Domain Decomposition-Based Coupling of High-Fidelity Finite Element and Reduced Order Operator Inference Models Using the Schwarz Alternating Method
By: Ian Moore , Anthony Gruber , Chris Wentland and more
Potential Business Impact:
Makes computer models run much faster and better.
We propose a novel hybrid domain decomposition method that couples sub-domain-local high-fidelity finite element (FE) models with reduced order models (ROMs) using the Schwarz alternating method. By integrating the noninstrusive Operator Inference (OpInf) ROM, our approach accelerates the Schwarz process while allowing for geometry and mesh flexibility. We demonstrate the effectiveness of the new OpInf-FE method on a convection-dominated convection-diffusion-reaction problem, achieving stable and accurate predictive solutions while improving the ROM training process.
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