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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…
math.NA2026
An abstract framework for heterogeneous coupling: stability, approximation and preconditioning
Silvia Bertoluzza, Erik Burman
We consider heterogeneous coupling problems on an abstract level, establishing fundamental principles of domain decomposition agnostic to the solvers of the local subproblems. Intr…
math.NA2026
The Reduced Basis Multigrid scheme for the Virtual Element Method
Paola F. Antonietti, Silvia Bertoluzza, Fabio Credali
We present a non-nested W-cycle multigrid scheme for the lowest order Virtual Element Method on polygonal meshes. To avoid the implicit definition of the Virtual Element space, whi…