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

Un An\'alisis Comparativo de los M\'etodos Mim\'eticos, Diferencias Finitas y Elementos Finitos para problemas Estacionarios