  A conservative invariant domain preserving Arbitrary Lagrangian Eulerian
method for solving nonlinear hyperbolic systems is introduced. The method is
explicit in time, works with continuous finite elements and is first-order
accurate in space. One originality of the present work is that the artificial
viscosity is unambiguously defined irrespective of the mesh geometry/anisotropy
and does not depend on any ad hoc parameter. The proposed method is meant to be
a stepping stone for the construction of higher-order methods in space by using
appropriate limitation techniques.
