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Abstract
A stabilised nonconforming finite element method for the steady incompressible flow problem with damping based on local Gauss integration is considered in this article. The method combines the nonconforming finite element method with the stabilised strategy. Moreover, the stability and error estimates are analysed. Finally, numerical results are shown to support the developed theory analysis. Compared with some classical, closely related mixed finite element methods, the results of the present method show its better performance than others.
Acknowledgements
The authors would like to thank the editor and referees for their valuable comments and suggestions which helped us to improve the results of this article. We also express deep thanks to Prof. Yinnian He of Xi'an Jiaotong University for helpful discussions. This work is in part supported by the NSF of China (No. 61163027, No. 10901131, No. 10961024, No. 11126112), the China Postdoctoral Science Foundation (No. 201104702), and the Natural Science Foundation of Xinjiang Province (No. 2010211B04).