A posteriori error estimates for the stabilization of low-order mixed finite elements for the Stokes problem

作者：Song, Lina^*; Gao, Mingmei

来源：Computer Methods in Applied Mechanics and Engineering, 2014, 279: 410-424.

DOI：10.1016/j.cma.2014.07.004

• Stabilized finite element method
• A posteriori error estimates
• Incompressible Stokes equations
• Adaptive method

This paper studies a posteriori error estimates for the stabilization of low-order mixed finite elements for the Stokes problem. An interesting property of stabilized P-1 /P-0 and P-1/P-1 finite element methods is proposed and used to construct new reliable and efficient error estimators. Moreover, an average technique is applied to improve the error estimators. Numerical results verify the theoretical results and show the improvement of such an average technique.

• 出版日期2014-9-1
• 单位青岛大学