Search Results for author: Luca Pegolotti

Found 3 papers, 3 papers with code

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

1 code implementation13 Mar 2023 Luca Pegolotti, Martin R. Pfaller, Natalia L. Rubio, Ke Ding, Rita Brugarolas Brufau, Eric Darve, Alison L. Marsden

Our numerical results demonstrate the accuracy and generalizability of our method in physiological geometries comprising a variety of anatomies and boundary conditions.

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

1 code implementation2 Apr 2019 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.

Decoder Network Embedding

Coupling non-conforming discretizations of PDEs by spectral approximation of the Lagrange multiplier space

1 code implementation21 Feb 2018 Simone Deparis, Luca Pegolotti

Differently from the mortar method, we discretize the space of basis functions on the interface by spectral approximation independently of the discretization of the two adjacent domains; one of the possible choices is to approximate the interface variational space by Fourier basis functions.

Numerical Analysis Computational Engineering, Finance, and Science Numerical Analysis

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