Jorge AGUAYO, Rodolfo ARAYA: A priori error estimates for a coseismic slip optimal control problem. Applied Numerical Mathematics, vol. 209, pp. 84-99, (2025).

Rodolfo ARAYA, Sylvain BARBOT, Valeria BECERRA-CARREñO, Nicole CATALAN, Jorge G. F. CREMPIEN, Joaquín JULVE, Marcos MORENO, Andres TASSARA: Recurrence time and size of Chilean earthquakes influenced by geological structure. Nature Geoscience, vol. 17, pp. 79-87, (2024).

Rodolfo ARAYA, Matthew MILLER, Gonzalo MONTALVA, Sebastián NúñEZ-JARA, Andrés OLIVAR-CASTAñO, Marco PILZ, Héctor SALDAñA: Spatial variability of shear wave velocity: implications for the liquefaction response of a case study from the 2010 Maule Mw 8.8 Earthquake, Chile. Frontiers in Earth Science, vol. 12, Paper No. 1354058, (2024).

Rodolfo ARAYA, Sebastián BARRA, Jonathan BEDFORD, Roberto BENAVENTE, Ignacia CALISTO, Marcos MORENO, Francisco ORTEGA-CULACIATI: A supervised machine learning approach for estimating plate interface locking: Application to Central Chile. Physics of the Earth and Planetary Interiors, vol. 352, Paper No. 107207, (2024).

Rodolfo ARAYA, Alfonso CAIAZZO, Franz CHOULY: Stokes problem with slip boundary conditions using stabilized finite elements combined with Nitsche. Computer Methods in Applied Mechanics and Engineering, vol. 427, Paper No. 117037, (2024).

Rodolfo ARAYA, Fabrice JAILLET, Diego PAREDES, Frederic VALENTIN: Generalizing the multiscale hybrid-mixed method for reactive-advective-diffusive equations. Computer Methods in Applied Mechanics and Engineering, vol. 428, Paper No. 117089, (2024).

Rodolfo ARAYA, Cristian CáRCAMO, Abner POZA, Eduardo VINO: An adaptive stabilized finite element method for the Stokes-Darcy coupled problem. Journal of Computational and Applied Mathematics, vol. 443, Paper No. 115753, (2024).

Rodolfo ARAYA, Juan BAEZ, Roberto BENAVENTE, Jan BOLTE, Diego GONZáLEZ-VIDAL, Benjamín HEIT, Joaquín HORMAZABAL, Dietrich LANGE, Michael LANGLAIS, Daniel MELNICK, Catalina MORALES-YAñEZ, Marcos MORENO, Jannes MUNCHMEYER, Francisco ORTEGA-CULACIATI, Christian SIPPL, Anne SOCQUET, Frederik TILMANN: Relation Between Oceanic Plate Structure, Patterns of Interplate Locking and Microseismicity in the 1922 Atacama Seismic Gap. Geophysical Research Letters, vol. 50 (15), article: e2023GL103565, (2023).

Rodolfo ARAYA, Cristian CáRCAMO, Abner POZA: A stabilized finite element method for the Stokes–Temperature coupled problem. Applied Numerical Mathematics, vol. 187, pp. 24-49, (2023).

Rodolfo ARAYA, Franz CHOULY: Residual a posteriori error estimation for frictional contact with Nitsche method. Journal of Scientific Computing, vol. 96, 3, article: 87, (2023).

Rodolfo ARAYA, Cristóbal BERTOGLIO, Cristian CáRCAMO, Sergio URIBE: Convergence analysis of pressure reconstruction methods from discrete velocities. ESAIM: Mathematical Modelling and Numerical Analysis, vol. 57, 3, pp. 1839-1861, (2023).

Rodolfo ARAYA, Cristian CáRCAMO, Abner POZA: An adaptive stabilized finite element method for the Darcy’s equations with pressure dependent viscosities. Computer Methods in Applied Mechanics and Engineering, vol. 387, Paper no. 114100, (2021).

Rodolfo ARAYA, Cristian CáRCAMO, Abner POZA, Frederic VALENTIN: An adaptative multiscale hybrid-mixed method for the Oseen equations. Advances in Computational Mathematics, vol. 47, no. 1, Paper no. 15, (2021).

Rodolfo ARAYA, Ramiro REBOLLEDO, Frederic VALENTIN: On a multiscale a posteriori error estimator for the Stokes and Brinkman equations. IMA Journal of Numerical Analysis, vol. 41, 1, pp. 344-380, (2021).

Jorge AGUAYO, Rodolfo ARAYA, Santiago MUñOZ: An adaptive stabilized method for advection-diffusion-reaction equation. Journal of Computational and Applied Mathematics, vol. 376, Art. Num. 112858, (2020).

Rodolfo ARAYA, Rodolfo RODRíGUEZ, Pablo VENEGAS: Numerical analysis of a time-domain elastoacoustic problem. IMA Journal of Numerical Analysis, vol. 40, 2, pp. 1112-1153, (2020).

