Multiscale graph neural networks with adaptive mesh refinement for accelerating mesh-based simulations
Published in Computer Methods in Applied Mechanics and Engineering, 2024
In this work, we develop a multiscale mesh-based GNN framework mimicking a conventional iterative multigrid solver, coupled with adaptive mesh refinement (AMR), to mitigate challenges with conventional mesh-based GNNs. We use the framework to accelerate phase field (PF) fracture problems involving coupled partial differential equations with a near-singular operator due to near-zero modulus inside the crack.
Recommended citation: Perera R. and Agrawal V., Multiscale graph neural networks with adaptive mesh refinement for accelerating mesh-based simulations, Computer Methods in Applied Mechanics and Engineering, 429 (2024), 117152. https://doi.org/10.1016/j.cma.2024.117152