Accessing the value of basis functions and quadrature points

General
2

See: Creating and tabulating an element — Basix 0.8.0.0 documentation
and
Creating and using a quadrature rule — Basix 0.8.0.0 documentation
If you want to use it with dolfinx, you can use the pull back if you know what cell you are in, see for instance:
Point Sources (Redux) - #6 by dokken
ie.

 # Pull owning points back to reference cell
    mesh_nodes = mesh.geometry.x
    cmap = mesh.geometry.cmaps[0]
    ref_x = np.zeros((len(cells), mesh.geometry.dim),
                     dtype=mesh.geometry.x.dtype)
    for i, (point, cell) in enumerate(zip(owning_points, cells)):
        geom_dofs = mesh.geometry.dofmap[cell]
        ref_x[i] = cmap.pull_back(point.reshape(-1, 3), mesh_nodes[geom_dofs])