3 papers
math.NA2026
Conforming and non-conforming virtual element methods for the biharmonic Steklov eigenvalue problem with minimum regularity
Dibyendu Adak, Daniele Boffi, Francesca Gardini +2
In this work, we analyze the conforming and -non-conforming Virtual Element Method for a fourth-order Steklov eigenvalue problem on a generally shaped, possibly nonconvex, pol…
math.NA2026
Virtual element approximation of eigenvalue problems: is the stabilization of the right hand side necessary?
Daniele Boffi, Francesca Gardini, Lucia Gastaldi
The VEM approximation of eigenvalue problems usually involves the appropriate tuning of stabilization parameters, unless self-stabilizing or stabilization-free VEM are used. In thi…
math.NA2026
Avoiding stabilization terms in virtual elements for eigenvalue problems: The Reduced Basis Virtual Element Method
Silvia Bertoluzza, Fabio Credali, Francesca Gardini
We present the novel Reduced Basis Virtual Element Method (rbVEM) for solving the Laplace eigenvalue problem. This approach is based on the lowest-order virtual element method and…