90 citations · 152 across the 16 of their papers we have counts for
19 papers
A new operator splitting method for coupled PDE problems, with an application to poromechanics
Francesca Marcon, Stefano Scialò
The present work proposes a new operator splitting technique. The method leverages ideas used in PDE-constrained domain decomposition, adapting them to the objective of decoupling…
A Fictitious Domain Formulation with Bubble Enrichment
Stefano Berrone, Lorenzo Neva, Stefano Scialò +1
The fictitious domain method offers a powerful alternative to circumvent complex mesh generation process by embedding the complex physical domain into a simpler, non-matching backg…
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…
Orthogonal polynomial bases in the Mixed Virtual Element Method
Stefano Berrone, Stefano Scialò, Gioana Teora
The use of orthonormal polynomial bases has been found to be efficient in preventing ill-conditioning of the system matrix in the primal formulation of Virtual Element Methods (VEM…
An optimization based 3D-1D coupling strategy for tissue perfusion and chemical transport during tumor-induced angiogenesis
Stefano Berrone, Chiara Giverso, Denise Grappein +2
A new mathematical model and numerical approach are proposed for the simulation of fluid and chemical exchanges between a growing capillary network and the surrounding tissue, in t…
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…
A gradient based resolution strategy for a PDE-constrained optimization approach for 3D-1D coupled problems
Stefano Berrone, Denise Grappein, Stefano Scialò +1
Coupled 3D-1D problems arise in many practical applications, in an attempt to reduce the computational burden in simulations where cylindrical inclusions with a small section are e…
3D-1D coupling on non conforming meshes via three-field optimization based domain decomposition
Stefano Berrone, Denise Grappein, Stefano Scialo'
A new numerical approach is proposed for the simulation of coupled three-dimensional and one-dimensional elliptic equations (3D-1D coupling) arising from dimensionality reduction o…
The mixed virtual element method for grids with curved interfaces
Franco Dassi, Alessio Fumagalli, Davide Losapio +3
In many applications the accurate representation of the computational domain is a key factor to obtain reliable and effective numerical solutions. Curved interfaces, which might be…
The Mixed Virtual Element Method on curved edges in two dimensions
Franco Dassi, Alessio Fumagalli, Davide Losapio +3
In this work, we propose an extension of the mixed Virtual Element Method (VEM) for bi-dimensional computational grids with curvilinear edge elements. The approximation by means of…
An optimization approach for flow simulations in poro-fractured media with complex geometries
Stefano Berrone, Alessandro D'Auria, Stefano Scialo'
A new discretization approach is presented for the simulation of flow in complex poro-fractured media described by means of the Discrete Fracture and Matrix Model. The method is ba…
An arbitrary order Mixed Virtual Element formulation for coupled multi-dimensional flow problems
M. F. Benedetto, A. Borio, F. Kyburg +2
Discrete Fracture and Matrix (DFM) models describe fractured porous media as complex sets of 2D planar polygons embedded in a 3D matrix representing the surrounding porous medium.…
A Three-Field based optimization formulation for flow simulations in networks of fractures on non conforming meshes
Stefano Berrone, Denise Grappein, Sandra Pieraccini +1
A new numerical scheme is proposed for flow computation in complex discrete fracture networks. The method is based on a three-field formulation of the Darcy law for the description…
Analysis of conforming, non-matching, and polygonal methods for Darcy and advection-diffusion-reaction simulations in discrete fracture networks
Andrea Borio, Alessio Fumagalli, Stefano Scialò
The aim of this study is to compare numerical methods for the simulation of single-phase flow and transport in fractured media, described here by means of the Discrete Fracture Net…
Conforming, non-conforming and non-matching discretization couplings in discrete fracture network simulations
Alessio Fumagalli, Eirik Keilegavlen, Stefano Scialò
Simulations of fluid flow in naturally fractured rocks have implications for several subsurface applications, including energy storage and extraction, and waste storage. We are int…