Hello,
I have a (2D) domain with a closed fitted interface Gamma, and I would like to define a finite element space only on the interface. Then I will use this finite element space to solve the Laplace-Beltrami equation on this interface.
I was thinking of defining a global H1 space on the whole domain, then set false all DOFs away from the interface, and then compress the space. Is this a correct way for the set-up? Or is there more efficient alternatives?
Best,
Guosheng