Investigadores
 | Nombre | Ricardo E. Oyarzua |
|---|---|---|
| Unidad Académica | Departamento de Matemática, Facultad de Ciencias, Universidad del Bío-Bío | |
| Áreas de Investigación |
Áreas en Ciencias Básicas: - Análisis Numérico de Ecuaciones Diferenciales Parciales Áreas en Ciencias Aplicadas: - Métodos de Elementos Finitos en Ciencias de la Ingeniería |
|
| Sitio Web Personal | http://ciencias.ubiobio.cl/royarzua | |
| Teléfono | +56 - 041 - 3111728 |
*La información mostrada a continuación refleja las contribuciones desarrolladas por el investigador durante su participación en el centro o en colaboración con este. Para detalles adicionales, puede consultar su Sitio Web Personal.
Publicaciones (54) +
| Número | Autores, Título y Datos de la Publicación | DOI Link |
|---|---|---|
| 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). |
Link |
| 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). |
Link |
| 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). |
Link |
| 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). |
Link |
| 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). |
Link |
| 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). |
Link |
| 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). |
Link |
| 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). |
Link |
| 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). |
Link |
| 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). |
Link |
| 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). |
Link |
| 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). |
Link |
| 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). |
Link |
| 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). |
Link |
| 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). |
Link |
| 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). |
Link |
| 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). |
Link |
| 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). |
Link |
| 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). |
Link |
| 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). |
Link |
| 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). |
Link |
| 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). |
Link |
| 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). |
Link |
| 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). |
Link |
| 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). |
Link |
| 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). |
Link |
| 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). |
Link |
| 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) |
Link |
| 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). |
Link |
| 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). |
Link |
| 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). |
Link |
| 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). |
Link |
| 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). |
Link |
| 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). |
Link |
| 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). |
Link |
| 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). |
Link |
| 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). |
Link |
| 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). |
Link |
| 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). |
Link |
| 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). |
Link |
| 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). |
Link |
| 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). |
Link |
| 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). |
Link |
| 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). |
Link |
| 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). |
Link |
| 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). |
Link |
| 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). |
Link |
| 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). |
Link |
| 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). |
Link |
| 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). |
Link |
| 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). |
Link |
| 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). |
Link |
| 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). |
Link |
