10 citations · 32 across the 6 of their papers we have counts for
6 papers
AlgMortar: a fully algebraic multiscale mortar preconditioner
Luan F. Santos, Fabricio S. Sousa, Roberto F. Ausas +2
The solution of large-scale symmetric positive definite (SPD) linear systems arising from discretizations of second-order elliptic equations is challenging, especially in applicati…
A multiscale Robin-coupled implicit method for two-phase flows in high-contrast formations
Franciane F. Rocha, Fabricio S. Sousa, Roberto F. Ausas +2
In the presence of strong heterogeneities, it is well known that the use of explicit schemes for the transport of species in a porous medium suffers from severe restrictions on the…
The Multiscale Perturbation Method for Two-Phase Reservoir Flow Problems
Franciane F. Rocha, Het Mankad, Fabricio S. Sousa +1
In this work we formulate and test a new procedure, the Multiscale Perturbation Method for Two-Phase Flows (MPM-2P), for the fast, accurate and naturally parallelizable numerical s…
Towards HPC simulations of Billion-cell Reservoirs by Multiscale Mixed Methods
A. Jaramillo, Rafael T. Guiraldello, Stevens Paz +4
A three dimensional parallel implementation of Multiscale Mixed Methods based on non-overlapping domain decomposition techniques is proposed for multi-core computers and its comput…
Interface spaces based on physics for multiscale mixed methods applied to flows in fractured-like porous media
Franciane F. Rocha, Fabricio S. Sousa, Roberto F. Ausas +2
It is well known that domain-decomposition-based multiscale mixed methods rely on interface spaces, defined on the skeleton of the decomposition, to connect the solution among the…
Recursive formulation and parallel implementation of multiscale mixed methods
E. Abreu, P. Ferraz, A. M. Espírito Santo +3
Multiscale methods for second order elliptic equations based on non-overlapping domain decomposition schemes have great potential to take advantage of multi-core, state-of-the-art…