3 papers
math.NA2026
Hybrid-Dimensional Biot Problem with an Optimization Based Domain Decomposition Approach
Francesca Marcon, Stefano Scialò
The present work proposes a numerical approach for solving coupled flow and mechanics problems in fractured porous media, represented as mixed-dimensional domains. In this formulat…
math.NA2026
Modeling tumor growth with variable mass and angiogenesis-driven perfusion through a 3D-1D coupled framework
Chiara Giverso, Denise Grappein, Stefano Scialò
Tumor growth beyond a critical size relies on the development of a functional vascular network, which ensures adequate oxygen and nutrient supply. In this work, we present a modeli…
math.NA2024
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…