2 citations · 3 across the 7 of their papers we have counts for
5 papers · 1 filter
A study on a feedforward neural network to solve partial differential equations in hyperbolic-transport problems
Eduardo Abreu, Joao B. Florindo
In this work we present an application of modern deep learning methodologies to the numerical solution of partial differential equations in transport models. More specifically, we…
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…