5 citations · 10 across the 2 of their papers we have counts for
2 papers
math.NA2024★ 5 cited
Finite Element Neural Network Interpolation. Part I: Interpretable and Adaptive Discretization for Solving PDEs
Kateřina Škardová, Alexandre Daby-Seesaram, Martin Genet
We present the Finite Element Neural Network Interpolation (FENNI) framework, a sparse neural network architecture extending previous work on Embedded Finite Element Neural Network…
physics.comp-ph2024★ 5 cited
Finite Element Neural Network Interpolation. Part II: Hybridisation with the Proper Generalised Decomposition for non-linear surrogate modelling
Alexandre Daby-Seesaram, Kateřina Škardová, Martin Genet
This work introduces a hybrid approach that combines the Proper Generalised Decomposition (PGD) with deep learning techniques to provide real-time solutions for parametrised mechan…