16 citations · 58 across the 20 of their papers we have counts for
22 papers
A Stress-Based Estimator for Pressure and Stress Recovery from Velocity Measurements
Nicolás Barnafi, Benjamín Cisternas, Ernesto Castillo +1
Non-invasive pressure field estimation from velocity measurements is a longstanding engineering problem. We propose, analyze, and test a pressure-recovery method that computes a fu…
Numerical approach to the London Equation of superconductivity
Nicolás Barnafi, Ignacio Labarca-Figueroa, Carlos Román
In this work, we propose a general discretization strategy for solving the London equation for type-II superconductors in the whole space . To compute the magnetic fi…
Linear poroelasticity with solid incompressibility: consistent formulation and scalable numerical solution
Nicolás A. Barnafi, Andrés E. Rubiano, Ricardo Ruiz-Baier
In this work we propose, by linearizing the equations of fully nonlinear poroelasticity, a consistent model in which only the solid phase is incompressible. This reformulation circ…
Nitsche's method for the stationary Boussinesq system under mixed and nonlinear boundary conditions
Aparna Bansal, Nicolás A. Barnafi, Gianmarco Sperone +1
In this paper we analyze Nitsche's method for the stationary Boussinesq system with Navier's slip and a nonlinear boundary condition. Our analysis of the formulation establishes th…
Finite element analysis of an eigenvalue problem arising from neutron transport
Nicolás A. Barnafi, Felipe Lepe, Francisca Muñoz Riquelme
In two and three dimensions, we analyze a finite element method to approximate the solutions of an eigenvalue problem arising from neutron transport. We derive the eigenvalue probl…
Accelerated implicitization: Robust fixed-point iterations arising from an explicit scheme
Nicolas A. Barnafi, Felipe Galarce, Pablo Brubeck
This work proposes a general strategy for solving possibly nonlinear problems arising from implicit time discretizations as a sequence of explicit solutions. The resulting sequence…
A Nitsche method for Navier--Stokes/generalized poroelasticity interface problems
Aparna Bansal, Nicolas A. Barnafi, Dwijendra Narain Pandey +1
We consider a time-dependent coupled Navier--Stokes/generalized poroelastic flow problem and propose a unified and monolithic finite element discretization based on implicit time s…
Tree-based adaptive finite element methods for deformable image registration
Nicolás A. Barnafi, Alberto F. Martın, Ricardo Ruiz-Baier
In this work we propose an adaptive Finite Element Method (FEM) formulation for the Deformable Image Registration problem (DIR) together with a residual-based a posteriori error es…
Two-Level Sketching Alternating Anderson acceleration for Complex Physics Applications
Nicolás A. Barnafi, Massimiliano Lupo Pasini
We present a novel two-level sketching extension of the Alternating Anderson-Picard (AAP) method for accelerating fixed-point iterations in challenging single- and multi-physics si…
Equal order stabilized finite elements with Nitsche for stationary Navier-Stokes problem with slip boundary conditions : a priori and a posteriori error analysis
Aparna Bansal, Nicolás Barnafi, Rodolfo Araya +1
In this work, we extend the equal-order stabilized scheme discussed in [Franca et al., Comput. Methods Appl. Mech. Engrg. 99 (1992) 209-233] to accommodate slip (i.e., Navier) boun…
A Lagrange Multiplier-based method for Stokes-linearized poro-hyperelastic interface problems
Aparna Bansal, Nicolás A. Barnafi, Dwijendra Narain Pandey +1
We propose a model for the coupling between free fluid and a linearized poro-hyperelastic body. In this model, the Brinkman equation is employed for fluid flow in the porous medium…
Efficient reference configuration formulation in fully nonlinear poroelastic media
Nicolás A. Barnafi, Argyrios Petras, Luca Gerardo-Giorda
Typical pipelines for model geometry generation in computational biomedicine stem from images, which are usually considered to be at rest, despite the object being in mechanical eq…
Reconstructing relaxed configurations in elastic bodies: Mathematical formulations and numerical methods for cardiac modeling
N. A. Barnafi, F. Regazzoni, D. Riccobelli
Modeling the behavior of biological tissues and organs often necessitates the knowledge of their shape in the absence of external loads. However, when their geometry is acquired in…
Nitsche method for Navier-Stokes equations with slip boundary conditions: Convergence analysis and VMS-LES stabilization
Aparna Bansal, Nicolás Alejandro Barnafi, Dwijendra Narain Pandey
In this paper, we analyze the Nitsche's method for the stationary Navier-Stokes equations on Lipschitz domains under minimal regularity assumptions. Our analysis provides a robust…
Modeling of cardiac fibers as oriented liquid crystals
Nicolás A. Barnafi, Axel Osses
In this work we propose a mathematical model that describes the orientation of ventricular cardiac fibers. These fibers are commonly computed as the normalized gradient of certain…
Coupling chemotaxis and growth poromechanics for the modelling of feather primordia patterning
Nicolás A. Barnafi, Luis Miguel De Oliveira Vilaca, Michel C. Milinkovitch +1
We propose a new mathematical model for the interaction of skin cell populations with fibroblast growth factor and bone morphogenetic protein, occurring within deformable porous me…
Robust parallel nonlinear solvers for implicit time discretizations of the Bidomain equations
Nicolás A. Barnafi, Ngoc Mai Monica Huynh, Luca F. Pavarino +1
In this work, we study the convergence and performance of nonlinear solvers for the Bidomain equations after decoupling the ordinary and partial differential equations of the cardi…
A comparative study of scalable multilevel preconditioners for cardiac mechanics
Nicolás A. Barnafi, Luca F. Pavarino, Simone Scacchi
In this work, we provide a performance comparison between the Balancing Domain Decomposition by Constraints (BDDC) and the Algebraic Multigrid (AMG) preconditioners for cardiac mec…
Parallel block preconditioners for virtual element discretizations of the time-dependent Maxwell equations
Nicolás A. Barnafi, Franco Dassi, Simone Scacchi
The focus of this study is the construction and numerical validation of parallel block preconditioners for low order virtual element discretizations of the three-dimensional Maxwel…
Parallel inexact Newton-Krylov and quasi-Newton solvers for nonlinear elasticity
Nicolás A. Barnafi, Luca F. Pavarino, Simone Scacchi
In this work, we address the implementation and performance of inexact Newton-Krylov and quasi-Newton algorithms, more specifically the BFGS method, for the solution of the nonline…
Finite element methods for large-strain poroelasticity/chemotaxis models simulating the formation of myocardial oedema
Nicolas Barnafi, Bryan Gómez-Vargas, Wesley de Jesus Lourenço +5
In this paper we propose a novel coupled poroelasticity-diffusion model for the formation of extracellular oedema and infectious myocarditis valid in large deformations, manifested…
Iterative splitting schemes for a soft material poromechanics model
Jakub W. Both, Nicolas A. Barnafi, Florin A. Radu +2
We address numerical solvers for a poromechanics model particularly adapted for soft materials, as it generally respects thermodynamics principles and energy balance. Considering t…