THESIS STUDENTS OF GABRIEL  N .  GATICA


 
FROM PH.D. IN MATHEMATICAL ENGINEERING:
  1. MARIO MELLADO

    2. Program entry: March 1995.
    Title of the thesis:  Solucion Numerica de Problemas Exteriores en Teoria del Potencial y Elasticidad. PDF.
    Period of the thesis: August 1996 - March 2000. Finished.
    Total time in the program: 5 years
     
  2. MAURICIO BARRIENTOS

    3. Program entry: March 1997.
    Title of the thesis:  Analisis de Error A-posteriori para Formulaciones Mixtas Duales de Problemas de
    Valores de Contorno Lineales y No-lineales.         PDF.
    Period of the thesis: April 1999 - December 2002. Finished.
    Total time in the program: 5.75 years
     
  3. ROMMEL BUSTINZA

    4. Program entry: March 2000.
    Title of the thesis:  Analisis Numerico de Problemas de Transmision con Discontinuidades. PDF.
    Period of the thesis: June 2002 - June 2004. Finished.
    Total time in the program: 4.25 years
     
  4. LUIS GATICA

    5. Program entry: March 1999.
    Title of the thesis:  Metodos  de Elementos Finitos Mixtos  para Elasticidad Incompresible No lineal. PDF.
    Period of the thesis: November 2001 - September 2005. Finished.
    Total time in the program: 6.5 years
     
  5. TOMAS BARRIOS

    6. Program entry: March 1999.
    Title of the thesis: Analisis de Error A priori y A posteriori de Algunos Metodos  de Elementos Finitos Mixtos  Estabilizados. PDF.
    Period of the thesis: September 2001 - March 2006. Finished.
    Total time in the program: 7 years
    Co-Advisor: Freddy Paiva
     
  6. RICARDO OYARZUA

    7. Program entry: March 2007.
    Title of the thesis: Metodos de Elementos Finitos Mixtos para el Problema Acoplado de Stokes-Darcy. PDF.
    Period of the thesis: July 2008 - December 2010. Finished.
    Total time in the program: 3.75 years
    Co-Advisor: Francisco J. Sayas (University of Delaware, USA)
     
  7. CAROLINA DOMINGUEZ

    8. Program entry: August 2008.
    Title of the thesis: Analisis de Error A priori y A posteriori de un Metodo de Elementos Finitos Completamente Mixto para un Problema de Interaccion Solido-Fluido Bidimensional. PDF.
    Period of the thesis: September 2010 - March 2014. Finished.
    Total time in the program: 5.6 years
    Co-Advisor: Salim Meddahi (University of Oviedo, Spain)
     
  8. FILANDER SEQUEIRA

    9. Program entry: March 2013.
    Title of the thesis: Mixed Finite Element and Related Methods for Nonlinear and Transmission Problems in Continuum Mechanics.
    Period of the thesis: August 2014 - December 2015. Finished.
    Total time in the program: 2.75 years
    Co-Advisor: Johnny Guzman (Brown University, USA)
     
  9. MARIO ALVAREZ

    10. Program entry: March 2013.
    Title of the thesis: Mixed Finite Element Methods for Coupled Problems in Fluid Mechanics.
    Period of the thesis: August 2014 - December 2016. Finished.
    Total time in the program: 3.75 years
    Co-Advisor: Ricardo Ruiz-Baier (University of Lausanne, Switzerland)
     
  10. ELIGIO COLMENARES

    11. Program entry: March 2013.
    Title of the thesis: Mixed Finite Element Methods for the Stationary Boussinesq Problem.
    Period of the thesis: January 2015 - December 2016. Finished.
    Total time in the program: 3.75 years
    Co-Advisor: Ricardo Oyarzua (Universidad del Bio-Bio, Chile)
     
  11. CARLOS GARCIA

    12. Program entry: March 2012.
    Title of the thesis: Mixed Finite Element Methods for Time-Dependent Wave Propagation Problems: Elastodynamics and Elastoacoustics.
    Period of the thesis: September 2014 - June 2017. Finished.
    Total time in the program: 5.25 years
    Co-Advisor: Salim Meddahi (University of Oviedo, Spain)
     
  12. SERGIO CAUCAO

    13. Program entry: March 2014.
    Title of the thesis: Mixed Finite Element Methods for Nonlinear Coupled Problems in Porous Media and Non-Isothermal Flows.
    Period of the thesis: November 2015 - December 2017. Finished.
    Total time in the program: 3.75 years
    Co-Advisor: Ricardo Oyarzua (University of Bio-Bio, Chile)
     
