Graph Neural Network-based Surrogate Models for Finite Element Analysis
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Abstract (arXiv)
Current simulation of metal forging processes use advanced finite element methods. Such methods consist of solving mathematical equations, which takes a significant amount of time for the simulation to complete. Computational time can be prohibitive for parametric response surface exploration tasks. In this paper, we propose as an alternative, a Graph Neural Network-based graph prediction model to act as a surrogate model for parameters search space exploration and which exhibits a time cost reduced by an order of magnitude. Numerical experiments show that this new model outperforms the Point-Net model and the Dynamic Graph Convolutional Neural Net model.
Key facts. Cited by 7 papers in the map (data through 7 Oct 2026). First posted on arXiv 17 Nov 2022.
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Citing papers per year: 2023: 2; 2024: 1; 2025: 3; 2026: 1.
7 papers.
- 2023Physics-Informed Graph Convolutional Networks: Towards a generalized framework for complex geometriescited by 1
- 2025Learning Discontinuous Galerkin Solutions to Elliptic Problems via Small Linear Convolutional Neural Networkscited by 1
- 2025Graph Network-based Structural Simulator: Graph Neural Networks for Structural Dynamicscited by 1
- 2023A Hybrid GNN approach for predicting node data for 3D meshescited by 0
- 2024Predicting Wall Thickness Changes in Cold Forging Processes: An Integrated FEM and Neural Network approachcited by 0
- 2025Learning Mappings in Mesh-based Simulationscited by 0
- 2026A Research Prototype for Closed-Loop Generative Design of Customized Foot Orthoses via Semantic-Physics Alignmentcited by 0
- 2026A Research Prototype for Closed-Loop Generative Design of Customized Foot Orthoses via Semantic-Physics Alignment18 Jul 2026
- 2025Graph Network-based Structural Simulator: Graph Neural Networks for Structural Dynamics29 Oct 2025
- 2025Learning Mappings in Mesh-based Simulations14 Jun 2025
- 2025Learning Discontinuous Galerkin Solutions to Elliptic Problems via Small Linear Convolutional Neural Networks12 Feb 2025
- 2024Predicting Wall Thickness Changes in Cold Forging Processes: An Integrated FEM and Neural Network approach20 Nov 2024
- 2023A Hybrid GNN approach for predicting node data for 3D meshes23 Oct 2023
- 2023Physics-Informed Graph Convolutional Networks: Towards a generalized framework for complex geometries20 Oct 2023