Learning-Based Finite Element Methods Modeling for Complex Mechanical Systems
This work addresses simulation efficiency for mechanical engineering applications, but appears incremental as it builds on existing CNN/GNN-based methods.
The paper tackles the computationally intensive overhead of Finite Element Method (FEM) simulations for complex mechanical systems by proposing a novel two-level mesh graph network, resulting in 54.3% lower prediction errors and 9.87% fewer parameters on a Beam dataset.
Complex mechanic systems simulation is important in many real-world applications. The de-facto numeric solver using Finite Element Method (FEM) suffers from computationally intensive overhead. Though with many progress on the reduction of computational time and acceptable accuracy, the recent CNN or GNN-based simulation models still struggle to effectively represent complex mechanic simulation caused by the long-range spatial dependency of distance mesh nodes and independently learning local and global representation. In this paper, we propose a novel two-level mesh graph network. The key of the network is to interweave the developed Graph Block and Attention Block to better learn mechanic interactions even for long-rang spatial dependency. Evaluation on three synthetic and one real datasets demonstrates the superiority of our work. For example, on the Beam dataset, our work leads to 54.3\% lower prediction errors and 9.87\% fewer learnable network parameters.