Demos of Operator Learning

Here are some demos of learning solution operators of PDEs.

DeepONet

• Antiderivative operator from an aligned dataset
• Antiderivative operator from an unaligned dataset

PI-DeepONet

• Poisson equation in 1D

• Antiderivative operator with aligned points

• Antiderivative operator with unaligned points

• Advection equation with aligned points

• Advection equation with unaligned points

• Advection equation 2D with aligned points

• Advection equation 2D with unaligned points

• Diffusion reaction equation with aligned points

• Diffusion reaction equation with unaligned points

• Stokes flow with aligned points

• PI-DeepONets with Zero Coordinate Shift (ZCS)

• • Diffusion reaction equation with aligned points using ZCS

  • Stokes flow with aligned points using ZCS