Nicolás Barnafi - Research

Here is a list of the publications I have worked in. Whenever possible, I will link to an open access alternative.

Barnafi NA, Gatica GN, Hurtado DE. Primal and mixed finite element methods for deformable image registration problems. SIAM Journal on Imaging Sciences. 2018.
Barnafi NA, Zunino P, Dede' L, Quarteroni A. Mathematical analysis and numerical approximation of a general linearized poro-hyperelastic model. Computers & Mathematics with Applications. 2020.
Barnafi NA, Gatica GN, Hurtado DE, Miranda W, Ruiz-Baier R. A posteriori error estimates for primal and mixed finite element approximations of the deformable image registration problem. SIAM Journal on Imaging Sciences.
Barnafi NA, Gatica GN, Hurtado DE, Miranda W, Ruiz-Baier R. New primal and dual-mixed finite element methods for stable image registration with singular regularization. Mathematical Models and Methods in Applied Sciences. 2021.
Both JW, Barnafi NA, Radu FA, Zunino P, Quarteroni A. Iterative splitting schemes for a soft material poromechanics model. Computer Methods in Applied Mechanics and Engineering. 2022.
Barnafi NA, Di Gregorio S, Dede' L, Zunino P, Vergara C, Quarteroni A. A multiscale poromechanics model integrating myocardial perfusion and systemic circulation. SIAM Journal on Applied Mathematics. 2022.
Barnafi NA, Both JW. Iterative quasi-Newton solvers for poromechanics applied to heart perfusion. Young Investigators Conference. Editorial Universitat Politècnica de València. 2022.
Barnafi NA, Huynh NMM, Pavarino LF, Scacchi S. Parallel nonlinear solvers in computational cardiac electrophysiology. IFAC-PapersOnLine. Editorial Universitat Politècnica de València. 2022.
Barnafi NA, Gómez-Vargas B, Lourenço WJ, Reis RF, Rocha BM, Lobosco M, Ruiz-Baier R, Weber dos Santos R. Finite Element Methods for Large-Strain Poroelasticity/Chemotaxis Models Simulating the Formation of Myocardial Oedema. Journal of Scientific Computing. 2022.
Barnafi NA, Huynh NMM, Pavarino LF, Scacchi S. Parallel inexact Newton-Krylov and quasi-Newton solvers for nonlinear elasticity. Computer Methods in Applied Mechanics and Engineering. 2022.
Barnafi NA, De Oliveira Vilaca LM, Milinkovitch MC, Ruiz-Baier R. Coupling chemotaxis and growth poromechanics for the modelling of feather primordia patterning. Mathematics. 2022.
Barnafi NA, Dassi F, Scacchi S. Parallel block preconditioners for virtual element discretizations of the time-dependent Maxwell equations. Journal of Computational Physics. 2023.
Barnafi NA, Pavarino LF, Scacchi S. A comparative study of scalable multilevel preconditioners for cardiac mechanics. Journal of Computational Physics. 2023.
Barnafi NA, Riccobelli D, Regazzoni F. Reconstructing relaxed configurations in elastic bodies: mathematical formulation and numerical methods for cardiac modeling. CMAME. 2024.
Barnafi NA, Huynh NMM, Pavarino LF, Scacchi S. Robust parallel nonlinear solvers for implicit time discretizations of the Bidomain equations. CAMWA. 2024.
Barnafi NA, Petras A, Gerardo-Giorda L. Fully nonlinear inverse poroelasticity: Stress-free configuratoin recovery. CMAME. 2024.
Bansal A, Barnafi NA, Pandey DN. Nitsche method for Navier-Stokes equations with slip boundary conditions: Convergence analysis and VMS-LES stabilization. M2AN. 2024.

Preprints:

Barnafi NA, Osses A. Modeling of cardiac fibers as oriented liquid crystals. arXiv. 2023.
Osses A, Barnafi N. Frank-Oseen type solutions with orbits and vortices. HAL. 2023.
Bansal A, Barnafi NA, Ruiz-Baier R, Pandey DN. A Lagrange Multiplier-based method for Stokes-linearized poro-hyperelastic interface problems. arXiv. 2024.