Multiscale hybrid mixed finite element methods for fluid flow in porous media and wave propagation models (FONDECYT #11140699)
Coordenador do Projeto:
Diego Fabián Paredes Concha
Antônio Tadeu Azevedo Gomes
Frédéric Gerard Christian Valentin
Laboratório Nacional de Computação Científica - LNCC
Pontificia Universidad Católica de Chile - Chile
The purpose of this project 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, analyze, 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.