How to obtain the basis functions in DG space

[dokken]

Well, they will of course give the same result, as by setting the ith and jth degree of freedom to one, you are making a global basis function.

This only works for specific spaces (Lagrange, DG), and not necessarily for Nedelec/RT, as covered in: Assemble with dolfin VS dolfinx - #2 by dokken

Note that the second approach is doing alot more work than the first approach.
It will integrate over the whole domain M**2 times (M=V.dim()), while the first approach does the integration once.

I still do not understand the need for the tabulated values of a basis function here?

You have also not explained what is wrong with the approach in:

Accessing the basis function of a Finite Element

Hello to everybody, I am working with a problem where I need to directly access the basis functions of a Finite Element. A minimal example would be: >>> from fenics import * >>> mesh = UnitSquareMesh(8,8) >>> V = FunctionSpace(mesh, 'P', 1) >>> V.dim() displays 81. Then I’d like to have a Python list of all these 81 functions, and being able to evaluate/use them. The precise reason beyond this is very long to describe, since it involves connections with other mathematical objects I am studyin…