Man

Rodolfo Antonio Araya Duran

Full Professor

DEPARTAMENTO DE INGENIERIA MATEMATICA, UNIVERSIDAD DE CONCEPCION

Concepcion, Chile

Líneas de Investigación


Numerical Analysis of Partial Differential Equations

Educación

  •  Mathematics, UNIVERSITE PIERRE ET MARIE CURIE-PARIS VI. Francia, 2000

Experiencia Académica

  •   Full Professor Full Time

    UNIVERSIDAD DE CONCEPCION

    Physical and Mathematical Sciences

    Concepcion, Chile

    1994 - A la fecha

  •   Decano Full Time

    UNIVERSIDAD DE CONCEPCION

    Ciencias Fisicas y Matematicas

    Concepcion, Chile

    2006 - 2015

  •   Director Centro de Investigacion en Ingenieria Matematica Part Time

    UNIVERSIDAD DE CONCEPCION

    Concepcion, Chile

    2020 - A la fecha

Experiencia Profesional

  •   member of the Consejo Directivo de la Iniciativa Científica Milenio Other

    Ministerio de Economia

    Santiago, Chile

    2016 - 2020

  •   member of the Graduated Committee MSc in Geophysics Other

    Universidad de Concepcion

    Concepción, Chile

    2019 - A la fecha

  •   member of the Graduated Committee PhD in Mathematical Engineering Other

    Universidad de Concepcion

    Concepción, Chile

    2018 - A la fecha

  •   member of the CIRIC Committee Other

    INRIA-Chile

    Santiago, Chile

    2012 - Sin Información

Formación de Capital Humano


Undergraduated students:

• Ivan Navarrete. Degree Thesis in Mathematical Engineering. Universidad de Concepción, Chile. 2020 (work in progress).
• Jorge Aguayo. Degree Thesis in Mathematical Engineering. Universidad de Concepción, Chile. 2015.
• Cinthya Rivas. Degree Thesis in Mathematical Engineering. Universidad de Concepción, Chile. 2014.
• Roberto Molina. Degree Thesis in Mathematical Engineering. Universidad de Concepción, Chile. 2012.
• Pablo Venegas. Degree Thesis in Mathematical Engineering. Universidad de Concepción, Chile. 2008.
• Abner Poza. Degree Thesis in Mathematical Engineering. Universidad de Concepción, Chile. 2005.
• Richard Aguilera. Degree Thesis in Mathematical Engineering. Universidad de La Frontera, Chile. 2004.
• Pablo Durán. Degree Thesis in Mathematical Engineering. Universidad de Concepción, Chile. 2003.

Graduated students:

• Cristian Cárcamo. PhD Thesis in Mathematics. Universidad de Concepción, Chile. 2017 (work in progress).
• Ramiro Rebolledo. PhD Thesis in Mathematics. Universidad de Concepción, Chile. 2016.
• Patrick Vega. PhD Thesis in Mathematics. Universidad de Concepción, Chile. 2015.
• Abner Poza. PhD Thesis in Mathematics. Universidad de Concepción, Chile. 2011.
• Edwin Behrens. PhD Thesis in Mathematics. Universidad de Concepción, Chile. 2006.


Difusión y Transferencia


Short Term Visiting Positions:

• Department of Mathematics and Statistics, University of Strathclyde, Glasgow, Scotland. July 2019.
• Laboratório Nacional de Computaçao Científica, Petrópolis, Brazil, October 2018.
• Laboratório Nacional de Computaçao Científica, Petrópolis, Brazil, October 2017.
• INRIA, Paris, France, April - July 2016.
• Laboratório Nacional de Computaçao Científica, Petrópolis, Brazil, March 2016.
• Laboratório Nacional de Computaçao Científica, Petrópolis, Brazil, November-December 2015.
• INRIA, Rocquencourt, France, March 2015.
• INRIA Sophia Antipolis, Nice, France, July 2014.
• Laboratoire GEOAZUR, Nice, France, July 2014.
• Laboratoire GEOAZUR, Nice, France, April 2013.
• Laboratório Nacional de Computaçao Científica, Petrópolis, Brazil, June-July 2012.
• Laboratório Nacional de Computaçao Científica, Petrópolis, Brazil, November-December 2011.
• Laboratório Nacional de Computaçao Científica, Petrópolis, Brazil, November-December 2010.
• Laboratório Nacional de Computaçao Científica, Petrópolis, Brazil, October-November 2009.
• Laboratório Nacional de Computaçao Científica, Petrópolis, Brazil, August 2008.
• Laboratório Nacional de Computaçao Científica, Petrópolis, Brazil, January-February 2008.
• Laboratório Nacional de Computaçao Científica, Petrópolis, Brazil, October 2007.
• Laboratório Nacional de Computaçao Científica, Petrópolis, Brazil, September 2006.
• Department of Mathematics, University of Colorado, Denver, USA, November- December 2005.
• Laboratório Nacional de Computaçao Científica, Petrópolis, Brazil, January 2005.
• Laboratório Nacional de Computaçao Científica, Petrópolis, Brazil, August 2004.
• Institute for Applied Mathematics, University of Hannover, Hannover, Germany, January 2003.
• Laboratório Nacional de Computaçao Científica, Petrópolis, Brazil, November-December 2002.
• Institute National de Recherche en Informatique et en Automatique (INRIA), Roquencourt, France, July 2001.
• Institute for Applied Mathematics, University of Hannover, Germany, June 2001.
• Institute for Applied Mathematics, University of Hannover, Germany, November 2000.

