Trace Regularity PINNs: Enforcing ${\mathrm{H}}^{\frac{1}{2}}(\partial \hat{I}\text{c◯})$ for Boundary Data

Doyoon Kim, Junbin Song

We propose an enhanced physics-informed neural network (PINN), the Trace Regularity Physics-Informed Neural Network (TRPINN), which enforces the boundary loss in the Sobolev-Slobod…