13 citations · 13 across the 7 of their papers we have counts for
3 papers · 1 filter
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…