  13. MAURICIO MUNAR

    14. Program entry: March 2015.
    Title of the thesis: Mixed Virtual Element Methods for Nonlinear Problems in Fluid Mechanics.
    Period of the thesis: December 2016 - December 2019. Finished.
    Total time in the program: 4.75 years
    Co-Advisor: Filander Sequeira (Universidad Nacional, Costa Rica)
     
  14. BRYAN GOMEZ

    15. Program entry: March 2016.
    Title of the thesis: Mixed Finite Element Methods for Coupled Diffusion Problems in Mechanics.
    Period of the thesis: August 2017 - December 2019. Finished.
    Total time in the program: 3.75 years
    Co-Advisor: Ricardo Ruiz-Baier (Oxford University, UK)
     
  15. WILLIAN MIRANDA

    16. Program entry: March 2016.
    Title of the thesis: Mixed Finite Element Methods for Nonlinear Problems in Biomedicine and Biology.
    Period of the thesis: January 2018 - August 2021. Finished.
    Total time in the program: 5.33 years
    Co-Advisors: Eligio Colmenares (UBB), Daniel Hurtado (PUC)
     
  16. JUAN PAULO ORTEGA

    17. Program entry: March 2019.
    Title of the thesis: Mixed Finite Element Methods for Brinkman-Forchheimer and Related Single and Coupled Models in Fluid Mechanics.
    Period of the thesis: January 2021 - . In process.
    Co-Advisor: Sergio Caucao (UCSC)
     
  17. CRISTIAN INZUNZA

    18. Program entry: March 2020.
    Title of the thesis: Banach Spaces-Based Mixed Finite Element Methods for Coupled Diffusion Problems and Related Models.
    Period of the tesis: December 2021 - . In process.
    Co-Advisors: Eligio Colmenares (UBB), Filander Sequeira (UNA, Costa Rica)
     

     
    FROM MATHEMATICAL ENGINEERING:
    1. EMILIANO HENRIQUEZ

      2. Title of the thesis: Resolucion Numerica de Sistemas Nolineales. Implementacion Computacional.
      Period: December 1984 - August 1985. Finished.
       
    2. GABRIEL BARRENECHEA

      3. Title of the thesis: Acoplamiento de Elementos Finitos y Elementos de Frontera para Problemas Elipticos con Condiciones de Contorno Nolineales.
      Period: April 1995 - April 1996. Finished.
       
    3. MAURICIO BARRIENTOS

      4. Title of the thesis: Analisis Numerico e Implementacion Computacional del Desacoplamiento de Elementos Finitos y Elementos de Frontera para Problemas Nolineales.
      Period:May 1995 - August 1997. Finished.
       
    4. ERWIN HERNANDEZ

      5. Title of the thesis: Analisis Numerico y Computacional de Metodos de Descomposicion de Dominio para Problemas Exteriores.
      Period: March 1996 - March 1998. Finished.
       
    5. MARIO QUIJADA

      6. Title of the thesis:  Elementos Finitos Mixtos para un Problema No-lineal en Elasticidad.
      Period:  July 2000 - September 2002.  Finished.
       
    6. RICARDO OYARZUA

      7. Title of the thesis:  Un Metodo de Elementos Finitos Mixtos para el Acoplamiento de Fluidos con Medios Porosos. PDF
      Period:  September 2005 - January 2007.  Finished.
       
    7. LEONARDO FIGUEROA

      8. Title of the thesis:  Un Metodo de Elementos Finitos Mixtos para Elasticidad Incompresible e Iteracion por GMRES de su Contraparte Compresible. PDF
      Period:  April 2006 - January 2007.  Finished.
       
    8. MANUEL SOLANO

      9. Title of the thesis:  Metodos de Elementos Finitos Mixtos para Problemas No-coercivos. Aplicaciones en Acustica y Elastodinamica. PDF
      Period:  April 2006 - January 2007.  Finished.
       
    9. MANUEL SANCHEZ

      10. Title of the thesis:  Analisis de una Formulacion Velocidad-Presion-Pseudoesfuerzo del Problema de Stokes Estacionario. PDF
      Period:  March 2009 - January 2010.  Finished.
       