Rodolfo ARAYA, Manuel SOLANO, Patrick VEGA: A posteriori error analysis of an HDG method for the Oseen problem. Applied Numerical Mathematics, vol. 146, pp. 291-308, (2019).

Rodolfo ARAYA, Manuel SOLANO, Patrick VEGA: Analysis of an adaptive HDG method for the Brinkman problem. IMA Journal of Numerical Analysis, vol. 39, 3, pp. 1502-1528, (2019).

Rodolfo ARAYA, Ramiro REBOLLEDO: An a posteriori error estimator for a LPS method for Navier-Stokes equations. Applied Numerical Mathematics, vol. 127, pp. 179-195, (2018).

Rodolfo ARAYA, Klaus BATAILLE, Nicole CATALAN: Depth-dependent geometry of the Liquine-Ofqui fault zone and its relation to paths of slab-derived fluids. Geophysical Research Letters, vol. 44, 21, pp. 10916-10920, (2017).

Rodolfo ARAYA, Christopher HARDER, Abner POZA, Frederic VALENTIN: Multiscale hybrid-mixed method for the Stokes and Brinkman equations - The method. Computer Methods in Applied Mechanics and Engineering, vol. 324, pp. 29-53, (2017).

Rodolfo ARAYA, Klaus BATAILLE, Nicole CATALAN, Andres TASSARA: Depth-dependent geometry of margin-parallel strike-slip faults within oblique subduction zones. Andean Geology, vol. 44, 1, pp. 79-86, (2017).

Rodolfo ARAYA, Abner POZA, Frederic VALENTIN: A low-order local projection method for the incompressible Navier-Stokes equations in two and three dimensions. IMA Journal of Numerical Analysis, vol. 36, 1, pp. 267-295, (2016).

Rodolfo ARAYA, Nestor G. CERPA, Muriel GERBAULT, Riad HASSANI: Relationship between slab dip and topography segmentation in an oblique subduction zone: Insights from numerical modeling. Geophysical Research Letters, vol. 42, 14, pp. 5786-5795, (2015)

Rodolfo ARAYA, Abner POZA, Frederic VALENTIN: An adaptive residual local projection finite element method for the Navier-Stokes equations. Advances in Computational Mathematics, vol. 40, 5-6, pp. 1093-1119, (2014).

Rodolfo ARAYA, Pablo VENEGAS: An a posteriori error estimator for an unsteady advection-diffusion-reaction problem. Computers & Mathematics with Applications, vol. 66, 12, pp. 2456-2476, (2014).

Rodolfo ARAYA, Christopher HARDER, Diego PAREDES, Frederic VALENTIN: Multiscale hybrid-mixed method. SIAM Journal on Numerical Analysis, vol. 51, 6, pp. 3483-3504, (2013).

Rodolfo ARAYA, Gabriel R. BARRENECHEA, Abner POZA, Frederic VALENTIN: Convergence analysis of a residual local projection finite element method for the Navier-Stokes equations. SIAM Journal on Numerical Analysis, vol. 50, 2, pp. 669-699, (2012).

Rodolfo ARAYA, Abner POZA, Frederic VALENTIN: On a hierarchical error estimator combined with a stabilized method for the Navier–Stokes equations. Numerical Methods for Partial Differential Equations, vol. 28, 3, pp. 782–806, (2012).

Rodolfo ARAYA, Gabriel R. BARRENECHEA, Fabrice JAILLET, Rodolfo RODRíGUEZ: Finite-element analysis of a static fluid-structure interaction problem. IMA Journal of Numerical Analysis, vol. 31, 3, pp. 886−913, (2011).

Rodolfo ARAYA, Gabriel R. BARRENECHEA, Leopoldo FRANCA, Frederic VALENTIN: Stabilization arising from PGEM: A review and further developments. Applied Numerical Mathematics, vol. 59, 9, pp. 2065-2081, (2009)

Rodolfo ARAYA, Cristóbal BERTOGLIO, Cristian CÁRCAMO: Error analysis of pressure reconstruction from discrete velocities.

Rodolfo ARAYA, Abner POZA, Frederic VALENTIN: An adaptive residual local projection finite element method for the Navier-Stoker equations.

Rodolfo ARAYA, Pablo VENEGAS: An a posteriori error estimator for an unsteady advection-diffusion problem.

Rodolfo ARAYA, Fabrice JAILLET, Diego PAREDES, Frederic VALENTIN: Generalizing the Multiscale Hybrid-Mixed Method for Reactive-Advective-Diffusive Equations.

Rodolfo ARAYA, Alfonso CAIAZZO, Franz CHOULY: Stokes problem with slip boundary conditions using stabilized finite elements combined with Nitsche.

Rodolfo ARAYA, Franz CHOULY: Residual a posteriori error estimation for frictional contact with Nitsche method.

Rodolfo ARAYA, Cristian CÁRCAMO, Abner POZA: A stabilized finite element method for the Stokes–Temperature coupled problem.

Rodolfo ARAYA, Cristian CÁRCAMO, Abner POZA, Eduardo VINO: An adaptive stabilized finite element method for the Stokes-Darcy coupled problem.

