Primal and Mixed Finite Element Methods for Deformable Image Registration Problems. - Nicolás A. Barnafi; Gabriel N. Gatica; Daniel E. Hurtado (SIAM J. Imaging Sci., 2018)

Iterative splitting schemes for a soft material poromechanics model. - Jakub Wiktor Both; Nicolás A. Barnafi; Florin A. Radu; Paolo Zunino; Alfio Quarteroni (CoRR, 2020)

Mathematical analysis and numerical approximation of a general linearized poro-hyperelastic model. - Nicolás A. Barnafi; Paolo Zunino; Luca Dedè; Alfio Quarteroni (Comput. Math. Appl., 2021)

Mixed methods for large-strain poroelasticity/chemotaxis models simulating the formation of myocardial oedema. - Nicolás A. Barnafi; Bryan Gomez-Vargas; Wesley de Jesus Lourenço; Ruy Freitas Reis; Bernardo Martins Rocha; Marcelo Lobosco; Ricardo Ruiz-Baier; Rodrigo Weber dos Santos (CoRR, 2021)

Adaptive Mesh Refinement in Deformable Image Registration: A Posteriori Error Estimates for Primal and Mixed Formulations. - Nicolás A. Barnafi; Gabriel N. Gatica; Daniel E. Hurtado; Willian Miranda; Ricardo Ruiz-Baier (SIAM J. Imaging Sci., 2021)

Parallel inexact Newton-Krylov and quasi-Newton solvers for nonlinear elasticity. - Nicolás A. Barnafi; Luca F. Pavarino; Simone Scacchi (CoRR, 2022)

Analysis and numerical validation of robust parallel nonlinear solvers for implicit time discretizations of the Bidomain equations. - Nicolás A. Barnafi; Ngoc Mai Monica Huynh; Luca F. Pavarino; Simone Scacchi (CoRR, 2022)

Coupling chemotaxis and growth poromechanics for the modelling of feather primordia patterning. - Nicolás A. Barnafi; Luis Miguel De Oliveira Vilaca; Michel C. Milinkovitch; Ricardo Ruiz-Baier (CoRR, 2022)

Finite Element Methods for Large-Strain Poroelasticity/Chemotaxis Models Simulating the Formation of Myocardial Oedema. - Nicolás A. Barnafi; Bryan Gomez-Vargas; Wesley de Jesus Lourenço; Ruy Freitas Reis; Bernardo M. Rocha; Marcelo Lobosco; Ricardo Ruiz-Baier; Rodrigo Weber dos Santos (J. Sci. Comput., 2022)

A Multiscale Poromechanics Model Integrating Myocardial Perfusion and the Epicardial Coronary Vessels. - Nicolás Alejandro Barnafi Wittwer; Simone Di Gregorio; Luca Dedè; Paolo Zunino; Christian Vergara; Alfio Quarteroni (SIAM J. Appl. Math., 2022)

Modeling of cardiac fibers as oriented liquid crystals. - Nicolás A. Barnafi; Axel Osses (CoRR, 2023)

Nitsche method for Navier-Stokes equations with slip boundary conditions: Convergence analysis and VMS-LES stabilization. - Aparna Bansal; Nicolás Alejandro Barnafi; Dwijendra Narain Pandey (CoRR, 2023)

Reconstructing relaxed configurations in elastic bodies: Mathematical formulation and numerical methods for cardiac modeling. - Nicolás A. Barnafi; Francesco Regazzoni 002; Davide Riccobelli (CoRR, 2023)

Parallel block preconditioners for virtual element discretizations of the time-dependent Maxwell equations. - Nicolás A. Barnafi; Franco Dassi; Simone Scacchi (J. Comput. Phys., 2023)

A comparative study of scalable multilevel preconditioners for cardiac mechanics. - Nicolás A. Barnafi; Luca F. Pavarino; Simone Scacchi (J. Comput. Phys., 2023)

Robust parallel nonlinear solvers for implicit time discretizations of the Bidomain equations with staggered ionic models. - Nicolás Alejandro Barnafi; Ngoc Mai Monica Huynh; Luca F. Pavarino; Simone Scacchi (Comput. Math. Appl., 2024)

Efficient reference configuration formulation in fully nonlinear poroelastic media. - Nicolás Alejandro Barnafi; Argyrios Petras; Luca Gerardo-Giorda (CoRR, 2024)

A Lagrange Multiplier-based method for Stokes-linearized poro-hyperelastic interface problems. - Aparna Bansal; Nicolás A. Barnafi; Dwijendra Narain Pandey; Ricardo Ruiz-Baier (CoRR, 2024)

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 A. Barnafi; Rodolfo Araya; Dwijendra Narain Pandey (CoRR, 2025)

Two-Level Sketching Alternating Anderson acceleration for Complex Physics Applications. - Nicolás A. Barnafi; Massimiliano Lupo Pasini (CoRR, 2025)

Tree-based adaptive finite element methods for deformable image registration. - Nicolás A. Barnafi; Alberto F. Martín; Ricardo Ruiz-Baier (CoRR, 2025)