Neural Networks to Solve Partial Differential Equations: A Comparison With Finite Elements

We compare the Finite Element Method (FEM) simulation of a standard Partial Differential Equation thermal problem of a plate with a hole with a Neural Network (NN) simulation. The largest deviation from the true solution obtained from FEM (0.015 for a solution on the order of unity) is easily achiev...

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Bibliographic Details
Main Authors: Andrea Sacchetti, Benjamin Bachmann, Kaspar Loffel, Urs-Martin Kunzi, Beatrice Paoli
Format: Article
Language:English
Published: IEEE 2022-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/9737092/

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