 10.3879/j.issn.1000-0887.2010.11.009

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A New Nonconforming Local Projection Stabilization for Generalized Oseen Equations

doi: 10.3879/j.issn.1000-0887.2010.11.009

Department of Mathematics, Taiyuan Teachers College, Taiyuan 030012, P. R. China;
Department of Mathematics, Sichuan University, Chengdu 610064, P. R. China

Received Date: 1900-01-01
Rev Recd Date: 2010-10-05
Publish Date: 2010-11-15

Abstract

Abstract

A new method of nonconforming local projection stabilization for the generalized Oseen equations was proposed by a nonconforming inf-sup stable element pair for approximating the velocity and pressure. The method has several attractive feature. It adds an local projection term only on the sub-scale (H ≥h). The stabilized term is simple compared with the residual-free bubble element method can handle the influence of strong convection. The numerical illustrations agree with the theoretical expectation very well.
- generalized Oseen equations,
- local projection stabilization,
- Crouzeix-Raviart element

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References(15)

References

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