Publications (15)
Mimetic finite difference schemes for transport operators with divergence-free advective field and applications to plasma physics
Micol Bassanini, Simone Deparis, Paolo Ricci
In wave propagation problems, finite difference methods implemented on staggered grids are commonly used to avoid checkerboard patterns and to improve accuracy in the approximation…
Space-time reduced basis methods for parametrized unsteady Stokes equations
Riccardo Tenderini, Nicholas Mueller, Simone Deparis
In this work, we analyse space-time reduced basis methods for the efficient numerical simulation of hemodynamics in arteries. The classical formulation of the reduced basis (RB) me…
The LifeV library: engineering mathematics beyond the proof of concept
Luca Bertagna, Simone Deparis, Luca Formaggia +2
LifeV is a library for the finite element (FE) solution of partial differential equations in one, two, and three dimensions. It is written in C++ and designed to run on diverse par…
Coupling non-conforming discretizations of PDEs by spectral approximation of the Lagrange multiplier space
Simone Deparis, Luca Pegolotti
This work focuses on the development of a non-conforming domain decomposition method for the approximation of PDEs based on weakly imposed transmission conditions: the continuity o…
Generalisation of the Total Linearisation Method to Three-dimensional Free-Surface Flows
Tyler Benkley, Simone Deparis, Paolo Ricci +1
An iterative Finite Element method predicated on a linearisation of the weak form around a reference configuration is derived for general, three-dimensional, free-surface flows, in…
Can the perfect Swiss alphorn be designed? A combination of reduced basis method and machine learning for shape optimization
Fabio Marcinnò, Clément Froidevaux, Leonardo Bocchieri +3
In this work, we investigate the shape optimization of a Swiss alphorn to achieve resonance frequencies as close as possible to prescribed target notes. We construct an accurate ge…