Stabilized low order finite elements for Stokes equations with damping

作者：Li, Minghao^*; Shi, Dongyang; Dai, Ying

来源：Journal of Mathematical Analysis and Applications, 2016, 435(1): 646-660.

DOI：10.1016/j.jmaa.2015.10.040

• Stokes equations
• Damped term
• Stabilization methods
• Low order elements
• Error estimates

In this paper, we consider the stationary Stokes equations with damping. Low order Mixed finite element spaces are used to approximate the velocity and the pressure, and a local pressure projection stabilization method is used for the pairs to overcome the lack of the inf-sup condition. The stability of this method is proved, and the optimal order error estimates are derived by some nonlinear analysis techniques. At last, two numerical examples are implemented to test the stability and effectiveness of the proposed method.

• 出版日期2016-3-1
• 单位郑州大学; 同济大学; 河南工业大学