A posteriori error estimates of stabilized finite element method for the steady Navier-Stokes problem

作者：Zhang, Tong^*; Zhao, Xin; Lei, Gang

来源：Applied Mathematics and Computation, 2013, 219(17): 9081-9092.

DOI：10.1016/j.amc.2013.03.063

• Steady Navier-Stokes equations
• Stabilized finite element method
• A posteriori error estimate
• Adaptivity

In this paper we develop a posteriori error estimates for the steady Navier-Stokes equations based on the lowest equal-order mixed finite element pair. Residual type a posteriori error estimates are derived by means of general framework established by Verfurth for the nonlinear equations. Furthermore, a simple error estimator in L-2 norm is also presented by using the duality argument. Numerical experiments using adaptive computations are presented to demonstrate the effectiveness of these error estimates for three examples. The first example is a singular problem with known solution, the second example is a physical model of lid driven cavity and the last one is a backward facing step problem.

• 出版日期2013-5-1
• 单位河南理工大学; 宝鸡文理学院