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

Abstract

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.