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Nicolás Alejandro Barnafi Wittwer

Assistant Professor

Pontificia Universidad Católica de Chile

Santiago, Chile

Líneas de Investigación


Scientific computing, Numerical Analysis, Computational Mechanics.

Educación

  •  Computational Mathematics, POLITECNICO DE MILANO. Italia, 2021
  •  Engineering, PONTIFICIA UNIVERSIDAD CATOLICA DE CHILE. Chile, 2017
  •  Mathematical Engineering, PONTIFICIA UNIVERSIDAD CATOLICA DE CHILE. Chile, 2017
  •  Industrial Engineering, Diploma in Mathematics, PONTIFICIA UNIVERSIDAD CATOLICA DE CHILE. Chile, 2017

Experiencia Académica

  •   CMM-CNRS Researcher Other

    Centro de Modelamiento Matemático

    Santiago, Chile

    2023 - At present

  •   Postdoctoral researcher Full Time

    UNIVERSITA DEGLI STUDI DI MILANO

    Italia

    2020 - 2021

  •   Postdoctoral researcher Full Time

    UNIVERSITA DEGLI STUDI DI PAVIA

    Italia

    2021 - 2022

  •   Postdoctoral researcher Full Time

    Centro de Modelamiento Matemático

    Chile

    2022 - 2023

  •   ANID Postdoctoral researcher Full Time

    PONTIFICIA UNIVERSIDAD CATOLICA DE CHILE

    Chile

    2023 - 2023

Formación de Capital Humano


Ph.D. graduates:

- Aparna Bansal, Mathematics, IIT Roorkee.

M.Sc. graduates:

- Arturo Muñoz, Ciencias de la Ingeniería, Universidad de Chile. With Axel Osses.

Current:

- Diego Vera, Magíster en Ingeniería Matemática, Pontificia Universidad Católica de Chile. With Manuel Sánchez.
- Cristóbal Ramos, Ciencias de la Ingeniería, Universidad de Chile. With Axel Osses.
- Elías Basulto, Magíster en Ingeniería Matemática, Pontificia Universidad Católica de Chile. With Daniel Hurtado.


Difusión y Transferencia


Presentation in conferences:

LACIAM Valparaíso – Chile 2026
MS Organizer, Numerical methods and approximations for poroelastic materials.
Speaker, Cardiac ablation as a thermoporoelastic continuum.
Speaker, Monotone Operator Convergence Theory for GPME.

IPPhyis Puerto Varas – Chile 2026
Speaker, The Inverse (Poro)elasticity problem.

JKU Seminar Linz – Austria 2025
Speaker, Monotone operator convergence theory for GPME

SSD–CATS RWTH Aachen – Germany 2025
Speaker, Modeling of Cardiac fibers as Liquid Crystals.

C2MC Concepción – Chile 2025
Plenary Speaker, E?icient Numerical Methods for Solving (almost) Everything.

GIBIT Day Santiago – Chile 2025
Speaker, Mathematical models for biomedicine and beyond.

Applied Inverse Problems (AIP) Rio de Janeiro – Brazil 2025
Speaker, Inverse (poro)elasticity in biomedicine.

Seminario Estudiantil de Ecuaciones Diferenciales Chillán – Chile 2025
Plenary Speaker, Modelos matemáticosy sus aplicaciones.

Talca Numérica I Talca – Chile 2025
Event Organizer & Speaker, Monotonce operator convergence theory for GPME.

Math2Product (M2P) Valencia – Spain 2025
MS Organizer, E?icient solution of complex physics.
Speaker, Cardiac fibers as liquid crystals.

Jornadas Matemáticas de la Zona Sur Talca – Chile 2025
Speaker, Robust Solution of nonlinear poroelasticity.

Heidelberg-Chile Meeting Santiago – Chile 2025
Speaker, Liquid crystal modeling of cardiac fibers.
Speaker, Robust and scalable solvers in nonlinear poroelasticity.

