1 citations · 2 across the 7 of their papers we have counts for
8 papers
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…
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…
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.…