activity
20182025
most citedData driven approximation of parametrized PDEs by Reduced Basis and Neural Networks

69 citations · 109 across the 7 of their papers we have counts for

collaborators

7 papers

cs.CV2025

Deformable registration and generative modelling of aortic anatomies by auto-decoders and neural ODEs

Riccardo Tenderini, Luca Pegolotti, Fanwei Kong +4

This work introduces AD-SVFD, a deep learning model for the deformable registration of vascular shapes to a pre-defined reference and for the generation of synthetic anatomies. AD-…

cs.CE2024★ 2 cited

Bayesian Windkessel calibration using optimized 0D surrogate models

Jakob Richter, Jonas Nitzler, Luca Pegolotti +6

Boundary condition (BC) calibration to assimilate clinical measurements is an essential step in any subject-specific simulation of cardiovascular fluid dynamics. Bayesian calibrati…

cs.CE2024

Hybrid Physics-Based and Data-Driven Modeling of Vascular Bifurcation Pressure Differences

Natalia L. Rubio, Luca Pegolotti, Martin R. Pfaller +2

Reduced-order models (ROMs) allow for the simulation of blood flow in patient-specific vasculatures without the high computational cost and wait time associated with traditional co…

cs.LG2023★ 2 cited

Learning Reduced-Order Models for Cardiovascular Simulations with Graph Neural Networks

Luca Pegolotti, Martin R. Pfaller, Natalia L. Rubio +4

Reduced-order models based on physics are a popular choice in cardiovascular modeling due to their efficiency, but they may experience reduced accuracy when working with anatomies…

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…