Numerical comparison of three a posteriori error estimators for nonconforming finite element method

Abstract

In this paper, we propose to compare three a posteriori error estimators namely equilibrated, star-based and residual based for the Poisson problem and the Stokes problem with lowest-order Crouzeix-Raviart finite element discretization. The numerical results are presented to compare the performance of the three estimators in an adaptive refinement strategy.

Keywords

• nonconforming finite elements
• adaptive finite element method
• comparison
• a posteriori error estimates
• 35a35
• 65n15
• 65n30
• 65n50 and 76m10