Papers in Scientific Journals
The following is the list of publications in scientific journals of the Center for Research in Mathematical Engineering, ordered by year of occurrence, since 2009, date of creation of this center. When you click on the name of a certain author, all their publications available in this database are displayed together with a link to their list of publications in the AMS MathScinet database.
Publications of Ricardo OYARZÚA |
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| Number | Authors, Title and Details | DOI Link |
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| 2025-11 | Jessika CAMAÑO, Ricardo OYARZÚA, Miguel SERÓN, Manuel SOLANO: A strong mass conservative finite element method for the Navier–Stokes/Darcy coupled system. Applied Mathematics Letters, vol. 163, Paper No. 109447, (2025). |
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| 2025-04 | Isaac BERMUDEZ, Jessika CAMAÑO, Ricardo OYARZÚA, Manuel SOLANO: A conforming mixed finite element method for a coupled Navier–Stokes/transport system modelling reverse osmosis processes. Computer Methods in Applied Mechanics and Engineering, vol. 433, Parte A, 1, Paper No. 117527, (2025). |
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| 2022-41 | Eligio COLMENARES, Ricardo OYARZÚA, Francisco PIÑA: A discontinuous Galerkin method for the stationary Boussinesq system. Computational Methods in Applied Mathematics, vol. 22, 4, pp. 797-820, (2022). |
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| 2022-37 | Sergio CAUCAO, Ricardo OYARZÚA, Segundo VILLA-FUENTES: A posteriori error analysis of a momentum and thermal energy conservative mixed-FEM for the Boussinesq equations. Calcolo, vol. 59, 4, article: 45, (2022). |
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| 2022-35 | Jessika CAMAÑO, Carlos GARCIA, Ricardo OYARZÚA: Analysis of a new mixed-FEM for stationary incompressible magneto-hydrodynamics. Computers & Mathematics with Applications, vol. 127, pp. 65-79, (2022). |
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| 2022-31 | Sergio CAUCAO, Gabriel N. GATICA, Ricardo OYARZÚA, Paulo ZUÑIGA: A posteriori error analysis of a mixed finite element method for the coupled Brinkman--Forchheimer and double-diffusion equations. Journal of Scientific Computing, vol. 93, 2, article: 50, (2022). |
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| 2022-19 | Sergio CAUCAO, Ricardo OYARZÚA, Segundo VILLA-FUENTES, Ivan YOTOV: A three-field Banach spaces-based mixed formulation for the unsteady Brinkman-Forchheimer equations. Computer Methods in Applied Mechanics and Engineering, vol. 394, Paper No. 114895, (2022). |
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| 2022-18 | Jessika CAMAÑO, Sergio CAUCAO, Ricardo OYARZÚA, Segundo VILLA-FUENTES: A posteriori error analysis of a momentum conservative Banach-spaces based mixed-FEM for the Navier-Stokes problem. Applied Numerical Mathematics, vol. 176, pp. 134-158, (2022). |
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| 2022-13 | Ricardo OYARZÚA, Manuel SOLANO, Paulo ZUÑIGA: Analysis of an unfitted mixed finite element method for a class of quasi-Newtonian Stokes flow. Computers & Mathematics with Applications, vol. 114, pp. 225-243, (2022). |
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| 2021-30 | Jessika CAMAÑO, Carlos GARCIA, Ricardo OYARZÚA: Analysis of a momentum conservative mixed-FEM for the stationary Navier-Stokes problem. Numerical Methods for Partial Differential Equations, vol. 37, 5, pp. 2895-2923, (2021). |
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| 2021-17 | Sergio CAUCAO, Gabriel N. GATICA, Ricardo OYARZÚA, Felipe SANDOVAL: Residual-based a posteriori error analysis for the coupling of the Navier-Stokes and Darcy-Forchheimer equations. ESAIM: Mathematical Modelling and Numerical Analysis, vol. 55, 2, pp. 659-687, (2021). |
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| 2021-10 | Ricardo OYARZÚA, Sander RHEBERGEN, Manuel SOLANO, Paulo ZUÑIGA: Error analysis of a conforming and locking-free four-field formulation for the stationary Biot’s model. ESAIM: Mathematical Modelling and Numerical Analysis, vol 55, pp. S475-S506, (2021). |
