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Rodolfo Antonio Araya Duran

Full Professor

DEPARTAMENTO DE INGENIERIA MATEMATICA, UNIVERSIDAD DE CONCEPCION

Concepcion, Chile

Numerical Analysis of Partial Differential Equations

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

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

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

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.

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.

Outstanding Scientist

ILUSTRE MUNICIPALIDAD DE TALCAHUANO

Chile, 2007

Award given by the city of Talcahuano for an oustanding scientist


An adaptive stabilized finite element method for the Stokes–Darcy coupled problem Araya, Rodolfo; Carcamo, Cristian; Poza, Abner H.; Vino, Eduardo Article WOS JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS (2024)
A stabilized finite element method for the Stokes-Temperature coupled problem Araya, Rodolfo; Carcamo, Cristian; Poza, Abner H. Article ISI APPLIED NUMERICAL MATHEMATICS (2023)
Convergence analysis of pressure reconstruction methods from discrete velocities Araya, Rodolfo; Bertoglio, Cristobal; Carcamo, Cristian; Nolte, David; Uribe, Sergio Article ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE (2023)
Recurrence time and size of Chilean earthquakes influenced by geological structure Julve, Joaquin; Barbot, Sylvain; Moreno, Marcos; Tassara, Andres; Araya, Rodolfo; Catalan, Nicole; Crempien, Jorge G. F.; Becerra-Carreno, Valeria Article ISI NATURE GEOSCIENCE (2023)
Relation Between Oceanic Plate Structure, Patterns of Interplate Locking and Microseismicity in the 1922 Atacama Seismic Gap Gonzalez-Vidal, Diego; Moreno, Marcos; Sippl, Christian; Baez, Juan Carlos; Ortega-Culaciati, Francisco; Lange, Dietrich; Tilmann, Frederik; Socquet, Anne; Bolte, Jan; Hormazabal, Joaquin; Langlais, Mickael; Morales-Yanez, Catalina; Melnick, Daniel; Benavente, Roberto; Muenchmeyer, Jannes; Araya, Rodolfo; Heit, Benjamin Article ISI GEOPHYSICAL RESEARCH LETTERS (2023)
Residual a Posteriori Error Estimation for Frictional Contact with Nitsche Method Araya, Rodolfo; Chouly, Franz Article ISI JOURNAL OF SCIENTIFIC COMPUTING (2023)
An adaptive multiscale hybrid-mixed method for the Oseen equations Araya, Rodolfo; Carcamo, Cristian; Poza, Abner H.; Valentin, Frederic Article ISI ADVANCES IN COMPUTATIONAL MATHEMATICS (2021)
An adaptive stabilized finite element method for the Darcy's equations with pressure dependent viscosities Araya, Rodolfo; Carcamo, Cristian; Poza, Abner H. Article ISI COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2021)
On a multiscale a posteriori error estimator for the Stokes and Brinkman equations Araya, Rodolfo; Rebolledo, Ramiro; Valentin, Frederic Article ISI IMA JOURNAL OF NUMERICAL ANALYSIS (2021)
An adaptive stabilized method for advection–diffusion–reaction equation Araya R.; Aguayo J.; MuÃ±oz S. Article SCOPUS Journal of Computational and Applied Mathematics (2020)
Numerical analysis of a time domain elastoacoustic problem Araya, Rodolfo; Rodriguez, Rodolfo; Venegas, Pablo Article ISI IMA JOURNAL OF NUMERICAL ANALYSIS (2020)
Rainfall-induced landslide identification using numerical modelling: A southern Chile case Fustos, I.; Abarca-del-Rio, R.; Mardones, M.; Gonzalez, L.; Araya, L. R. Article ISI JOURNAL OF SOUTH AMERICAN EARTH SCIENCES (2020)
A posteriori error analysis of an HDG method for the Oseen problem Araya, Rodolfo; Solano, Manuel; Vega, Patrick Article ISI SCOPUS APPLIED NUMERICAL MATHEMATICS (2019)
Analysis of an adaptive HDG method for the Brinkman problem Araya, Rodolfo; Solano, Manuel; Vega, Patrick Article ISI IMA JOURNAL OF NUMERICAL ANALYSIS (2019)
An a posteriori error estimator for a LPS method for Navier-Stokes equations Araya, R; Rebolledo, R Article ISI SCOPUS APPLIED NUMERICAL MATHEMATICS (2018)
Depth-dependent geometry of margin-parallel strike-slip faults within oblique subduction zones Catalán Ormeño, Nicole Stephanie; Bataille, Klaus; Tassara, Andrés; Araya, Rodolfo Article SCOPUS Andean Geology (2017)
Depth-dependent geometry of margin-parallel strike-slip faults within oblique subduction zones Nicole Catalán, Klaus Bataille; Andrés Tassara, Rodolfo Araya Article Andean geology (2017)
Depth-Dependent Geometry of the Liquine-Ofqui Fault Zone and Its Relation to Paths of Slab-Derived Fluids Catalan, N; Bataille, K; Araya, R Article ISI SCOPUS Geophysical Research Letters (2017)
Multiscale hybrid-mixed method for the Stokes and Brinkman equations-The method Araya, Rodolfo; Harder, Christopher; Poza, Abner H.; Valentin, Frédéric Article ISI SCOPUS COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2017)
A low-order local projection method for the incompressible Navier-Stokes equations in two- and three-dimensions Araya, R; Poza A.H.; Valentin F. Article ISI SCOPUS IMA JOURNAL OF NUMERICAL ANALYSIS (2016)
