13 citations · 13 across the 7 of their papers we have counts for
9 papers
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…
3D-1D modelling of cranial mesh heating induced by low or medium frequency magnetic fields
Alessandro Arduino, Oriano Bottauscio, Denise Grappein +4
Safety assessment of patients with one-dimensionally structured passive implants, like cranial meshes or stents, exposed to low or medium frequency magnetic fields, like those gene…
A 3D-1D Virtual Element Method for Modeling Root Water Uptake
Stefano Berrone, Stefano Ferraris, Denise Grappein +2
An optimization-based strategy is proposed for coupling three-dimensional and one-dimensional problems (3D-1D coupling) in the context of soil-root interaction simulations. This st…
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…
Extended Finite Elements for 3D-1D coupled problems via a PDE-constrained optimization approach
Denise Grappein, Stefano Scialó, Fabio Vicini
In this work, we propose the application of the eXtended Finite Element Method (XFEM) in the context of the coupling between three-dimensional and one-dimensional elliptic problems…
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…
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…