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| 2021-06 | Gabriel N. GATICA, Ricardo OYARZÚA, Ricardo RUIZ-BAIER, Yuri D. SOBRAL: Banach spaces-based analysis of a fully-mixed finite element method for the steady-state model of fluidized beds. Computers & Mathematics with Applications, vol. 84, pp. 244-276, (2021). |
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| 2021-02 | Patrick E. FARRELL, Luis F. GATICA, Bishnu LAMICHHANE, Ricardo OYARZÚA, Ricardo RUIZ-BAIER: Mixed Kirchhoff stress - displacement - pressure formulations for incompressible hyperelasticity. Computer Methods in Applied Mechanics and Engineering, vol. 374, Art. Num. 113562, (2021). |
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| 2020-54 | Sergio CAUCAO, Gabriel N. GATICA, Ricardo OYARZÚA, Nestor SÁNCHEZ: A fully-mixed formulation for the steady double-diffusive convection system based upon Brinkman-Forchheimer equations. Journal of Scientific Computing, vol. 85, 2, article: 44, (2020). |
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| 2020-53 | Sergio CAUCAO, Ricardo OYARZÚA, Segundo VILLA-FUENTES: A new mixed-FEM for steady-state natural convection models allowing conservation of momentum and thermal energy. Calcolo, vol. 57, 4, article:36, (2020). |
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| 2020-51 | Ricardo OYARZÚA, Miguel SERÓN: A divergence-conforming DG-mixed finite element method for the stationary Boussinesq problem. Journal of Scientific Computing, vol. 85, 1, 14, (2020). |
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| 2020-47 | Gabriel N. GATICA, Ricardo OYARZÚA, Nathalie VALENZUELA: A five-field augmented fully-mixed finite element method for the Navier-Stokes/Darcy coupled problem. Computers & Mathematics with Applications, vol. 80, 8, pp. 1944-1963, (2020). |
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| 2020-42 | Sergio CAUCAO, Marco DISCACCIATI, Gabriel N. GATICA, Ricardo OYARZÚA: A conforming mixed finite element method for the Navier-Stokes/Darcy-Forchheimer coupled problem. ESAIM: Mathematical Modelling and Numerical Analysis, vol. 54, 5, pp. 1689-1723, (2020). |
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| 2020-29 | Javier A. ALMONACID, Gabriel N. GATICA, Ricardo OYARZÚA, Ricardo RUIZ-BAIER: A new mixed finite element method for the n-dimensional Boussinesq problem with temperature-dependent viscosity. Networks and Heterogeneous Media, vol. 15, 2, pp. 215-245, (2020). |
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| 2020-11 | Sarvesh KUMAR, Ricardo OYARZÚA, Ricardo RUIZ-BAIER, Ruchi SANDILYA: Conservative discontinuous finite volume and mixed schemes for a new four-field formulation in poroelasticity. ESAIM: Mathematical Modelling and Numerical Analysis, vol. 54, 1, pp. 273-300, (2020). |
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| 2020-04 | Ricardo OYARZÚA, Manuel SOLANO, Paulo ZUÑIGA: A priori and a posteriori error analyses of a high order unfitted mixed-FEM for Stokes flow. Computer Methods in Applied Mechanics and Engineering, vol. 360, 1, Art. Num. 112780, (2020). |
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| 2019-19 | Ricardo OYARZÚA, Manuel SOLANO, Paulo ZUÑIGA: A high order mixed-FEM for diffusion problems on curved domains. Journal of Scientific Computing, vol. 79, 1, pp. 49-78, (2019). |
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| 2019-15 | Javier A. ALMONACID, Gabriel N. GATICA, Ricardo OYARZÚA: A posteriori error analysis of a mixed-primal finite element method for the Boussinesq problem with temperature-dependant viscosity. Journal of Scientific Computing, vol. 78, 2, pp. 887-917, (2019). |
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| 2019-12 | Eligio COLMENARES, Gabriel N. GATICA, Ricardo OYARZÚA: A posteriori error analysis of an augmented fully-mixed formulation for the stationary Boussinesq model. Computers & Mathematics with Applications, vol. 77, 3, pp. 693-714, (2019). |
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| 2019-09 | Sergio CAUCAO, Gabriel N. GATICA, Ricardo OYARZÚA: A posteriori error analysis of an augmented fully-mixed formulation for the non-isothermal Oldroyd-Stokes problem. Numerical Methods for Partial Differential Equations, vol. 35, 1, pp. 295-324, (2019). |
