Finite element approximation of eigenvalue problems

By D. Boffi. Acta Numerica, 2010

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Sharp error estimates for spline approximation: Explicit constants, n-widths, and eigenfunction convergence (2018, methodology): “8 of [3]) it is shown that the error in the eigenvalues, |νj − ν j |, and the error in the eigenfunctions, ‖ψj − ψ j ‖, can be bounded in terms of ‖ψj −Qpψj‖, which goes to 0 as p→∞ for all j satisfying the requirement of Corollary 2 (with q = 1).”
Finite Element Methods for Maxwell's Equations (2019, methodology): “Boffi has shown that it is equivalent to the Fortin condition from the theory of mixed methods [8, 7].”
Mathematical analysis of variational isogeometric methods* (2014, background): “These results suggest that, although there is no commutative diagram for the NURBS spaces, they probably satisfy the conditions for the convergence of eigenvalue problems in mixed form stated in Boffi, Brezzi and Gastaldi (1997) (see also Boffi 2010, Part 3).”