Unified analysis for stabilized methods of low-order mixed finite elements for stationary Navier-Stokes equations

Springer Science and Business Media LLC - Tập 34 - Trang 953-970 - 2013
Gang Chen1, Min-fu Feng1, Yin-nian He2
1Department of Mathematics, Sichuan University, Chengdu, P. R. China
2School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an, P.R. China

Tóm tắt

A unified analysis is presented for the stabilized methods including the pressure projection method and the pressure gradient local projection method of conforming and nonconforming low-order mixed finite elements for the stationary Navier-Stokes equations. The existence and uniqueness of the solution and the optimal error estimates are proved.

Tài liệu tham khảo

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