4 papers
Discontinuous Galerkin method for a three-dimensional coupled fluid-poroelastic model with applications to brain fluid mechanics
Ivan Fumagalli
The modeling of the interaction between a poroelastic medium and a fluid in a hollow cavity is crucial for understanding, e.g., the multiphysics flow of blood and Cerebrospinal Flu…
Polytopal discontinuous Galerkin methods for low-frequency poroelasticity coupled to unsteady Stokes flow
Michele Botti, Ivan Fumagalli, Ilario Mazzieri
We focus on the numerical analysis of a polygonal discontinuous Galerkin scheme for the simulation of the exchange of fluid between a deformable saturated poroelastic structure and…
lymph: discontinuous poLYtopal methods for Multi-PHysics differential problems
Paola F. Antonietti, Stefano Bonetti, Michele Botti +3
We present the library lymph for the finite element numerical discretization of coupled multi-physics problems. lymph is a Matlab library for the discretization of partial differen…
A posteriori error analysis for a coupled Stokes-poroelastic system with multiple compartments
Ivan Fumagalli, Nicola Parolini, Marco Verani
The discretization of fluid-poromechanics systems is typically highly demanding in terms of computational effort. This is particularly true for models of multiphysics flows in the…