  We analyse the effect of confining rigid and elastic boundaries on the
motility of a model dipolar microswimmer. Flexible boundaries are deformed by
the velocity field of the swimmer in such a way that the motility of both
extensile and contractile swimmers is enhanced. The magnitude of the increase
in swimming velocity is controlled by the ratio of the swimmer-advection and
elastic timescales, and the dipole moment of the swimmer. We explain our
results by considering swimming between inclined rigid boundaries.
