Adaptive Mixed FEM for the Stokes eigenvalue problem (2401.07132v1)

Published 13 Jan 2024 in math.NA and cs.NA

Abstract: In this paper we discuss the optimal convergence of a standard adaptive scheme based on mixed finite element approximation to the solution of the eigenvalue problem associated with the Stokes equations. The proofs of the quasi-orthogonality and the discrete reliability are presented. Our numerical experiments confirm the efficacy of the proposed adaptive scheme.

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Dedicated to Ennio De Giorgi.

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