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Instituto de Matemáticas Aplicadas UCV

Proyecto Fondecyt de iniciación “Multiscale Hybrid Mixed Finite Element Methods for Fluid Flow in Porous Media and Wave Propagation Models”

Resumen

The purpose of this proposal is to provide new developments concerning the numerical analysis and efficient parallel implementations of novel multiscale finite element methods. The approaches are applied in particular to the solution of fluid flow in porous media and wave propagation models.
Our work, can be divided into three main topics:
1. To derive, test, analyse, and obtain new theoretical results on new mutiscale numerical methods for hydro-dynamics, steady/unsetady reaction-advection-diffussion and electromagnetic and elastodynamic wave propagation models, in highly heterogeneous media, including complex topological features (interfaces between geological media, faults, etc.), using the presented Multiscale Hybrid Mixed approach.
2. To create an efficient platform for the parallel implementation of the new developed methods on a High Performance Computing (HPC) cluster, and using GP/GPU technology.
3. To apply the new mathematical and computational tools on realistic models to obtain useful simulations.

Nombre del proyecto: Multiscale Hybrid Mixed Finite Element Methods for Fluid Flow in Porous Media and Wave Propagation Models

Código: 11140699

Fuente de financiamiento: CONICYT

Investigador: Diego Paredes

Rol: Investigador Responsable

País: Chile

Fecha de inicio del proyecto: 03/11/2014

Fecha fin del proyecto: 06/11/2017

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