Computational Fluid Conference Santiago – Chile 2025
Speaker, Weakly slip conditions in NS: Convergence and VMS-LES.

Inria-LNCC-Chile Meeting Petropolis – Brazil 2025
Speaker, Robust and scalable solvers in nonlinear poroelasticity.

SIAM CSE25 Fort Worth – US2025
Speaker, E?icient solution of multiphysics problems with Anderson Acceleration.

Congreso Chileno de Mecánica Computacional Quilpué – Chile 2024
Speaker, Robust scalable solvers in [poro]elasticity.

WCCM Vancouver – Canada 2024
Speaker, Robust and scalable solvers in nonlinear poroelasticity.

New Frontiers in MathBio Santiago – Chile 2024
Speaker, Analysis [...] of fully nonlinear poroelasticity.

ORNL Julia Meeting Oak Ridge – USA 2024
Speaker, Anderson acceleration for multiphysics problems.

ECCOMAS Lisbon – Portugal 2024
MS Organizer, Robust and Scalable Solvers in HPC.

JMZS2024 Temuco – Chile 2024
Speaker, E?icient solvers for poroelasticity, p-nematic liquid crystals.
MS Organizer, MS: Biomatemática

WONAPDE Concepción – Chile 2024
Speaker, Cardiac ablation as multiphase continuum.
Speaker, E?icient solvers in nonlinear poroelasticity.
MS Organizer, MS: Effective solvers for innovative discretizations.

2024SOMACHI Santiago – Chile 2023
Speaker, Discretización consistente de la poroelasticidad no-lineal.

Special Semester Linz – Austria 2023
Speaker, Thermoporoelastic modeling of cardiac ablation.

Workshop Mat. Interdisciplinar Concepción – Chile 2023
Speaker, Modelos matemáticos para la cardiología computacional.

DIM-PDE Seminar Santiago – Chile 2023
Speaker, Variational techniques for non-trivial boundary conditions.

ICIAM2023 Tokyo - Japan 2023
Speaker, Scalable, parallel and robust solvers for cardiac simulations.
MS Organizer, MS: E?icient and scalable solvers for multiscale phenomena.

Caleta Numérica Valparaíso – Chile 2023
Speaker, Matemática computacional para tejidos blandos.

SIAMGS23 Bergen – Norway 2023
Speaker, Robust and scalable solvers in nonlinear poroelasticity.

YIC23 Porto – Portugal 2023
Speaker, Anderson acceleration for robust and scalable quasi-Newton methods.

LSSC23’ Sozopol – Bulgary 2023
Speaker, Accelerated Quasi-Newton schemes for multiphysics.

M2P Taormina – Italy 2023
Speaker, A bridge between cardiac fibers and liquid crystals.

JMZS2023 Concepción – Chile 2023
Attendee, Jornadas Matemáticas de la Zona Sur.

IPMAS2023 Santiago – Chile 2023
Attendee, Inverse problems methods, applications and synergies.

MCFM2022 Cetraro – Italy 2022
Speaker, Robust and scalable solvers for cardiac electromechanics.

GACM2022 Essen – Germany 2022
Speaker, A variational approach for the Bidomain equations in electrophysiology.

GIMC-SIMAI Pavia – Italy 2022
MS Organizer, Fluid flows and porous media.

MATHMOD2022 Viena – Austria 2022
Speaker, Large strain porochemoelastic model for [...] myocardial oedema.

IMG2022 Lugano – Switzerland 2022
Speaker, Robust and scalable solvers for cardiac electormechanics.

WCCM2022 Online 2022
Speaker, E?icient solvers in cardiac mechanics.

CMBE22 Milan – Italy 2022
Speaker, Scalable parallel solvers for cardiac electromechanics.

COLIBRI Focus Workshop 2022 Graz – Austria 2022
Speaker, Large strain porochemoelastic model for [...] myocardial oedema.

DDM Milan – Italy 2021
Attendee, Summer School on Advanced Domain Decomposition Methods.