    10. WALTER RUDOLPH

      11. Title of the thesis:  Analisis de Error A priori y A posteriori de Formulaciones de Punto Silla Doble Aumentadas para Problemas de Elasticidad No lineal.
      Period:  October 2010 - August 2012.  Finished.
       
    11. RAMIRO REBOLLEDO

      12. Title of the thesis:  Analisis Numerico de una Formulacion Mixta Aumentada para el Acoplamiento de Fluidos Quasi-Newtonianos con Medios Porosos.
      Period:  May 2011 - July 2013.  Finished.
       
    12. FRANCO MILANESE

      13. Title of the thesis:  Metodos de Elementos Finitos para un Problema de Darcy en la Mineria del Cobre.
      Periodo:  November 2012 - May 2014.  Finished.
       
    13. SEBASTIAN DOMINGUEZ

      14. Title of the thesis:  Una Formulacion Primal-Mixta para el Acoplamiento Fuerte de Fluidos Quasi-Newtonianos con Medios Porosos.
      Period:  April 2013 - January 2015.  Finished.
       
    14. ERNESTO CACERES

      15. Title of the thesis:  Metodos de Elementos Virtuales Mixtos: Aplicaciones en Mecanica de Fluidos.
      Period:  March 2014 - January 2015.  Finished.
       
    15. HUGO DIAZ

      16. Title of the thesis:  The Stokes/Darcy-Forchheimer Coupled Problem.
      Periodo:  March 2013 - September 2015.  Finished.
       
    16. JORGE CASTILLO

      17. Title of the thesis:  Analisis de Error A Posteriori para las Formulaciones Completamente Mixtas de los Problemas de Stokes y de Stokes-Darcy Evolutivos.
      Period:  May 2012 - October 2015.  Finished.
       
    17. JAVIER ALMONACID

      18. Title of the thesis:  Numerical Analysis of a Mixed Finite Element Method for the Boussinesq Problem with Viscosity Depending on the Temperature.
      Period:  August 2016 - August 2017.  Finished.
       
    18. FELIPE SANDOVAL

      19. Title of the thesis:  A Fully Mixed Finite Element Method for the Navier-Stokes/Darcy-Forchheimer Coupled Problem.
      Periodo:  January 2018 - December 2018   Finished.
       
    19. CRISTIAN INZUNZA

      20. Title of the thesis:  Numerical Analysis of an Augmented Mixed Finite Element Method for the Coupled Flow Transport Problem.
      Period:  January 2018 - December 2018   Finished.
       
    20. SEBASTIAN MORAGA

      21. Title of the thesis:  A Banach Spaces-Based Analysis of a New Fully-Mixed Finite Element Method for the Boussinesq Problem.
      Period:  January 2018 - March 2019   Finished.
       
    21. JUAN CARLOS ROJAS

      22. Title of the thesis:  A Banach Spaces-Based Mixed-Primal Finite Element Method for the Coupling of Brinkman Flow and Nonlinear Transport.
      Period:  September 2020 - April 2022   Finished.
       
    22. CLAUDIO CORREA

      23. Title of the thesis:  A Banach Spaces-Based Mixed Finite Element Method for the Coupled Poisson-Nernst-Planck and Stokes Equations.
      Period:  October 2021 - October 2022   Finished.
       
    23. NICOLAS NUNEZ

      24. Title of the thesis:  Banach Spaces-Based Mixed-Primal Finite Element Methods for the Coupling of the Navier-Stokes-Brinkman and Natural Convection Equations.
      Period:  September 2020 - January 2023   Finished.
       
    24. SERGIO CARRASCO

      25. Title of the thesis:  Banach Spaces-Based Mixed Finite Element Methods for the Coupled Convective Brinkman--Forchheimer and Double-Diffusion Equations.
      Period:  March 2023 - August 2023  Finished.
       
    25. JUAN P. SILVA

      26. Title of the Thesis:  Mixed Finite Element Methods for the Navier-Stokes Model with Variable Viscosity and its Coupling with Darcy's Equation..
      Period:  August 2023 -   In process.
       

     
    FROM MASTER IN MATHEMATICS:
    1. RODOLFO ARAYA

      2. Title of the thesis:  Analisis Matematico y Numerico de un Esquema de Galerkin No-conforme para Problemas Variacionales con Restricciones.
      Period: September 1991 - July 1992. Finished.
       
    2. JERONIMO PAREDES

      3. Title of the thesis:  Sobre la Estabilidad de Metodos Mixtos de Elementos Finitos.
      Period: May 1992 - April 1995. Finished.