Adaptive Mixed FEM for the Stokes eigenvalue problem

2024/01/13 by Boffi, Daniele, Khan, Arbaz · 1 citation
#65N25 #65N30 #65N50 #76D0 #FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.2401.07132

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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• The discontinuous Galerkin method for the Oseen eigenvalue problem

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