| 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) |
Link |
Proceedings (0) +
| Número | Autores, Título y Datos del Proceeding |
|---|---|
| (Actualmente, no se han registrado proceedings del investigador asociados al centro) | |
Prepublicaciones (7+51) +
| Prepublicaciones | |
|---|---|
| Número | Autores y Título |
| 2025-06 | Jessika CAMAÑO, Ricardo OYARZÚA, Katherine ROJO: A momentum and mass conservative pseudostress-based mixed finite element method for the Stokes problem. |
| 2024-20 | Ana ALONSO-RODRIGUEZ, Jessika CAMAÑO, Ricardo OYARZÚA: Analysis of a FEM with exactly divergence-free magnetic field for the stationary MHD problem. |
| 2024-15 | Isaac BERMUDEZ, Víctor BURGOS, Jessika CAMAÑO, Fernando GAJARDO, Ricardo OYARZÚA, Manuel SOLANO: Mixed finite element methods for coupled fluid flow problems arising from reverse osmosis modeling. |
| 2023-15 | Jessika CAMAÑO, Ricardo OYARZÚA: A conforming and mass conservative pseudostress-based mixed finite element method for Stokes. |
| 2023-14 | Jessika CAMAÑO, Ricardo OYARZÚA, Miguel SERÓN, Manuel SOLANO: A conforming finite element method for a nonisothermal fluid-membrane interaction. |
| 2021-22 | Ricardo OYARZÚA, Manuel SOLANO, Paulo ZUÑIGA: Analysis of an unfitted mixed finite element method for a class of quasi-Newtonian Stokes flow. |
| 2016-25 | Jessika CAMAÑO, Luis F. GATICA, Ricardo OYARZÚA: A priori and a posteriori error analyses of a flux-based mixed-FEM for convection-diffusion-reaction problems. |
| Prepublicaciones que Dieron Origen a Publicaciónes Definitivas | |
|---|---|
| Número | Autores y Título |
| 2024-19 | 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. |
| 2023-30 | Jessika CAMAÑO, Ricardo OYARZÚA, Miguel SERÓN, Manuel SOLANO: A mass conservative finite element method for a nonisothermal Navier-Stokes/Darcy coupled system. |
| 2022-11 | 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. |
| 2022-03 | Eligio COLMENARES, Ricardo OYARZÚA, Francisco PIÑA: A fully-DG method for the stationary Boussinesq system. |
| 2021-24 | Sergio CAUCAO, Ricardo OYARZÚA, Segundo VILLA-FUENTES, Ivan YOTOV: A three-field Banach spaces-based mixed formulation for the unsteady Brinkman-Forchheimer equations. |
| 2020-29 | Sergio CAUCAO, Ricardo OYARZÚA, Segundo VILLA-FUENTES: A posteriori error analysis of a momentum and thermal energy conservative mixed-FEM for the Boussinesq equations. |
| 2020-24 | 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. |
| 2020-23 | 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. |
| 2020-17 | Patrick E. FARRELL, Luis F. GATICA, Bishnu LAMICHHANE, Ricardo OYARZÚA, Ricardo RUIZ-BAIER: Mixed Kirchhoff stress - displacement - pressure formulations for incompressible hyperelasticity. |
| 2020-13 | Jessika CAMAÑO, Carlos GARCIA, Ricardo OYARZÚA: Analysis of a new mixed-FEM for stationary incompressible magneto-hydrodynamics. |
| 2020-01 | 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. |
| 2019-41 | Sergio CAUCAO, Ricardo OYARZÚA, Segundo VILLA-FUENTES: A new mixed-FEM for steady-state natural convection models allowing conservation of momentum and thermal energy. |
| 2019-34 | Gabriel N. GATICA, Ricardo OYARZÚA, Nathalie VALENZUELA: A five-field augmented fully-mixed finite element method for the Navier-Stokes/Darcy coupled problem. |
| 2019-33 | 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. |
| 2019-31 | Ricardo OYARZÚA, Sander RHEBERGEN, Manuel SOLANO, Paulo ZUÑIGA: Error analysis of a conforming and locking-free four-field formulation in poroelasticity. |
| 2019-15 | Ricardo OYARZÚA, Manuel SOLANO, Paulo ZUÑIGA: A priori and a posteriori error analyses of a high order unfitted mixed-FEM for Stokes flow. |
| 2018-32 | Sarvesh KUMAR, Ricardo OYARZÚA, Ricardo RUIZ-BAIER, Ruchi SANDILYA: Conservative discontinuous finite volume and mixed schemes for a new four-field formulation in poroelasticity. |
| 2018-27 | Ricardo OYARZÚA, Manuel SOLANO, Paulo ZUÑIGA: A high order mixed-FEM for diffusion problems on curved domains. |
| 2018-25 | Jessika CAMAÑO, Carlos GARCIA, Ricardo OYARZÚA: Analysis of a conservative mixed-FEM for the stationary Navier-Stokes problem. |
| 2018-21 | Ricardo OYARZÚA, Miguel SERÓN: A divergence-conforming DG-mixed finite element method for the stationary Boussinesq problem. |
| 2018-18 | 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. |