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| 2018-35 | Sergio CAUCAO, Gabriel N. GATICA, Ricardo OYARZÚA: Analysis of an augmented fully-mixed formulation for the coupling of the Stokes and heat equations. Mathematical Modelling and Numerical Analysis, vol. 52, 5, pp. 1947-1980, (2018). |
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| 2018-26 | Javier A. ALMONACID, Gabriel N. GATICA, Ricardo OYARZÚA: A mixed-primal finite element method for the Boussinesq problem with temperature-dependent viscosity. Calcolo, vol. 55, 3, article:36, (2018) |
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| 2018-23 | Jessika CAMAÑO, Ricardo OYARZÚA, Ricardo RUIZ-BAIER, Giordano TIERRA: Error analysis of an augmented mixed method for the Navier-Stokes problem with mixed boundary conditions. IMA Journal of Numerical Analysis, vol. 38, 3, pp. 1452-1484, (2018). |
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| 2018-13 | Luis F. GATICA, Ricardo OYARZÚA, Nestor SÁNCHEZ: A priori and a posteriori error analysis of an augmented mixed-FEM for the Navier-Stokes-Brinkman problem. Computers & Mathematics with Applications, vol. 75, 7, pp. 2420-2444, (2018). |
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| 2018-12 | Jessika CAMAÑO, Cristian MUÑOZ, Ricardo OYARZÚA: Numerical analysis of a dual-mixed problem in non-standard Banach spaces. Electronic Transactions on Numerical Analysis, vol. 48, pp. 114-130, (2018). |
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| 2017-30 | Eligio COLMENARES, Gabriel N. GATICA, Ricardo OYARZÚA: A posteriori error analysis of an augmented mixed-primal formulation for the stationary Boussinesq model. Calcolo, vol. 54, 3, pp. 1055-1095, (2017). |
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| 2017-25 | Jessika CAMAÑO, Gabriel N. GATICA, Ricardo OYARZÚA, Ricardo RUIZ-BAIER: An augmented stress-based mixed finite element method for the steady state Navier-Stokes equations with nonlinear viscosity. Numerical Methods for Partial Differential Equations, vol. 33, 5, pp. 1692-1725, (2017). |
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| 2017-23 | Sergio CAUCAO, Gabriel N. GATICA, Ricardo OYARZÚA, Ivana SEBESTOVA: A fully-mixed finite element method for the Navier-Stokes/Darcy coupled problem with nonlinear viscosity. Journal of Numerical Mathematics, vol. 25, 2, pp. 55-88, (2017). |
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| 2017-19 | Ricardo OYARZÚA, Paulo ZUÑIGA: Analysis of a conforming finite element method for the Boussinesq problem with temperature-dependent parameters. Journal of Computational and Applied Mathematics, vol. 323, pp. 71-94, (2017). |
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| 2017-11 | Marco DISCACCIATI, Ricardo OYARZÚA: A conforming mixed finite element method for the Navier-Stokes/Darcy coupled problem. Numerische Mathematik, vol. 135, no. 2, pp. 571-606, (2017). |
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| 2017-09 | Eligio COLMENARES, Gabriel N. GATICA, Ricardo OYARZÚA: An augmented fully-mixed finite element method for the stationary Boussinesq problem. Calcolo, vol. 54, 1, pp. 167-205, (2017). |
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| 2017-06 | Jessika CAMAÑO, Ricardo OYARZÚA, Giordano TIERRA: Analysis of an augmented mixed-FEM for the Navier-Stokes problem. Mathematics of Computation, vol. 86, 304, pp. 589-615, (2017). |
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| 2017-05 | Sergio CAUCAO, Gabriel N. GATICA, Ricardo OYARZÚA: A posteriori error analysis of a fully-mixed formulation for the Navier-Stokes/Darcy coupled problem with nonlinear viscosity. Computer Methods in Applied Mechanics and Engineering, vol. 315, pp. 943-971, (2017). |
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| 2016-39 | Ricardo OYARZÚA, Ricardo RUIZ-BAIER: Locking-free finite element methods for poroelasticity. SIAM Journal on Numerical Analysis, vol. 54, 5, pp. 2951-2973, (2016). |
