Implementation of a spatially varying dde.Variable

[MaxGRudolph]

Hi all,

I wand to solve an inverse problem similar to the 1D diffusion example from the documentation.
However, I want to solve an inverse problem in 2D, having a spatially varying diffusion parameter, i.e., dde.Variable(tensor[N_x, N_y]) or dde.Variable(array[N_x, N_y]) in the 2D case, where N_x, N_y are the nummber of points for the parameter.

So how would I implement such a variable and make sure that the PDE is solved, taking the spatial variability into account?

Thanks!

[lululxvi]

See

• https://deepxde.readthedocs.io/en/latest/demos/pinn_inverse/elliptic.inverse.field.html
• https://github.com/lululxvi/deepxde/blob/master/examples/pinn_inverse/diffusion_reaction_rate.py