Analysis demonstrates improved convergence in eigenvalue problem solutions with adaptive mixed FEM, indicating efficacy in computational methods.
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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Daniele Boffi (2025) studied this question.
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