Learning finite element convergence with the Multi-fidelity Graph Neural Network

نویسندگان

چکیده

Machine learning techniques have emerged as potential alternatives to traditional physics-based modeling and partial differential equation solvers. Among these machine techniques, Graph Neural Networks (GNNs) simulate physics via graph models; GNNs embed relevant physical features into data structures, perform message passing within the graphs, produce new attributes based on system’s relationships. Like many frameworks, are limited by excessive generation costs generalizability outside of a narrow training domain. To address limitations, we introduce Multi-Fidelity Network (MFGNN), supervised framework that uses low-fidelity projections inform high-fidelity across arbitrary subdomains represented subgraphs. We implement MFGNN for two-dimensional elastostatic problems with finite element data. The is trained accurate analysis given evaluations emulate convergence behavior (FEA). Through subdomain abstraction, also extend general model boundary conditions material domains

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ژورنال

عنوان ژورنال: Computer Methods in Applied Mechanics and Engineering

سال: 2022

ISSN: ['0045-7825', '1879-2138']

DOI: https://doi.org/10.1016/j.cma.2022.115120