Hey y’all!
As a part of my master thesis, I’m trying to implement a mixed finite element method for a diffusion equation on a curved surface. This means that I have to use RT0
finite elements on a meshS
. The problem is that functions in such a finite element space only have two components (e.g. [v1, v2]
), whereas the global x-y-z coordinate system is obviously three-dimensional. In particular, this means that I can’t simply use dx
,dy
,dz
to compute the surface divergence of such a function. How would I go about using RT0
elements on a meshS
, and is it possible to compute the surface divergence?
Thanks in advance for your time!