首页|The a posteriori error estimates and adaptive computation of nonconforming mixed finite elements for the Stokes eigenvalue problem
The a posteriori error estimates and adaptive computation of nonconforming mixed finite elements for the Stokes eigenvalue problem
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NSTL
Elsevier
In this paper, we discuss the a posteriori error estimates and adaptive algorithm of non-conforming mixed finite elements including the Crouzeix-Raviart element and the enriched Crouzeix-Raviart element for the Stokes eigenvalue problem in Rd (d = 2 , 3) . We give the a posteriori error estimators and prove their reliability and efficiency. Based on the a posteriori error estimators we built two adaptive algorithms, the direct AFEM and the shifted-inverse AFEM. Numerical experiments and theoretical analysis are consistent, which indicates that the numerical eigenvalues obtained by the above two adaptive algo-rithms achieve the optimal convergence order O(dof -2d ) and approximate the exact ones from below. ()C & nbsp;2022 The Author(s). Published by Elsevier Inc.& nbsp;
NSTL
Elsevier