Young MNCM Pavia – Italy 2021
Event Organizer, Young Researchers Workshop on Num and Math Cardiac Modeling.

SIMAI2021 Parma – Italy 2021
Speaker, Talk 1: Cardiac poromechanics, Talk 2: Scalable solvers for mechanics.

YAMC2021 Leuca – Italy 2021
Speaker, Cardiac modeling: From micro to macro scales.

MCF2021 Milan – Italy 2021
Speaker, Scalable domain decomposition preconditioners for cardiac mechanics.

SIAM GS21 Online
Speaker, Numerical Approximation and E?icient Solvers for [...] linear poromechanics.

5th Soft Tissue Workshop Online 2021
Speaker, A novel mathematical novel for cardiac perfusion.

RISM iHeart: Modelling the Cardiac Function Varese – Italy 2019
Speaker, Numerical Analysis of a linearized poro-hyperelastic formulation.


Premios y Distinciones

  •   FONDECYT Postdoctoral

    FONDECYT

    Chile, 2023

    COMPUTATIONAL MODELING OF OXYGEN SUPPLY IN TISSUES UNDER LARGE DEFORMATIONS

  •   ECOS-ANID

    FONDECYT

    Chile, 2025

    Collaboration grant with Laurent Seppecher from École Centrale Lyon. Title "Mathematical and numerical models for parameter identification in soft tissue"

  •   SIAM Postdoctoral Grant

    Society for Industrial and Applied Mathematics

    Estados Unidos, 2024

    Collaboration grant with Massimiliano Lupo Pasini from Oak Ridge National Laboratory.

  •   Robert Bartnik Fellowship

    MONASH UNIVERSITY

    Australia, 2026

    Collaboration grant with Sergio Rojas on Neural Network Approximation of PDEs.


 

Article (15)

A Lagrange multiplier-based method for Stokes-generalized poroelasticity interface problems
Equal-order stabilized finite elements with nitsche for the stationary navier-Stokes problem with slip boundary conditions
Modeling of cardiac fibers as oriented liquid crystals
Tree-based adaptive finite element methods for deformable image registration
Fully nonlinear inverse poroelasticity: Stress-free configuration recovery
NITSCHE METHOD FOR NAVIER-STOKES EQUATIONS WITH SLIPBOUNDARY CONDITIONS: CONVERGENCE ANALYSIS AND VMS-LESSTABILIZATION
Reconstructing relaxed configurations in elastic bodies: Mathematical formulations and numerical methods for cardiac modeling
Robust parallel nonlinear solvers for implicit time discretizations of the Bidomain equations with staggered ionic models
A comparative study of scalable multilevel preconditioners for cardiac mechanics
Parallel block preconditioners for virtual element discretizations of the time-dependent Maxwell equations
Coupling Chemotaxis and Growth Poromechanics for the Modelling of Feather Primordia Patterning
Finite Element Methods for Large-Strain Poroelasticity/Chemotaxis Models Simulating the Formation of Myocardial Oedema
Adaptive Mesh Refinement in Deformable Image Registration: A Posteriori Error Estimates for Primal and Mixed Formulations
New Primal and Dual-Mixed Finite Element Methods for Stable Image Registration with Singular Regularization
Primal and Mixed Finite Element Methods for Deformable Image Registration Problems
2
Daniel Hurtado

Full Professor

Institute for Biological and Medical Engineering

PONTIFICIA UNIVERSIDAD CATOLICA DE CHILE, DEPTO. INGENIERIA ESTRUCTURAL Y GEOTECNICA

Santiago, Chile

1
Gabriel Gatica

Senior Researcher and Full Professor

Center for Research in Mathematical Engineering and Department of Mathematical Engineering

Universidad de Concepcion

Concepcion, Chile

15
Nicolás Barnafi

Assistant Professor

Instituto de Ingeniería Matemática y Computacional, Facultad de Ciencias Biológicas

Pontificia Universidad Católica de Chile

Santiago, Chile