Rodolfo ARAYA, Cristian CÁRCAMO, Abner POZA: An adaptive stabilized finite element method for the Darcy’s equations with pressure dependent viscosities.

Rodolfo ARAYA, Cristian CÁRCAMO, Abner POZA, Frederic VALENTIN: An adaptative multiscale hybrid-mixed method for the Oseen equations.

Rodolfo ARAYA, Ramiro REBOLLEDO, Frederic VALENTIN: On a multiscale a posteriori error estimator for the Stokes and Brinkman equations.

Rodolfo ARAYA, Manuel SOLANO, Patrick VEGA: A posteriori error analysis of an HDG method for the Oseen problem.

Rodolfo ARAYA, Rodolfo RODRÍGUEZ, Pablo VENEGAS: Numerical analysis of a time-domain elastoacoustic problem.

Rodolfo ARAYA, Ramiro REBOLLEDO: An a posteriori error estimator for a LPS method for Navier-Stokes equations.

Rodolfo ARAYA, Manuel SOLANO, Patrick VEGA: Analysis of an adaptive HDG method for the Brinkman problem.

Rodolfo ARAYA, Christopher HARDER, Abner POZA, Frederic VALENTIN: Multiscale hybrid-mixed method for the Stokes and Brinkman equations - The method.

Rodolfo ARAYA, Abner POZA, Frederic VALENTIN: A low-order local projection method for the incompressible Navier-Stokes equations in two and three dimensions.

Rodolfo ARAYA, Christopher HARDER, Diego PAREDES, Frederic VALENTIN: Multiscale hybrid-mixed method.

Rodolfo ARAYA, Gabriel R. BARRENECHEA, Abner POZA, Frederic VALENTIN: Convergence analysis of a residual local projection finite element method for the Navier-Stokes equations.

Rodolfo ARAYA, Abner POZA, Frederic VALENTIN: On a hierarchical estimator driven by a stabilized method for the reactive incompressible Navier-Stokes equations.

Rodolfo ARAYA [P]: The Mixed Hybrid Multiscale method: Extensions.

Manuel SOLANO [P], Rodolfo ARAYA, Theophile CHAUMONT FRELET, Diego PAREDES, Abner POZA, Frederic VALENTIN, Patrick VEGA: Efficient Off-LIne numerical Strategies for multi-query problems (EOLIS).

Rodolfo ARAYA [P], Manuel SOLANO: PHOTOM-Photovoltaic Solar Devices in Multiscale Computational Simulations.

Rodolfo ARAYA [P]: Multiscale and Stabilized Finite Element Methods for CFD Problems.

Gabriel N. GATICA [P], Julio ARACENA, Rodolfo ARAYA, Fernando BETANCOURT, Raimund BÜRGER, Rommel BUSTINZA, Jessika CAMAÑO, Anahi GAJARDO, Luis F. GATICA, David MORA, Ricardo OYARZÚA, Rodolfo RODRÍGUEZ, Mauricio SEPÚLVEDA, Manuel SOLANO, Luis M. VILLADA: Centro de Modelamiento Matemático (CMM), Universidad de Chile.

Raimund BÜRGER [P], Rodolfo ARAYA, Fabián FLORES-BAZÁN, Gabriel N. GATICA, Rodolfo RODRÍGUEZ, Mauricio SEPÚLVEDA: Convenio de Desempeño de Internacionalización de Doctorados: Red Doctoral en Ciencias, Tecnología y Ambiente.

Raimund BÜRGER [P], Rodolfo ARAYA, Rommel BUSTINZA, Gabriel N. GATICA, Norbert HEUER, Carlos JEREZ-HANCKES, David MORA, Ricardo OYARZÚA, Rodolfo RODRÍGUEZ, Frank SANHUEZA, Mauricio SEPÚLVEDA: Anillo de Investigación en Análisis Numérico de Ecuaciones Diferenciales Parciales (ANANUM).

Rodolfo ARAYA [P]: New Adapted Finite Element Schemes for the Navier-Stokes Equations.

Rodolfo ARAYA [P]: Multiscale Adaptative Finite Element Methods Applied to Fluid Mechanics Equations.

Rodolfo ARAYA [P]: Convergenge Partitioning at the Southern Andes (COMPARSA): Numerical Modeling of Crustal Deformation.

Rodolfo ARAYA [P]: Multiscale Adaptive Finite Element Methods Applied to Fluid Mechanics Equations.

Raimund BÜRGER [P], Julio ARACENA, Rodolfo ARAYA, Fernando BETANCOURT, Rommel BUSTINZA, Fabián FLORES-BAZÁN, Anahi GAJARDO, Gabriel N. GATICA, Carlos M. MORA, Rodolfo RODRÍGUEZ, Mauricio SEPÚLVEDA, Manuel SOLANO: Centro de Modelamiento Matemático (CMM), Universidad de Chile.

Rodolfo ARAYA [P]: Multiscale Adaptive Finite Element Methods Applied to Fluid Mechanics Equations.