| 2018-07 | 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. |
| 2017-29 | Sergio CAUCAO, Marco DISCACCIATI, Gabriel N. GATICA, Ricardo OYARZÚA: A conforming mixed finite element method for the Navier-Stokes/Darcy-Forchheimer coupled problem. |
| 2017-25 | Sergio CAUCAO, Gabriel N. GATICA, Ricardo OYARZÚA: A posteriori error analysis of an augmented fully-mixed formulation for the non-isothermal Oldroyd-Stokes problem. |
| 2017-21 | Sergio CAUCAO, Gabriel N. GATICA, Ricardo OYARZÚA: Analysis of an augmented fully-mixed formulation for the non-isothermal Oldroyd-Stokes problem. |
| 2017-18 | Javier A. ALMONACID, Gabriel N. GATICA, Ricardo OYARZÚA: A mixed-primal finite element method for the Boussinesq problem with temperature-dependent viscosity. |
| 2017-17 | Eligio COLMENARES, Gabriel N. GATICA, Ricardo OYARZÚA: A posteriori error analysis of an augmented fully-mixed formulation for the stationary Boussinesq model. |
| 2016-37 | Eligio COLMENARES, Gabriel N. GATICA, Ricardo OYARZÚA: A posteriori error analysis of an augmented mixed-primal formulation for the stationary Boussinesq model. |
| 2016-36 | 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. |
| 2016-27 | 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. |
| 2016-24 | Jessika CAMAÑO, Gabriel N. GATICA, Ricardo OYARZÚA, Ricardo RUIZ-BAIER: An augmented stress-based mixed finite element method for the Navier-Stokes equations with nonlinear viscosity. |
| 2016-23 | 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. |
| 2015-41 | Ricardo OYARZÚA, Ricardo RUIZ-BAIER: Locking-free finite element methods for poroelasticity. |
| 2015-39 | 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. |
| 2015-31 | Jessika CAMAÑO, Cristian MUÑOZ, Ricardo OYARZÚA: Analysis of a mixed finite element method for the Poisson problem with data in L^p, 2n/(n + 2) < p < 2, n = 2, 3. |
| 2015-30 | Eligio COLMENARES, Gabriel N. GATICA, Ricardo OYARZÚA: An augmented fully-mixed finite element method for the stationary Boussinesq problem. |
| 2015-27 | Ricardo OYARZÚA, Paulo ZUÑIGA: Analysis of a conforming finite element method for the Boussinesq problem with temperature-dependent parameters. |
| 2015-24 | Marco DISCACCIATI, Ricardo OYARZÚA: A conforming mixed finite element method for the Navier-Stokes/Darcy coupled problem. |
| 2015-09 | Jessika CAMAÑO, Gabriel N. GATICA, Ricardo OYARZÚA, Giordano TIERRA: An augmented mixed finite element method for the Navier-Stokes equations with variable viscosity. |
| 2015-07 | Eligio COLMENARES, Gabriel N. GATICA, Ricardo OYARZÚA: Analysis of an augmented mixed-primal formulation for the stationary Boussinesq problem. |
| 2015-07 | Eligio COLMENARES, Gabriel N. GATICA, Ricardo OYARZÚA: Analysis of an augmented mixed-primal formulation for the stationary Boussinesq problem. |
| 2014-33 | Jessika CAMAÑO, Ricardo OYARZÚA, Giordano TIERRA: Analysis of an augmented mixed-FEM for the Navier-Stokes problem. |
| 2014-20 | Veronica ANAYA, David MORA, Ricardo OYARZÚA, Ricardo RUIZ-BAIER: A priori and a posteriori error analysis for a vorticity-based mixed formulation of the generalized Stokes equations. |
| 2014-18 | Jessika CAMAÑO, Gabriel N. GATICA, Ricardo OYARZÚA, Ricardo RUIZ-BAIER, Pablo VENEGAS: New fully-mixed finite element methods for the Stokes-Darcy coupling. |
| 2013-20 | Sergio CAUCAO, David MORA, Ricardo OYARZÚA: Analysis of a mixed-FEM for the pseudostress-velocity formulation of the Stokes problem with varying density. |
| 2013-19 | 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. |
| 2013-07 | Ricardo OYARZÚA, Dominik SCHÖTZAU: An exactly divergence-free finite element method for a generalized Boussinesq problem. |
| 2011-25 | 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. |
| 2010-19 | Gabriel N. GATICA, Ricardo OYARZÚA, Francisco J. SAYAS: A twofold saddle point approach for the coupling of fluid flow with nonlinear porous media flow. |
| 2010-12 | 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. |
| 2009-08 | Gabriel N. GATICA, Ricardo OYARZÚA, Francisco J. SAYAS: Analysis of fully-mixed finite element methods for the Stokes-Darcy coupled problem. |
Proyectos (5) +
Libros (0) +
| Autores | Título | Descripción |
|---|---|---|
| (Actualmente, no se han registrado libros publicados del investigador asociados al centro) | ||
Director/Codirector de Tesis Posgrado (4+8) +
| Alumnos Tesistas de Posgrado Actuales | ||||
