  Magnetic domain walls function as a wave guide for low energy magnons. In
this paper we develop the theory for the non-local transport of these bound
magnons through a ferromagnetic insulator that are injected and detected
electrically in adjacent normal metal leads by spin-flip scatting processes and
the (inverse) spin-Hall effect. Our set-up requires a twofold degeneracy of the
magnetic ground state, which we realize by an easy axis and hard axis
anisotropy, in the ferromagnetic insulator. This is readily provided by a broad
range of materials. The domain wall is a a topologically protected feature of
the system and we obtain the non-local spin transport through it. Thereby we
provide a framework for reconfigureable magnonic devices.
