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math.NA2024★ 6 cited
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…
math.NA2024
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…