Neumann BCs

[maxnezdyur]

Are there any examples with neumann bcs?

[eltxejo]

Interested too! I am dealing with a heat transfer problem, and I wonder if PINA computes surface normal vectors to solve for convection.

[dario-coscia]

Hi @maxnezdyur @eltxejo at the moment we have implemented the FixedGradient class (see here for ref).

If you know the normal to the boundary it should be easy to implement an Equation object (by looking at the structure of FixedGradient) for Neumann BC. For easy domains, e.g. CartesianDomain the normal is analytical so it should not be hard to compute Neumann BC. For more complex domains we miss an Equation for it, and we would be happy to introduce it in the software, but I don't know how we could retrieve easily the normal... Do you have any suggestion?

[dario-coscia]

@maxnezdyur @eltxejo Just checking if you are still working on the problem and think this could be helpful for the community

[eltxejo]

I still work on PINNs from time to time but I'm using either my own repo or DeepXDE for the moment.