6 citations · 7 across the 4 of their papers we have counts for
4 papers
Divergence-free unfitted finite element discretisations for the Darcy problem
Santiago Badia, Anne Boschman, Alberto F. Martín +3
We develop an unfitted compatible finite element discretisation for the Darcy problem based on -conforming flux spaces and discontinuous pressure spaces. The metho…
Unfitted finite element interpolated neural networks
Wei Li, Alberto F. Martín, Santiago Badia
We present a novel approach that integrates unfitted finite element methods and neural networks to approximate partial differential equations on complex geometries. Easy-to-generat…
Compatible finite element interpolated neural networks
Santiago Badia, Wei Li, Alberto F. Martín
We extend the finite element interpolated neural network (FEINN) framework from partial differential equations (PDEs) with weak solutions in to PDEs with weak solutions in $H…
Adaptive Finite Element Interpolated Neural Networks
Santiago Badia, Wei Li, Alberto F. Martín
The use of neural networks to approximate partial differential equations (PDEs) has gained significant attention in recent years. However, the approximation of PDEs with localised…