Create a 1D mesh in a 2D space

dolfinx
7

Using this non-matching meshes interpolation function seems to work.
Taken from GJK error in interpolation between non matching second ordered 3D meshes - #6 by chenyongxin

def nmm_interpolate(f_out: dolfinx.fem.Function, f_in: dolfinx.fem.Function):
    """Non Matching Mesh Interpolate: interpolate one function (f_in) from one mesh into
    another function (f_out) with a mismatching mesh

    args:
        f_out: function to interpolate into
        f_in: function to interpolate from

    notes:
    https://fenicsproject.discourse.group/t/gjk-error-in-interpolation-between-non-matching-second-ordered-3d-meshes/16086/6
    """

    dim = f_out.function_space.mesh.topology.dim
    index_map = f_out.function_space.mesh.topology.index_map(dim)
    ncells = index_map.size_local + index_map.num_ghosts
    cells = np.arange(ncells, dtype=np.int32)
    interpolation_data = dolfinx.fem.create_interpolation_data(
        f_out.function_space, f_in.function_space, cells, padding=1e-11
    )
    f_out.interpolate_nonmatching(f_in, cells, interpolation_data=interpolation_data)