Poisson equation on the sphere

[miniufo]

Hi, I am interested in using this nice package to solve my own Poisson equation on the spherical earth. A first glance of the examples show that the package works for analytical problems where analytical expressions are provided.

Just want to know if one can adapt this package for numerical calculation? I have a forcing field $f$ on a given set of latitude/longitude grid points (discret data samples), can I get $u$ solution on the same lat/lon grid points such that $\nabla u - f = 0$? The zonal boundary condition is periodic and meridional boundary conditions are fixed at poles.

[dario-coscia]

Hi @miniufo 👋 Yes, you can apply our software for physics-informed learning. Take a look at this two tutorials to have an idea: Tutorial 1 Tutorial 2 The second tutorial is directly on the Poisson equation. If you already have the coordinates, you can pass them in Condition as input_pts otherwise you can use the Ellipsoid domain from the geometry module :)

[dario-coscia]

Hi @miniufo 👋 do you need more help with this?

[miniufo]

Hi, I haven't tried it yet. But we can close this now and re-open it if necessary.