22 citations · 27 across the 12 of their papers we have counts for
4 papers · 2 filters
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…
On the conservation properties in multiple scale coupling and simulation for Darcy flow with hyperbolic-transport in complex flows
Juan Galvis, Eduardo Abreu, Ciro Diaz +1
We present and discuss a novel approach to deal with conservation properties for the simulation of nonlinear complex porous media flows in the presence of: 1) multiscale heterogene…
Error estimates for semidiscrete Galerkin and collocation approximations to pseudo-parabolic problems with Dirichlet conditions
Eduardo Abreu, Angel Durán
This paper is concerned with the numerical approximation of the Dirichlet initial-boundary-value problem of nonlinear pseudo-parabolic equations with spectral methods. Error estima…
On the use of spectral discretizations with time strong stability preserving properties to Dirichlet pseudo-parabolic problems
Eduardo Abreu, Angel Durán
This paper is concerned with the approximation of linear and nonlinearinitial-boundary-value problems of pseudo-parabolic equations with Dirichlet boundary conditions. They are dis…