  The non-linear dynamics of scalar fields coupled to matter and gravity can
lead to remarkable density-dependent screening effects. In this short review we
present the main classes of screening mechanisms, and discuss their tests in
laboratory and astrophysical systems. We particularly focus on reviewing
numerical and technical aspects involved in modeling the non-linear dynamics of
screening. In this review, we focus on tests using laboratory experiments and
astrophysical systems, such as stars, galaxies and dark matter halos.
