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...

Ausführliche Beschreibung

Bibliographische Detailangaben

Veröffentlicht in:	IEEE access 2022, Vol.10, p.32271-32279
Hauptverfasser:	Sacchetti, Andrea, Bachmann, Benjamin, Loffel, Kaspar, Kunzi, Urs-Martin, Paoli, Beatrice
Format:	Artikel
Sprache:	eng
Schlagworte:	Accuracy Algorithms Artificial neural networks Computational modeling Computer simulation Computing time Finite element analysis Finite element method Floating point arithmetic Geometry Neural networks Partial differential equations Thermodynamics Training
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!