Comparison of Neural FEM and Neural Operator Methods for applications in Solid Mechanics

• URL: http://arxiv.org/abs/2307.02494v1
• Date: Tue, 4 Jul 2023 06:16:43 GMT
• Title: Comparison of Neural FEM and Neural Operator Methods for applications in Solid Mechanics
• Authors: Stefan Hildebrand, Sandra Klinge
• Abstract summary: The current work investigates two classes, Neural FEM and Neural Operator Methods, for the use in elastostatics by means of numerical experiments. Main differences between the two classes are the computational effort and accuracy.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-sa/4.0/
• Abstract: Machine Learning methods belong to the group of most up-to-date approaches for solving partial differential equations. The current work investigates two classes, Neural FEM and Neural Operator Methods, for the use in elastostatics by means of numerical experiments. The Neural Operator methods require expensive training but then allow for solving multiple boundary value problems with the same Machine Learning model. Main differences between the two classes are the computational effort and accuracy. Especially the accuracy requires more research for practical applications.

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