7 papers
BioNetFlux: A Python Framework for Reaction--Diffusion--Chemotaxis Simulations on One-Dimensional Network Geometries
Silvia Bertoluzza
We present BioNetFlux, an open-source Python framework for the numerical simulation of coupled systems of partial differential equations (PDEs) on one-dimensional multi-arc network…
Towards uncertainty quantification of a model for cancer-on-chip experiments
Silvia Bertoluzza, Vittoria Bianchi, Gabriella Bretti +2
This study is a first step towards using data-informed differential models to predict and control the dynamics of cancer-on-chip experiments. We consider a conceptualized one-dimen…
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…
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…
A stabilized three fields formulation for Discrete Fracture Networks
Stefano Berrone, Silvia Bertoluzza, Stefano Scialò
We propose a hybridized domain decomposition formulation of the discrete fracture network model, allowing for independent discretization of the individual fractures. A natural norm…
Localization of trace norms in two and three dimensions
Silvia Bertoluzza
We extend a localization result for the norm by B. Faermann to a wider class of subspaces of , and we prove an analogous result for the norm, $Γ…
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…