The VEM approximation of eigenvalue problems usually involves the appropriate tuning of stabilization parameters, unless self-stabilizing or stabilization-free VEM are used. In this paper we prove that for elliptic self-adjoint eigenvalue problems the stabilization of the mass matrix is not necessary when lower order standard VEM spaces (k = 1,2) are adopted. Numerical evidence shows that also for higher order schemes the same result is true on various mesh sequences.
Virtual element approximation of eigenvalue problems: Is the stabilization of the right hand side necessary?
Boffi D.
;Gardini F.;Gastaldi L.
2026-01-01
Abstract
The VEM approximation of eigenvalue problems usually involves the appropriate tuning of stabilization parameters, unless self-stabilizing or stabilization-free VEM are used. In this paper we prove that for elliptic self-adjoint eigenvalue problems the stabilization of the mass matrix is not necessary when lower order standard VEM spaces (k = 1,2) are adopted. Numerical evidence shows that also for higher order schemes the same result is true on various mesh sequences.File in questo prodotto:
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