Numerical comparison of three a posteriori error estimators for nonconforming finite element method. (English) Zbl 07863556
Summary: 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.
MSC:
| 35A35 | Theoretical approximation in context of PDEs |
| 65N15 | Error bounds for boundary value problems involving PDEs |
| 65N30 | Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs |
| 65N50 | Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs |
| 76M10 | Finite element methods applied to problems in fluid mechanics |
Keywords:
nonconforming finite elements; adaptive finite element method; comparison; a posteriori error estimatesReferences:
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