activity
20172025
most citedData driven approximation of parametrized PDEs by Reduced Basis and Neural Networks

69 citations · 143 across the 10 of their papers we have counts for

collaborators

10 papers

math.NA2025

Model order reduction of hemodynamics by space-time reduced basis and reduced fluid-structure interaction

Riccardo Tenderini, Simone Deparis

In this work, we apply the space-time Galerkin reduced basis (ST-GRB) method to a reduced fluid-structure interaction model, for the numerical simulation of hemodynamics in arterie…

math.NA2025★ 1 cited

A spline-based hexahedral mesh generator for patient-specific coronary arteries

Fabio Marcinnó, Jochen Hinz, Annalisa Buffa +1

This paper presents a spline-based hexahedral mesh generator for tubular geometries commonly encountered in haemodynamics studies, in particular coronary arteries. We focus on tech…

math.NA2022★ 6 cited

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…

math.NA2021★ 1 cited

DeepBND: a Machine Learning approach to enhance Multiscale Solid Mechanics

Felipe Rocha, Simone Deparis, Pablo Antolin +1

Effective properties of materials with random heterogeneous structures are typically determined by homogenising the mechanical quantity of interest in a window of observation. The…

math.NA2020★ 36 cited

Model order reduction of flow based on a modular geometrical approximation of blood vessels

Luca Pegolotti, Martin Pfaller, Alison Marsden +1

We are interested in a reduced order method for the efficient simulation of blood flow in arteries. The blood dynamics is modeled by means of the incompressible Navier-Stokes equat…

math.NA2019★ 69 cited

Data driven approximation of parametrized PDEs by Reduced Basis and Neural Networks

Niccolò Dal Santo, Simone Deparis, Luca Pegolotti

We are interested in the approximation of partial differential equations with a data-driven approach based on the reduced basis method and machine learning. We suppose that the phe…

math.NA2018

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…

math.NA2018★ 2 cited

Reduced order models for fluid-structure interaction problems with applications in haemodynamics

Claudia M. Colciago, Simone Deparis

This paper deals with fast simulations of the haemodynamics in large arteries by considering a reduced model of the associated fluid-structure interaction problem, which in turn al…

math.NA2017★ 23 cited

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…

physics.med-ph2017★ 5 cited

Simulation of left ventricle fluid dynamics with mitral regurgitation from magnetic resonance images with fictitious elastic structure regularization

Toni Lassila, Cristiano Malossi, Marco Stevanella +3

Computer modeling can provide quantitative insight into cardiac fluid dynamics phenomena that are not evident from standard imaging tools. We propose a new approach to modeling lef…