Man

Ricardo Oyarzúa Vargas

Associate Professor

UNIVERSIDAD DEL BIO-BIO

Concepcion, Chile

Líneas de Investigación


Numerical Analysis of Partial Differential Equations; Finite Element Methods; Fluid and Solid Mechanics

Educación

  •  Applied Sciences with major on Mathematical Engineering, UNIVERSIDAD DE CONCEPCION. Chile, 2010
  •  Mathematical Engineer, UNIVERSIDAD DE CONCEPCION. Chile, 2007

Experiencia Académica

  •   Assistant Professor Full Time

    UNIVERSIDAD DEL BIO-BIO

    Faculty of Science

    Concepcion, Chile

    2011 - 2016

  •   Postdoc Full Time

    University of British Columbia

    Vancouver, Canada

    2011 - 2012

  •   Associate Researcher Other

    UNIVERSIDAD DE CHILE

    Facultad de Ciencias Fisicas y Matematicas

    Santiago, Chile

    2018 - A la fecha

  •   Associate Researcher Part Time

    UNIVERSIDAD DE CONCEPCION

    Facultad de Ciencias Fisicas y Matematicas

    Concepcion, Chile

    2011 - A la fecha

  •   Associate Professor Full Time

    UNIVERSIDAD DEL BIO-BIO

    Facultad de Ciencias

    Concepcion, Chile

    2017 - A la fecha

Experiencia Profesional

  •   Director of the Ph.D Program in Applied Mathematics Other

    Universidad del Bio-Bio

    Concepcion, Chile

    2017 - A la fecha

  •   Member of the advisory committee in Mathematics and Statistics of the National Accreditation Commission Part Time

    CNA

    Santiago, Chile

    2019 - A la fecha

  •   Mathematics Study Group Part Time

    ANID

    Santiago, Chile

    2020 - 2020

Formación de Capital Humano


Postdoc supervisions

Carlos Garcia, Doctor en Ciencias Aplicadas c/m en Ingeniería Matemática, Universidad de Concepción.
Subject: Numerical Analysis of conservative mixed formulations for Navier-Stokes and related problems.
Period: September 2017- September 2018.

PhD Students

Paulo Zuñiga, Doctorado en Ciencias Aplicadas c/m en Ingeniería Matemática, Universidad de Concepción.
Title of the thesis: High-Order Mixed Methods in Continuum Mechanics.
Co-advised with M. Solano
Defended: December 2019.

Sergio Caucao, Doctorado en Ciencias Aplicadas c/m en Ingeniería Matemática, Universidad de Concepción.
Title of the thesis: Mixed Finite Element Methods for Nonlinear Coupled Problems in Porous Media and Non-Isothermal Flows.
Co-advised with G.N. Gatica
Defended: December 2017.

Eligio Colmenares, Doctorado en Ciencias Aplicadas c/m en Ingeniería Matemática, Universidad de Concepción.
Title of the thesis: Mixed Finite Element Methods for Boussinesq, Navier-Stokes and Related Problems in Fluid Mechanics.
Co-advised with G.N. Gatica
Defended: December 2016.

Master Students

Nathalie Valenzuela, Magíster en Matemática c/m Matemática Aplicada, Universidad del Bío-Bío.
Title of the thesis: Augmented-mixed FEM for the Navier-Stokes/Darcy coupled problem with Beavers-Joseph-Saffman condition.
Co-advised with G.N. Gatica
Defended: August 2018.

Miguel Serón , Magíster en Matemática c/m Matemática Aplicada, Universidad del Bío-Bío.
Title of the thesis: A fully Hdiv--conforming method for the stationary Boussinesq problem
Defended: September 2017.

Nestor Sánchez , Magíster en Matemática c/m Matemática Aplicada, Universidad del Bío-Bío.
Title of the thesis: Analysis of an augmented mixed-FEM for the Navier-Stokes-Brinkman problem
Co-advised with L.F. Gatica
Defended: August 2016.

Paulo Zuñiga , Magíster en Matemática c/m Matemática Aplicada, Universidad del Bío-Bío.
Title of the thesis: Aspectos computacionales de un metodo de elementos finitos para el problema de Boussunesq generalizado.
Defended: October 2015.

Cristian Muñoz , Magíster en Matemática c/m Matemática Aplicada, Universidad del Bío-Bío.
Title of the thesis: Analysis of a mixed finite element method for the Poisson problem with data in L^p, 2n/(n + 2) < p < 2, n = 2,3.
Co-advised with J. Camaño
Defended: September 2015.

Sergio Caucao, Magíster en Matemática c/m Matemática Aplicada, Universidad del Bío-Bío.
Title of the thesis: Análisis de un método de elementos finitos mixtos para el problema de Stokes con densidad variable en formulación pseudostress-velocidad.
Co-advised with D. Mora
Defended: March 2014.

Undergraduate students

Javier Almonacid, Ingeniería Civil Matemática, Universidad de Concepción.
Title of the thesis: Numerical analysis of a mixed finite element method for the Boussinesq equations with variable viscosity.
Co-advised with G. N. Gatica
Defended, August 2017.

