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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
1
Carlos Jerez

Dean, Full Professor

Faculty of Engineering and Sciences

Universidad Adolfo Ibánez

Santiago, 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
Pablo Marquet

Full Professor

Ecology

PONTIFICIA UNIVERSIDAD CATÓLICA DE CHILE

Santiago, Chile

16
Sergio Rojas

Profesor Asociado

Pontificia Universidad Católica de Valparaíso

Valparaíso, Chile