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most citedAn -adaptive finite element method using neural networks for parametric self-adjoint elliptic problem

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math.NA2025

An -adaptive finite element method using neural networks for parametric self-adjoint elliptic problem

Danilo Aballay, Federico Fuentes, Vicente Iligaray +5

This work proposes an -adaptive finite element method (FEM) using neural networks (NNs). The method employs the Ritz energy functional as the loss function, currently limiting i…