Key Modifications from Standard DeepONet

  1. Automatic Differentiation: Use PyTorch's autograd to compute derivatives
  2. Physics Loss: Incorporate PDE residual into training
  3. Boundary Enforcement: Soft constraints for boundary conditions
  4. Multi-objective Loss: Balance data fidelity and physics consistency
 
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CVW material development is supported by NSF OAC awards 1854828, 2321040, 2323116 (UT Austin) and 2005506 (Indiana University)