|---|---|---|---|---|
| Aprobacion Tesis | Nombre | Título de la Tesis | Programa | Directores |
| 2024-03-13 | Aldana, Eider | Numerical analysis for a reverse Osmosis model | Doctorado en Matemática Aplicada, Universidad del Bío-Bío | Ricardo E. Oyarzua, Giordano Tierra |
| 2021-09-01 | Serón, Miguel | Conforming and non-conforming discretizations for desalination process models | Doctorado en Matemática Aplicada, Universidad del Bío-Bío | Jessika Camaño, Ricardo E. Oyarzua, Manuel Solano |
| 2020-03-30 | Piña, Francisco | Análisis Numérico de un nuevo método de elementos finitos completamente no conforme y conservativo para el modelo de Boussinesq estacionario | Magíster en Matemática con mención en Matemática Aplicada, Universidad del Bío-Bío | Eligio Colmenares, Ricardo E. Oyarzua |
| Rojo, Katherine | Un método de elementos finitos mixtos basado en pseudoesfuerzo conservativo de momentum y de masa para el problema de Navier-Stokes | Magíster en Matemática Aplicada, Universidad Católica de la Santísima Concepción | Jessika Camaño, Ricardo E. Oyarzua | |
| Alumnos Tesistas de Posgrado Graduados | ||||
|---|---|---|---|---|
| Defensa de Tesis | Nombre | Título de la Tesis | Programa | Directores |
| 2021-09-24 | Villa, Segundo | Numerical analysis of dual-mixed formulations of nonlinear fluid flow problems posed on nonstandard Banach spaces. | Doctorado en Matemática Aplicada, Universidad del Bío-Bío | Sergio Caucao, Ricardo E. Oyarzua |
| 2021-05-31 | Piña, Francisco | Aproximaciones de Galerkin discontinuo con divergencia nula para el Sistema de Boussinesq estacionario | Magíster en Matemática, mención Matemática Aplicada, Universidad del Bío-Bío | Eligio Colmenares, Ricardo E. Oyarzua |
| 2021-05-31 | Piña, Francisco | Aproximaciones de Galerkin discontinuo con divergencia nula para el Sistema de Boussinesq estacionario | Magíster en Matemática con mención en Matemática Aplicada, Universidad del Bío-Bío | Eligio Colmenares, Ricardo E. Oyarzua |
| 2021-05-31 | Piña, Francisco | Aproximaciones de Galerkin discontinuo con divergencia nula para el Sistema de Boussinesq estacionario | Magíster en Matemática con mención en Matemática Aplicada, Universidad del Bío-Bío | Eligio Colmenares, Ricardo E. Oyarzua |
| 2019-12-17 | Zúñiga, Paulo | High-Order Mixed Methods in Continuum Mechanics | Doctorado en Ciencias Aplicadas con mención en Ingeniería Matemática, Universidad de Concepción | Ricardo E. Oyarzua, Manuel Solano |
| 2019-08-22 | Valenzuela, Nathalie | Un Nuevo Método de Elementos Finitos Mixtos Aumentados para el Problema de Navier-Stokes-Darcy | Magíster en Matemática, mención Matemática Aplicada, Universidad del Bío-Bío | Gabriel N. Gatica, Ricardo E. Oyarzua |
| 2017-12-29 | Caucao, Sergio | Métodos de Elementos Finitos Mixtos para Problemas Acoplados No Lineales en Medios Porosos y Flujos No Isotérmicos | Doctorado en Ciencias Aplicadas con mención en Ingeniería Matemática, Universidad de Concepción | Gabriel N. Gatica, Ricardo E. Oyarzua |
| 2016-12-16 | Colmenares, Eligio | Métodos de Elementos Finitos Mixtos para el Modelo de Boussinesq Estacionario | Doctorado en Ciencias Aplicadas con mención en Ingeniería Matemática, Universidad de Concepción | Gabriel N. Gatica, Ricardo E. Oyarzua |
Director/Codirector de Tesis Pregrado (1+2) +
| Alumnos Tesistas de Pregrado Actuales | ||||
|---|---|---|---|---|
| Aprobacion Tesis | Nombre | Título de la Tesis | Carrera | Directores |
| 2023-01-23 | Burgos, Víctor | Desarrollo y Análisis de un Método Numérico para un Modelo Fenomenológico de Osmosis Inversa | Ingeniería Civil Matemática, Universidad de Concepción | Raimund Bürger, Pep Mulet, Ricardo E. Oyarzua, Manuel Solano, Luis M. Villada |
| Alumnos Tesistas de Pregrado Graduados | ||||
|---|---|---|---|---|
| Defensa de Tesis | Nombre | Título de la Tesis | Carrera | Directores |
| 2017-08-28 | Almonacid, Javier A. | Análisis Numérico de un Método de Elementos Finitos Mixtos para el Problema de Boussinesq con Viscosidad Variable | Ingeniería Civil Matemática, Universidad de Concepción | Gabriel N. Gatica, Ricardo E. Oyarzua |
| 2013-07-29 | Rebolledo, Ramiro J. | Análisis de un Enfoque Completamente Mixto Aumentado para el Acoplamiento de Fluidos Quasi-Newtonianos con Medios Porosos | Ingeniería Civil Matemática, Universidad de Concepción | Gabriel N. Gatica, Ricardo E. Oyarzua |