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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…
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…
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…
A five field formulation for flow simulations in porous media with fractures and barriers via an optimization based domain decomposition method
Stefano Scialò
The present work deals with the numerical resolution of coupled 3D-2D problems arising from the simulation of fluid flow in fractured porous media modeled via the Discrete Fracture…
The Mixed Virtual Element Discretization for highly-anisotropic problems: the role of the boundary degrees of freedom
Stefano Berrone, Stefano Scialò, Gioana Teora
In this paper, we discuss the accuracy and the robustness of the mixed Virtual Element Methods when dealing with highly-anisotropic diffusion problems. In particular, we analyze th…
A PDE-constrained optimization method for 3D-1D coupled problems with discontinuous solutions
Stefano Berrone, Denise Grappein, Stefano Scialò
A numerical method for coupled 3D-1D problems with discontinuous solutions at the interfaces is derived and discussed. This extends a previous work on the subject where only contin…