[nchagnet]

Thank you!

As far as I can tell, PINNs are promising and an active research area, but they are also young and far from being as widely adopted as finite element methods (at least that's my experience academic environments).

I do see great improvements are being made both on the performance level but also on the applications.

One aspect I didn't discuss in the post is the use for inverse solution search, where you fit experimental data to your equation, and where your parameters and your initial conditions can also be trainable parameters. This has great potential to improve the methodology of experimental results analysis.