Hi,

I was wondering if there is any difference between the governing equations for a 2D PDE defined over a “flat” 2D region, versus the same PDE defined over a 2D manifold in 3D space (geometric dimension 3, topological dimension 2). Does the same PDE hold, just with differential operators defined on the “tangent” space coordinates? Does this change the UFL implementation?

Sorry if this question is too general; I’m not familiar with this topic so would appreciate any help or sources where I can better understand it.

Thanks,

Jon