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20192023
most citedIsogeometric Residual Minimization Method (iGRM) with Direction Splitting for Non-Stationary Advection-Diffusion Problems

19 citations · 22 across the 5 of their papers we have counts for

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Showing 2023 · math.NAShow all

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math.NA2023

Robust Variational Physics-Informed Neural Networks

Sergio Rojas, Paweł Maczuga, Judit Muñoz-Matute +2

We introduce a Robust version of the Variational Physics-Informed Neural Networks method (RVPINNs). As in VPINNs, we define the quadratic loss functional in terms of a Petrov-Galer…

math.NA2023★ 1 cited

Physics Informed Neural Networks with strong and weak residuals for advection-dominated diffusion problems

Maciej Sikora, Patryk Krukowski, Anna Paszynska +1

This paper deals with the following important research questions. Is it possible to solve challenging advection-dominated diffusion problems in one and two dimensions using Physics…