Explicit lower bounds for Stokes eigenvalue problems by using nonconforming finite elements
The authors find explicit lower bounds for exact eigenvalues of 2D Stokes problem. Their analysis is based on a result of the third author on eigenvalue bounds for self-adjoint differential operators. They use FEM along with the usual and enriched Crouzeix-Raviart element. Additionally, they show that such a lower bound has the optimal convergence order when the mesh size decreases to zero. Two illustrative numerical examples are carried out.
scientific article; zbMATH DE number 6859028
scientific article