International cooperation projects:

• EOLIS – Efficient Off-LIne numerical Strategies for multi-query problems. MATHAMSUD 18-MATH-06. Researcher. Supported by Agencia Nacional de Investigación y Desarrollo (ANID), Chile. 2020-2022.
• PHOTOM – PHOTOvoltaic solar devices in Multiscale computational simulations. Researcher. MATHAMSUD 18-MATH-06. Supported by Comisión Nacional de Investigación Científica y Tecnológica (CONICYT), Chile 2018-2019.
• Numerical implementation of coupled fluid-solid mechanical methods for the modelling of sismo-volcanic systems along the Chilean margin, ECOS-CONICYT C13U03. Researcher. Supported by Comisión Nacional de Investigación Científica y Tecnológica (CONICYT), Chile. 2014-2016.
• PLOMO: Plateforme LOgicielle commune de construction de MOdèles physiques des tissus mous. Associate Researcher. Regional Program STIC-Amsud. Supported by Comisión Nacional de Investigación Científica y Tecnológica (CONICYT), Chile. 2008-2009.
• Neurocirugía asistida por computador: modelamiento biomecánico de los tejidos blandos cerebrales. Associate Researcher. ECOS-CONICYT, Nº C06E04. Supported by Comisión Nacional de Investigación Científica y Tecnológica (CONICYT), Chile. 2007-2008.
• Métodos estabilizados y multiescalas para problemas en mecánica de fluidos. Associate Researcher. CNPq-CONICYT 2005-073. Supported by Comisión Nacional de Investigación Científica y Tecnológica (CONICYT), Chile. 2006-2007.
• Desarrollo de nuevos métodos de elementos finitos enriquecidos y estabilizados y estimadores a posteriori aplicados al modelamiento ambiental. Associate Researcher. CNPq-CONICYT 2003-4-173. Supported by Comisión Nacional de Investigación Científica y Tecnológica (CONICYT), Chile, and Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq), Brazil. 2004-2005.


Premios y Distinciones

  •   Outstanding Scientist

    ILUSTRE MUNICIPALIDAD DE TALCAHUANO

    Chile, 2007

    Award given by the city of Talcahuano for an oustanding scientist


 

Article (38)

An adaptive multiscale hybrid-mixed method for the Oseen equations
An adaptive stabilized method for advection–diffusion–reaction equation
Numerical analysis of a time domain elastoacoustic problem
Rainfall-induced landslide identification using numerical modelling: A southern Chile case
A posteriori error analysis of an HDG method for the Oseen problem
Analysis of an adaptive HDG method for the Brinkman problem
On a multiscale a posteriori error estimator for the stokes and Brinkman equations
An a posteriori error estimator for a LPS method for Navier-Stokes equations
Depth-dependent geometry of margin-parallel strike-slip faults within oblique subduction zones
Depth-dependent geometry of margin-parallel strike-slip faults within oblique subduction zones
Depth-Dependent Geometry of the Liquine-Ofqui Fault Zone and Its Relation to Paths of Slab-Derived Fluids
Multiscale hybrid-mixed method for the Stokes and Brinkman equations-The method
A low-order local projection method for the incompressible Navier-Stokes equations in two- and three-dimensions
A low-order Local Projection method for the incompressible Navier-Stokes equations in two- and three-dimensions
Interseismic deformation at subduction zones investigated by 2D numerical modeling: case study before the 2010 Maule earthquake
Relationship between slab dip and topography segmentation in an oblique subduction zone: Insights from numerical modeling
An a posteriori error estimator for an unsteady advection-diffusion-reaction problem
An adaptive residual local projection finite element method for the Navier-Stokes equations
MULTISCALE HYBRID-MIXED METHOD
CONVERGENCE ANALYSIS OF A RESIDUAL LOCAL PROJECTION FINITE ELEMENT METHOD FOR THE NAVIER-STOKES EQUATIONS
On a hierarchical error estimator combined with a stabilized method for the Navier-Stokes equations
Finite-element analysis of a static fluid-solid interaction problem
Stabilization arising from PGEM: A review and further developments
An adaptive stabilized finite element method for the generalized Stokes problem
An adaptive stabilized finite element scheme for a water quality model
Error estimators for advection-reaction-diffusion equations based on the solution of local problems
Stabilized finite-element method for the Stokes problem including element and edge residuals
A posteriori error estimates for elliptic problems with Dirac delta source terms
Stabilized finite element methods based on multiscale enrichment for the Stokes problem
A hierarchical a posteriori error estimate for an advection-diffusion-reaction problem
A multiscale a posteriori error estimate
A POSTERIORI ERROR ANALYSIS AND AN ADAPTIVE STRATEGY FOR A GENERALIZED STOKES PROBLEM
An adaptive stabilized finite element scheme for the advection-reaction-diffusion equation
The role of wave propagation in hydrocyclone operations I: An axisymmetric streamfunction formulation for a conical hydrocyclone
A posteriori error estimates for a mixed-FEM formulation of a non-linear elliptic problem
HIERARCHICAL A POSTERIORI ERROR ESTIMATES FOR HETEROGENEOUS INCOMPRESSIBLE ELASTICITY
Boundary-field equation method for a nonlinear exterior elasticity problem in the plane
A NEW NONCONFORMING GALERKIN SCHEME FOR THE STOKES PROBLEM - PARTIALLY CIRCUMVENTING THE DISCRETE BABUSKA-BREZZI CONDITION

