How to deal with output files of meshio in FEniCS

I would suggest using xdmf format instead of the legacy xml format. There is a long thread on how to use meshio to write xdmf meshes to be then read in dolfin, see here.
As for loading xdmf meshes

from dolfin import *
mesh = Mesh()
XDMFFile("<name>.xdmf").read(mesh)

should work. There are plenty of examples by Dokken in the thread above.

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