Resumen The Finite Element Method (FEM) is used to solve problems like solid deformation
and heat diffusion in domains with complex geometries. This kind of geometries requires …

Este trabajo presenta el diseño, construcción y configuración de un sistema de
computadoras agrupadas en un arreglo tipo clúster, el cual tiene un bajo costo y es …

This thesis aims at improving the convergence of iterative solvers, used for algebraic
systems coming from the discretization of partial differential equations (PDE), in the context …

We present a new open source library and tools for solving large linear systems of equations
with sparse matrices resulting from simulations with finite element, finite volume and finite …

1. Reordering of rows and columns of the matrix to reduce fill-in in L. This is equivalent to
use a permutation matrix to reorder the system (PAPT)(P x)=(P b). 2. Use symbolic Cholesky …

We explore a structure optimization strategy that is analogous to how bones are formed in
embryos, where shape and strength are mostly defined. The strategy starts with a …

1. Reordering of rows and columns of the matrix to reduce fill-in in L. This is equivalent to
use a permutation matrix to reorder the system (PAPT)(P x)=(P b). 2. Use symbolic Cholesky …

Computer clusters and MPI........................................................................................................ 24
Numerical experiments................................................................................................................... 24 …