ConferencePaper (1)

Stabilizing the P-1/P-0 element for the stokes problem via multiscale enrichment

Proyecto (18)

EOLIS – Efficient Off-LIne numerical Strategies for multi-query problems
The Mixed Hybrid Multiscale method: Extensions
Toward understanding transient-to-precursory earthquake deformation in Chile
Multiscale and stabilized finite element methods for CFD problems
Numerical implementation of coupled fluid-solid mechanical methods for the modelling of sismo-volcanic systems along the Chilean margin
Anillo de Investigacion en Análisis Numérico de Ecuaciones Diferenciales Parciales (ANANUM)
NEW ADAPTED FINITE ELEMENT SCHEMES FOR THE NAVIER-STOKES EQUATIONS
CONVERGENCE PARTITIONING AT THE SOUTHERN ANDES (CONPARSA)=> NUMERICAL MODELING OF CRUSTAL DEFORMATION
PLOMO=> Plateforme LOgicielle commune de construction de MOdèles physiques des tissus mous
CENTRO DE MODELAMIENTO MATEMÁTICO (CMM)
MULTISCALE ADAPTATIVE FINITE ELEMENT METHODS APPLIED TO FLUID MECHANICS EQUATIONS
Neurocirugía asistida por computador=> modelamiento biomecánico de los tejidos blandos cerebrales
Métodos estabilizados y multiescalas para problemas en mecánica de fluidos
A POSTERIORI ERROR ESTIMATES FOR SOME CFD PROBLEMS
Desarrollo de nuevos métodos de elementos finitos enriquecidos y estabilizados y estimadores a posteriori aplicados al modelamiento ambiental
Development of a river water quality model for the assessment of wastewater and flow modifications effects
SOME A POSTERIORI ERROR ESTIMATORS FOR LINEAR AND NONLINEAR PROBLEMS IN ELASTICITY
CENTRO DE MODELAMIENTO MATEMÁTICO (CMM)
42
Rodolfo Araya

Full Professor

Mathematical Engineering

DEPARTAMENTO DE INGENIERIA MATEMATICA, UNIVERSIDAD DE CONCEPCION

Concepcion, Chile

8
Abner Poza

Profesor Asistente

Departamento de Matemática y Física Aplicadas

Universidad Católica de la Santísima Concepción

Concepción, Chile

6
Rodolfo Rodriguez

Full Professor

Ingeniería Matemática

UNIVERSIDAD DE CONCEPCION

Concepción, Chile

2
Manuel Solano

Associate Professor

Ingeniería Matemática

Universidad de Concepción

Concepcion, Chile

2
Klaus Bataille

Profesor

Ciencias de la Tierra

UNIVERSIDAD DE CONCEPCION

Concepcion, Chile

2
Pablo Venegas

Profesor Asistente

Departamento de Matemática

UNIVERSIDAD DEL BIO-BIO

Concepcion, Chile

1
Natalia Catalán

Investigador

INTA

Universidad de Chile

Santiago, Chile

1
Diego Paredes

associate professor

Facultad de Ciencias

Pontificia Universidad Catolica de Valparaiso

Valparaiso, 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