activity
20142026
most citedInterface spaces based on physics for multiscale mixed methods applied to flows in fractured-like porous media

10 citations · 50 across the 13 of their papers we have counts for

collaborators

13 papers

math.NA2026

A Data-Driven Computational Framework for Incompressible Flow in Hydraulic Networks

Pedro B. Bazon, Cristian G. Gebhardt, Roberto F. Ausas

The classical procedure for solving hydraulic networks relies on the assumption of constitutive equations, which state the relationship between the pressure gradient and fluxes alo…

math.NA2026

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…

math.NA2025

A variational multiscale approach to PDE-constrained optimization problems arising in Data-Driven Computational Mechanics

Ramon Codina, Roberto Federico Ausas, Pedro Balbão Bazon +1

We consider the primal and dual forms of the optimality conditions for PDE-contrained optimization problems arising in Data-Driven Computational Mechanics when specialized to the r…

math.NA2025

Numerical approximation of a PDE-constrained Optimization problem that appears in Data-Driven Computational Mechanics

Pedro B. Bazon, Cristian G. Gebhardt, Gustavo C. Buscaglia +1

We investigate an optimization problem that arises when working within the paradigm of Data-Driven Computational Mechanics. In the context of the diffusion-reaction problem, such a…

physics.flu-dyn2025

Finding the Underlying Viscoelastic Constitutive Equation via Universal Differential Equations and Differentiable Physics

Elias C. Rodrigues, Roney L. Thompson, Dário A. B. Oliveira +1

This research employs Universal Differential Equations (UDEs) alongside differentiable physics to model viscoelastic fluids, merging conventional differential equations, neural net…

cs.LG2022★ 5 cited

Chemoreception and chemotaxis of a three-sphere swimmer

Stevens Paz, Roberto F. Ausas, Juan P. Carbajal +1

The coupled problem of hydrodynamics and solute transport for the Najafi-Golestanian three-sphere swimmer is studied, with the Reynolds number set to zero and Péclet numbers (Pe) r…

math.NA2022★ 3 cited

Topology optimization including a model of the layer-by-layer additive manufacturing process

G. A. Haveroth, C-J. Thore, M. R. Correa +4

A topology optimization formulation including a model of the layer-by-layer additive manufacturing (AM) process is considered. Defined as a multi-objective minimization problem, th…

math.NA2021★ 7 cited

A finite element method for simulating soft active non-shearable rods immersed in generalized Newtonian fluids

Roberto F. Ausas, Cristian G. Gebhardt, Gustavo C. Buscaglia

We propose a finite element method for simulating one-dimensional solid models moving and experiencing large deformations while immersed in generalized Newtonian fluids. The method…

math.NA2021★ 9 cited

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…

cond-mat.mtrl-sci2021★ 9 cited

Towards a single-phase mixed formulation of refractory castables and structural concrete at high temperatures

M. H. Moreira, R. F. Ausas, S. Dal Pont +3

Structural materials are broadly used in applications such as nuclear vessels, high-temperature processes, and civil construction. Usually, during their placing and lifespan, they…

math.NA2021★ 3 cited

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…

math.NA2021★ 10 cited

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…

math.NA2014★ 4 cited

A semi-implicit finite element method for viscous lipid membranes

Diego S. Rodrigues, Roberto F. Ausas, Fernando Mut +1

We propose a robust simulation method for phospholipid membranes. It is based on a mixed three-field formulation that accounts for tangential fluidity (Boussinesq-Scriven law), ben…