A low-order Local Projection method for the incompressible Navier-Stokes equations in two- and three-dimensions Araya, Rodolfo; Poza, Abner; Valentin, Frederic Article IMA JOURNAL OF NUMERICAL ANALYSIS (2016)
Interseismic deformation at subduction zones investigated by 2D numerical modeling: case study before the 2010 Maule earthquake Marcelo Contreras; Andres Tassara; Muriel Gerbault; Rodolfo Araya; Klaus Bataille Article ISI SCIELO SCOPUS ANDEAN GEOLOGY (2016)
Relationship between slab dip and topography segmentation in an oblique subduction zone: Insights from numerical modeling Cerpa, NG; Araya, R; Gerbault, M.; Hassani, R Article ISI SCOPUS Geophysical Research Letters (2015)
An a posteriori error estimator for an unsteady advection-diffusion-reaction problem Araya, R; Venegas P. Article ISI SCOPUS COMPUTERS & MATHEMATICS WITH APPLICATIONS (2014)
An adaptive residual local projection finite element method for the Navier-Stokes equations Araya, R; Poza, AH; Valentin F. Article ISI SCOPUS ADVANCES IN COMPUTATIONAL MATHEMATICS (2014)
MULTISCALE HYBRID-MIXED METHOD Araya, R; Harder, C; Paredes, D; Valentin F. Article ISI SCOPUS SIAM JOURNAL ON NUMERICAL ANALYSIS (2013)
CONVERGENCE ANALYSIS OF A RESIDUAL LOCAL PROJECTION FINITE ELEMENT METHOD FOR THE NAVIER-STOKES EQUATIONS Araya, R; Barrenechea G.R.; Poza A.H.; Valentin F. Article ISI SCOPUS SIAM Journal on Numerical Analysis (2012)
On a hierarchical error estimator combined with a stabilized method for the Navier-Stokes equations Araya, R; Poza A.H.; Valentin F. Article ISI SCOPUS Numerical Methods for Partial Differential Equations (2012)
Finite-element analysis of a static fluid-solid interaction problem Araya, R; Barrenechea, GR; Jaillet F.; Rodriguez, R Article ISI SCOPUS IMA Journal of Numerical Analysis (2011)
Stabilization arising from PGEM: A review and further developments Araya, R; Barrenechea, GR; Franca, LP; Valentin F. Article ISI SCOPUS APPLIED NUMERICAL MATHEMATICS (2009)
An adaptive stabilized finite element method for the generalized Stokes problem Araya, R; Barrenechea, GR; Poza A Article ISI SCOPUS JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS (2008)
An adaptive stabilized finite element scheme for a water quality model Araya, R; Behrens, E.; Rodriguez, R Article ISI SCOPUS COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2007)
Error estimators for advection-reaction-diffusion equations based on the solution of local problems Araya, R; Behrens, E.; Rodriguez, R Article ISI SCOPUS JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS (2007)
Stabilized finite-element method for the Stokes problem including element and edge residuals Araya, R; Barrenechea, GR; Valentin F. Article ISI SCOPUS IMA JOURNAL OF NUMERICAL ANALYSIS (2007)
A posteriori error estimates for elliptic problems with Dirac delta source terms Araya, R; Behrens, E.; Rodriguez, R Article ISI SCOPUS NUMERISCHE MATHEMATIK (2006)
Stabilized finite element methods based on multiscale enrichment for the Stokes problem Araya, R; Barrenechea, GR; Valentin F. Article ISI SCOPUS SIAM JOURNAL ON NUMERICAL ANALYSIS (2006)
A hierarchical a posteriori error estimate for an advection-diffusion-reaction problem Araya, R; Poza, AH; Stephan, EP Article ISI SCOPUS MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES (2005)
A multiscale a posteriori error estimate Araya, R; Valentin F. Article ISI SCOPUS COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2005)
A POSTERIORI ERROR ANALYSIS AND AN ADAPTIVE STRATEGY FOR A GENERALIZED STOKES PROBLEM Araya, Rodolfo; Barrenechea, Gabriel; Poza, Abner Article Mecanica Computacional (2005)
An adaptive stabilized finite element scheme for the advection-reaction-diffusion equation Araya, R; Behrens, E.; Rodriguez, R Article ISI SCOPUS APPLIED NUMERICAL MATHEMATICS (2005)
The role of wave propagation in hydrocyclone operations I: An axisymmetric streamfunction formulation for a conical hydrocyclone Ovalle, E.; Araya, R; Concha, R Article ISI SCOPUS CHEMICAL ENGINEERING JOURNAL (2005)
A posteriori error estimates for a mixed-FEM formulation of a non-linear elliptic problem Araya, R; Barrios, TP; Gatica, GN; Heuer, N Article ISI SCOPUS COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2002)
HIERARCHICAL A POSTERIORI ERROR ESTIMATES FOR HETEROGENEOUS INCOMPRESSIBLE ELASTICITY Letallec, Patrick; Araya, Rodolfo Article COMPUTATIONAL FLUID AND SOLID MECHANICS (PRINT) (2001)
Boundary-field equation method for a nonlinear exterior elasticity problem in the plane Araya Rodolfo A.; Gatica, Gabriel N; Mennickent Hubert Article Journal of Elasticity (1996)
A NEW NONCONFORMING GALERKIN SCHEME FOR THE STOKES PROBLEM - PARTIALLY CIRCUMVENTING THE DISCRETE BABUSKA-BREZZI CONDITION ARAYA, RA; GATICA, GN Article ISI COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (1993)