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| 2016-32 | Veronica ANAYA, David MORA, Ricardo OYARZÚA, Ricardo RUIZ-BAIER: A priori and a posteriori error analysis of a mixed scheme for the Brinkman problem. Numerische Mathematik, vol. 133 , pp. 781-817, (2016). |
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| 2016-23 | Jessika CAMAÑO, Gabriel N. GATICA, Ricardo OYARZÚA, Giordano TIERRA: An augmented mixed finite element method for the Navier-Stokes equations with variable viscosity. SIAM Journal on Numerical Analysis, vol. 54, 2, pp. 1069-1092, (2016). |
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| 2016-22 | Sergio CAUCAO, David MORA, Ricardo OYARZÚA: A priori and a posteriori error analysis of a pseudostress-based mixed formulation of the Stokes problem with varying density. IMA Journal of Numerical Analysis, vol. 36, 2, pp. 947-983, (2016). |
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| 2016-08 | Eligio COLMENARES, Gabriel N. GATICA, Ricardo OYARZÚA: Analysis of an augmented mixed-primal formulation for the stationary Boussinesq problem. Numerical Methods for Partial Differential Equations, vol. 32, 2, pp. 445-478, (2016). |
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| 2016-07 | Eligio COLMENARES, Gabriel N. GATICA, Ricardo OYARZÚA: Fixed point strategies for mixed variational formulations of the stationary Boussinesq problem. Comptes Rendus Mathematique, vol. 354, 1, pp. 57-62, (2016). |
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| 2015-19 | Jessika CAMAÑO, Gabriel N. GATICA, Ricardo OYARZÚA, Ricardo RUIZ-BAIER, Pablo VENEGAS: New fully-mixed finite element methods for the Stokes-Darcy coupling. Computer Methods in Applied Mechanics and Engineering, vol. 295, pp. 362-395, (2015). |
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| 2014-20 | Ricardo OYARZÚA, Tong QIN, Dominik SCHÖTZAU: An exactly divergence-free finite element method for a generalized Boussinesq problem. IMA Journal of Numerical Analysis, vol. 34, 3, pp. 1104-1135, (2014). |
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| 2014-02 | Gabriel N. GATICA, Antonio MARQUEZ, Ricardo OYARZÚA, Ramiro REBOLLEDO: Analysis of an augmented fully-mixed approach for the coupling of quasi-Newtonian fluids and porous media. Computer Methods in Applied Mechanics and Engineering, vol. 270, 1, pp. 76-112, (2014). |
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| 2013-04 | Carolina DOMINGUEZ, Gabriel N. GATICA, Salim MEDDAHI, Ricardo OYARZÚA: A priori error analysis of a fully-mixed finite element method for a two-dimensional fluid-solid interaction problem. ESAIM: Mathematical Modelling and Numerical Analysis, vol. 47, 2, pp. 471-506, (2013). |
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| 2012-24 | Gabriel N. GATICA, Ricardo OYARZÚA, Francisco J. SAYAS: A twofold saddle point approach for the coupling of fluid flow with nonlinear porous media flow. IMA Journal of Numerical Analysis, vol. 32, 3, pp. 845-887, (2012). |
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| 2011-20 | Gabriel N. GATICA, Ricardo OYARZÚA, Francisco J. SAYAS: Analysis of fully-mixed finite element methods for the Stokes-Darcy coupled problem. Mathematics of Computation, vol. 80, 276, pp. 1911-1948, (2011). |
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| 2011-13 | Gabriel N. GATICA, Ricardo OYARZÚA, Francisco J. SAYAS: Convergence of a family of Galerkin discretizations for the Stokes-Darcy coupled problem. Numerical Methods for Partial Differential Equations, vol. 27, 3, pp. 721-748, (2011). |
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| 2011-12 | Gabriel N. GATICA, Ricardo OYARZÚA, Francisco J. SAYAS: A residual-based a posteriori error estimator for a fully-mixed formulation of the Stokes-Darcy coupled problem. Computer Methods in Applied Mechanics and Engineering, vol. 200, 21-22, pp. 1877-1891, (2011). |
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| 2009-02 | Gabriel N. GATICA, Salim MEDDAHI, Ricardo OYARZÚA: A conforming mixed finite-element method for the coupling of fluid flow with porous media flow. IMA Journal of Numerical Analysis, vol. 29, 1, pp. 86-108, (2009) |
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