Wachspress coordinates enable a transfinite interpolant that exactly enforces Dirichlet boundary conditions in PINNs on convex polygons by providing a smooth lift of boundary data into the domain interior.
Advances in Neural Information Processing Systems33, 7462– 7473 (2020)
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A Wachspress-based transfinite formulation for exactly enforcing Dirichlet boundary conditions on convex polygonal domains in physics-informed neural networks
Wachspress coordinates enable a transfinite interpolant that exactly enforces Dirichlet boundary conditions in PINNs on convex polygons by providing a smooth lift of boundary data into the domain interior.