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URI permanente para esta colecciónhttps://repositorio.unal.edu.co/handle/unal/75479
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Item type: Ítem , Numerical approximation of partial differential equations with MFEM library(Universidad Nacional de Colombia, 2021-11-29) Cruz Vasquez, Felipe; Lazarov, Boyan; Galvis Arrieta, Juan Carlos; Cruz Vasquez, Felipe [0002356493]; Cruz Vasquez, Felipe [EXm0rsEAAAAJ]; Cruz Vasquez, Felipe [0009000331877075]; Cruz Vasquez, Felipe [Felipe-Cruz-29]We revise the finite element formulation for Lagrange, Raviart-Thomas, and Taylor-Hood finite element spaces. We solve Laplace equation in first and second order formulation, and compare the solutions obtained with Lagrange and Raviart-Thomas finite element spaces by changing the order of the shape functions and the refinement level of the mesh. Finally, we solve Navier-Stokes equations in a two dimensional domain, where the solution is a steady state, and in a three dimensional domain, where the system presents a turbulent behaviour. All numerical experiments are computed using MFEM library, which is also studied. (Texto tomado de la fuente)