  Dark Matter is being searched with a variety of methods, each of which
tackles this challenge focusing on different kinds of particles, masses and
couplings. Here we describe Dark Matter searches conducted with accelerators
and fixed targets. In particular, we highlight the contribution of the
experiments being built at the new Mainz Energy-recovery Superconducting
Accelerator (MESA) facility. MESA will provide intense electron beams for
hadron and nuclear physics, as well as for Dark Matter searches with
competitive sensitivities.
