25 citations · 39 across the 8 of their papers we have counts for
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math.NA2023
Multi-level Neural Networks for Accurate Solutions of Boundary-Value Problems
Ziad Aldirany, Régis Cottereau, Marc Laforest +1
The solution to partial differential equations using deep learning approaches has shown promising results for several classes of initial and boundary-value problems. However, their…
math.NA2023
Operator approximation of the wave equation based on deep learning of Green's function
Ziad Aldirany, Régis Cottereau, Marc Laforest +1
Deep operator networks (DeepONets) have demonstrated their capability of approximating nonlinear operators for initial- and boundary-value problems. One attractive feature of DeepO…
math.NA2016★ 3 cited
A Posteriori Error Estimation for the p-curl Problem
Andy T. S. Wan, Marc Laforest
We derive a posteriori error estimates for a semi-discrete finite element approximation of a nonlinear eddy current problem arising from applied superconductivity, known as the …