Error estimates for a vorticity-based velocity–stress formulation of the Stokes eigenvalue problem

The aim of this paper is to analyze a mixed formulation for the two dimensional Stokes eigenvalue problem where unknowns are stress and velocity, whereas pressure can be recovered with simple postprocess stress. tensor written in terms vorticity fluid, leading an alternative that incorporates physical feature. We propose numerical method approximated suitable Nédelec finite elements, velocity piecewise polynomials degree k ≥ 0 . With aid compact operators theory we derive convergence spectral correctness. Moreover, reliable efficient posteriori error estimator our order provide adaptive strategy achieve optimal non sufficient smooth eigenfunctions. report tests spectrum computed, together computational analysis proposed estimator. In addition, use corresponding drive scheme, results test, allow us assess performance approach.