45 citations · 72 across the 7 of their papers we have counts for
8 papers
Algebraic convergence analysis for the Interface Control Domain Decomposition (ICDD) method
Marco Discacciati, Paola Gervasio, Alfio Quarteroni
We develop the convergence analysis of the Interface Control Domain Decomposition (ICDD) method, an overlapping domain decomposition method based on an optimal control framework wi…
Combining physics-based and data-driven models: advancing the frontiers of research with Scientific Machine Learning
Alfio Quarteroni, Paola Gervasio, Francesco Regazzoni
Scientific Machine Learning (SciML) is a recently emerged research field which combines physics-based and data-driven models for the numerical approximation of differential problem…
A coupling concept for Stokes-Darcy systems: the ICDD method
Marco Discacciati, Paola Gervasio
We present a coupling framework for Stokes-Darcy systems valid for arbitrary flow direction at low Reynolds numbers and for isotropic porous media. The proposed method is based on…
Let the paintings play
Paola Gervasio, Alfio Quarteroni, Daniele Cassani
In this paper, we introduce a mathematical method to extract similarities between paintings and musical tracks. Our approach is based on the digitalization of both paintings and mu…
A reduced order model for domain decompositions with non-conforming interfaces
Elena Zappon, Andrea Manzoni, Paola Gervasio +1
In this paper, we propose a reduced-order modeling strategy for two-way Dirichlet-Neumann parametric coupled problems solved with domain-decomposition (DD) sub-structuring methods.…
A matrix-free high-order solver for the numerical solution of cardiac electrophysiology
Pasquale Claudio Africa, Matteo Salvador, Paola Gervasio +2
We propose a matrix-free solver for the numerical solution of the cardiac electrophysiology model consisting of the monodomain nonlinear reaction-diffusion equation coupled with a…
Some evaluations of the fractional -Laplace operator on radial functions
F. Colasuonno, F. Ferrari, P. Gervasio +1
We face a rigidity problem for the fractional -Laplace operator to extend to this new framework some tools useful for the linear case. It is known that a…
The INTERNODES method for the treatment of non-conforming multipatch geometries in Isogeometric Analysis
Paola Gervasio, Federico Marini
In this paper we apply the INTERNODES method to solve second order elliptic problems discretized by Isogeometric Analysis methods on non-conforming multiple patches in 2D and 3D ge…