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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 - At present
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 - At present

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 - At present
member of the Graduated Committee PhD in Mathematical Engineering Other

Universidad de Concepcion

Concepción, Chile

2018 - At present
member of the CIRIC Committee Other

INRIA-Chile

Santiago, Chile

2012 - Not Available

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 ISI JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS (2024)
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)
Spatial variability of shear wave velocity: implications for the liquefaction response of a case study from the 2010 Maule Mw 8.8 Earthquake, Chile Nunez-Jara, S.; Montalva, G.; Pilz, M.; Miller, M.; Saldana, H.; Olivar-Castano, A.; Araya, R. Article ISI FRONTIERS IN EARTH SCIENCE (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)
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)