  Numerical methods: mimetic finite differences and finite elements, are
analyzed from a numerical point of view. It seeks to conclude on the
efficiency, order of convergence and computational cost of these methods. The
analysis is done in boundary value problems one-dimensional
(convection-diffusion equation at steady) with different variations in the
gradient, diffusion coefficient and convective velocity.
  Key Words: Mimetics methods, Finite Element methods, Finite differences
methods, Conservative methods, Convergence.
