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Sergio Andrés Rojas Hernández

Profesor Asociado

Pontificia Universidad Católica de Valparaíso

Valparaíso, Chile

Líneas de Investigación


Numerical Analysis, Scientific Computing, Mathematical Modeling

Educación

  •  Engineering Sciences , PONTIFICIA UNIVERSIDAD CATOLICA DE CHILE. Chile, 2017
  •  Engineering Sciences , PONTIFICIA UNIVERSIDAD CATOLICA DE CHILE. Chile, 2017
  •  Mathematics, UNIVERSITA DEGLI STUDI DI PAVIA. Italia, 2012
  •  Mathematics, PONTIFICIA UNIVERSIDAD CATOLICA DE VALPARAISO. Chile, 2008

Experiencia Académica

  •   Research Associate Full Time

    CURTIN UNIVERSITY OF TECHNOLOGY

    Science and Engineering

    Perth, Australia

    2018 - 2021

  •   Profesor Asociado Full Time

    PONTIFICIA UNIVERSIDAD CATOLICA DE VALPARAISO

    Facultad de Ciencias

    Valparaíso, Chile

    2021 - A la fecha

Experiencia Profesional

  •   Research Associate Full Time

    CURTIN UNIVERSITY OF TECHNOLOGY

    Perth, Australia

    2018 - 2021

  •   Profesor Asociado Full Time

    Pontificia Universidad Católica de Valparaíso

    Valparaíso, Chile

    2021 - A la fecha

Formación de Capital Humano


Jorge Perera (Ongoing). Doctorado en Matemáticas en consorcio PUCV-UTFSM-UV.


Difusión y Transferencia


2023
- Title: Stabilized Variational Physics-Informed Neural Networks.
Venue: A2S Group Seminar, AGH University of Science and Technology. Krakow, Poland

2022
- Title: A superconvergent adaptive stabilized finite element method based on residual minimization.
Venue: ECCOMAS 2022, Oslo, Noruega
- Title: Regularization of rough linear functionals and adaptivity
Venue: MINRES/LS-5, Santiago, Chile
- Title: VPINNs is actually a good method
Venue: Numerical Methods in Geophysics: Present, Future, and Applications, Valparaíso, Chile

2021
- Title: Projection in negative norms and the regularization of rough linear functionals.
Venue: 8th European Congress of Mathematics (8ECM). Online
- Title: Residual minimization for goal-oriented adaptivity.
Venue: SIAM Conference on Computational Sciences and Engineering (CSE21). Online
- Title: A superconvergent adaptive stabilized finite element method based on residual minimization.
Venue: MATHROCKS - HPC, Deep Learning, and Numerics in Geophysics. Bilbao, Spain

2020
- Title: Discontinuous Galerkin based residual minimization for goal-oriented adaptive mesh refinement.
Venue: Simulation and inversion methods in geophysics. Online

2019
- (Invited speaker) Title: Un método adaptativo estabilizado de elementos finitos basado en minimización residual.
Venue: XLV Semana de la matemática, PUCV. Valparaíso, Chile
- Title: Automatic variational stable finite element formulations.
Venue: Valparaiso’s Mathematics and its Applications Days (V-MAD 9). Valparaíso, Chile
- Title: Automatic variational stable finite element formulations: strong formulations.
Venue: Workshop on Numerical Analysis of Partial Differential Equations (WONAPDE 2019). Concepción, Chile

2018
- Title: A brief introduction to the numerical simulation of stochastic processes.
Venue: Summer school in complex systems, Instituto de Sistemas Complejos de Valparaíso (ISCV). Valparaíso, Chile

2017
- Title: An efficient 1.5D Galerkin method for geophysics.
Venue: Valparaiso’s Mathematics and its Applications Days (V-MAD 7). Valparaíso, Chile


Premios y Distinciones

  •   Beca de Magister de Gestion propia

    FONDECYT

    Chile, 2008

    Conicyt fellowship for master studies overseas

  •   Beca de estudios de doctorado en Chile

    FONDECYT

    Chile, 2012

    Conicyt fellowship for PhD studies in Chile


 

Article (15)

Quasi-optimal hp-finite element refinements towards singularities via deep neural network prediction
A study of efficient concurrent integration methods of B-Spline basis functions in IGA-FEM
Incompressible flow modeling using an adaptive stabilized finite element method based on residual minimization
Projection in negative norms and the regularization of rough linear functionals
A nonlinear weak constraint enforcement method for advection-dominated diffusion problems
Automatically adaptive stabilized finite elements and continuation analysis for compaction banding in geomaterials
Automatically adaptive, stabilized finite element method via residual minimization for heterogeneous, anisotropic advection-diffusion-reaction problems
DGIRM: Discontinuous Galerkin based isogeometric residual minimization for the Stokes problem
Goal-oriented adaptivity for a conforming residual minimization method in a dual discontinuous Galerkin norm
An adaptive stabilized conforming finite element method via residual minimization on dual discontinuous Galerkin norms
AN OPEN-SYSTEM APPROACH TO COMPLEX BIOLOGICAL NETWORKS
THE OUTGOING TIME-HARMONIC ELECTROMAGNETIC WAVE IN A HALF-SPACE WITH NON-ABSORBING IMPEDANCE BOUNDARY CONDITION
A Numerical 1.5D Method for the Rapid Simulation of Geophysical Resistivity Measurements
On an equivalent representation of the Greens function for the Helmholtz problem in a non-absorbing impedance half-plane
A quadrature-free method for simulation and inversion of 1.5D direct current (DC) borehole measurements

Proyecto (1)

Adaptive stabilized finite element methods for nonlinear and higher order problems
16
Sergio Rojas

Profesor Asociado

Pontificia Universidad Católica de Valparaíso

Valparaíso, Chile

6
Ignacio Muga

Profesor Titular

Instituto de Matemáticas

Pontificia Universidad Católica de Valparaíso

Valparaiso, Chile

2
Sergio Navarrete

Full Profesor

Ecología

Pontificia Universidad Católica de Chile

Las CRuces, Chile

1
Carlos Jerez

Dean, Full Professor

Faculty of Engineering and Sciences

Universidad Adolfo Ibánez

Santiago, Chile

1
Pablo Marquet

Full Professor

Ecology

PONTIFICIA UNIVERSIDAD CATÓLICA DE CHILE

Santiago, Chile