Stabilizing the P-1/P-0 element for the stokes problem via multiscale enrichment Araya, R; Barrenechea, GR; Valentin F. ConferencePaper ISI Numerical Mathematics and Advanced Applications (2006)


EOLIS – Efficient Off-LIne numerical Strategies for multi-query problems Solano M.; Araya, R Proyecto (2021)
The Mixed Hybrid Multiscale method: Extensions Araya, R; Poza A Proyecto (2021)
Toward understanding transient-to-precursory earthquake deformation in Chile Moreno, Marco; Araya, R Proyecto (2020)
Multiscale and stabilized finite element methods for CFD problems FONDECYT (1150174) Proyecto 2015-2018 Inv. Principal
Numerical implementation of coupled fluid-solid mechanical methods for the modelling of sismo-volcanic systems along the Chilean margin PCI (C13U03) Proyecto 2014-2016 Director(a)
Anillo de Investigacion en Análisis Numérico de Ecuaciones Diferenciales Parciales (ANANUM) PIA (ACT 1118) Proyecto 2013-2016 Investigador(a)
NEW ADAPTED FINITE ELEMENT SCHEMES FOR THE NAVIER-STOKES EQUATIONS FONDECYT (1110551) Proyecto 2011-2014 Inv. Principal
CONVERGENCE PARTITIONING AT THE SOUTHERN ANDES (CONPARSA)=> NUMERICAL MODELING OF CRUSTAL DEFORMATION FONDECYT (1101034) Proyecto 2010-2013 Coinvestigador(a)
PLOMO=> Plateforme LOgicielle commune de construction de MOdèles physiques des tissus mous PCI (TICAMSUD07) Proyecto 2008-2009 Investigador(a)
CENTRO DE MODELAMIENTO MATEMÁTICO (CMM) PIA (PFB03) Proyecto 2007-2012 Investigador(a)
MULTISCALE ADAPTATIVE FINITE ELEMENT METHODS APPLIED TO FLUID MECHANICS EQUATIONS FONDECYT (1070698) Proyecto 2007-2010 Inv. Principal
Neurocirugía asistida por computador=> modelamiento biomecánico de los tejidos blandos cerebrales PCI (C06E04) Proyecto 2007-2008 Investigador(a)
Métodos estabilizados y multiescalas para problemas en mecánica de fluidos PCI (2005-073) Proyecto 2006-2007 Investigador(a)
A POSTERIORI ERROR ESTIMATES FOR SOME CFD PROBLEMS FONDECYT (1040595) Proyecto 2004-2007 Inv. Principal
Desarrollo de nuevos métodos de elementos finitos enriquecidos y estabilizados y estimadores a posteriori aplicados al modelamiento ambiental PCI (2003-4-173) Proyecto 2004-2005 Investigador(a)
Development of a river water quality model for the assessment of wastewater and flow modifications effects FONDEF (D001135) Proyecto 2001-2004 Investigador(a)
SOME A POSTERIORI ERROR ESTIMATORS FOR LINEAR AND NONLINEAR PROBLEMS IN ELASTICITY FONDECYT (1010215) Proyecto 2001-2003 Inv. Principal
CENTRO DE MODELAMIENTO MATEMÁTICO (CMM) PIA (15000001) Proyecto 2000-2010 Investigador(a)