Ramiro Rebolledo, Ingeniería Civil Matemática, Universidad de Concepción.
Title of the thesis: Análisis Numérico de una Formulación Mixta Aumentada para el Acoplamiento de Fluidos Quasi-Newtonianos con Medios Porosos.
Co-advised with G. N. Gatica
Defended, July 2013.


Difusión y Transferencia


Presentations in international meetings (since 2014)

1. Conservative discontinuous finite volume and mixed schemes for a new four-field formulation in poroelasticity. WONAPDE 2019, Concepción, Chile. January 2019.
2. Error analysis of an augmented mixed method for the Navier-Stokes problem with mixed boundary conditions Santiago Numerico III . Santiago, Chile. June 2017
3. A fully-mixed finite element method for the Navier-Stokes/Darcy coupled problem with nonlinear viscosity MAFELAP 2016. Uxbridge, UK. June 2016
4. Locking-free finite element methods for poroelasticity. WONAPDE 2016, Concepción, Chile. January 2016.
5. Augmented mixed-FEM for Navier-Stokes and related problems in Fluid Mechanics. Advances in Discontinuous Galerkin Methods and Related Topics, Heidelberg, Germany. December 2015
6. A conforming mixed finite element method for the Navier-Stokes/Darcy coupled problem. Interpore 2015. Padova, Italy. May 2015
7. Analysis of an augmented mixed-FEM for the Navier-Stokes problem La Serena Numerica II, La Serena, Chile. January 2015.
8. A priori and a posteriori error analysis for a vorticity-based mixed finite element formulation for the generalized Stokes equations LANUS-FEM, Puerto Varas, Chile. September 2014.

Event Organization:

1. Numerical Analysis and Mathematical Modelling Seminar, Center for Research in Mathematical Engineering (Ci2MA: Centro de Investigacion en Ingenieria Matematica), Chile. Since 2011.
2. Third Spring school of Applied Mathematics (Tercera Escuela de Primavera de Matemática Aplicada EPRIMA), Universidad del Bio-Bio, Chile, October 19-23, 2020.
3. Second Spring school of Applied Mathematics (Segunda Escuela de Primavera de Matemática Aplicada EPRIMA), Universidad del Bio-Bio, Chile, October 14-18, 2019.
4. WONAPDE 2019, Sixth Chilean Workshop on Numerical Analysis of Partial Differential Equations. Universidad de Concepción, Chile. January 21-25, 2019.
5. First Spring school of Applied Mathematics (Primera Escuela de Primavera de Matemática Aplicada EPRIMA), Universidad del Bio-Bio, Chile, November 12-16, 2018.
6. Santiago Numérico III, Ninth Meeting on Numerical Analysis of Partial Differential Equations. Valparaiso, Chile, Santiago, Chile, June 28 - 30, 2017
7. La Serena Numérica II, Eighth Meeting on Numerical Analysis of Partial Differential Equations. Valparaiso, Chile, La Serena, Chile, January 14 - 16, 2015
8. Valparaiso Numérico IV, Seventh Meeting on Numerical Analysis of Partial Differential Equations. Valparaiso, Chile, December 11 - 13, 2013

Research Visits:

1. Department of Mathematics, University of Trento, Italy, August, 2019 (1 week)
1. Mathematical Institute, Oxford University, UK, June, 2019 (1 week)
2. Mathematical Institute, Oxford University, UK, June, 2016 (1 week)
3. Department of Mathematical Sciences, Loughborough University, UK, June, 2016 (1 week)
4. Faculty of Mathematics and Physics, Charles University in Prague, Prague, Czech Republic, April-May, 2015 (3 week)
5. Faculty of Mathematics and Physics, Charles University in Prague, Prague, Czech Republic, June-July, 2014 (2 week)
6. Laboratori de Calcul Numeric (LaCaN), Universitat Politecnica de Catalunya, Barcelona, Spain, June 2014 (1 week)
7. Laboratori de Calcul Numeric (LaCaN), Universitat Politecnica de Catalunya, Barcelona, Spain, June 2013 (1 week)
8. Department of Mathematical Sciences, University of Delaware, Newark, DE, USA, February 2011 (1 month).
9. School of Mathematics, University of Minnesota, Minneapolis, MN, USA, September-December 2009 (3 months).
10. School of Mathematics, University of Minnesota, Minneapolis, MN, USA, October-November 2008 (2 months).


Premios y Distinciones

  •   Prize to Research Activity 2017: Young Researcher category

    UNIVERSIDAD DEL BIO-BIO

    Chile, 2017

    The Prize to Research Activity 2017 of Universidad del Bío-Bío (UBB) was awarded in a ceremony that was held on Monday, December 4, at the Extension Center of this university in Chillan, on which occasion the academician from its Department of Mathematics and external associate researcher of the Center for Research in Mathematical Engineering, CI²MA, Ricardo Oyarzúa, was honored in the Young Researcher category.


 

Article (43)

Banach spaces-based analysis of a fully-mixed finite element method for the steady-state model of fluidized beds
Error analysis of a conforming and locking-free four-field formulation for the stationary Biot’s model
Mixed Kirchhoff stress–displacement–pressure formulations for incompressible hyperelasticity
A conforming mixed finite element method for the Navier–Stokes/Darcy–Forchheimer coupled problem
A Divergence-Conforming DG-Mixed Finite Element Method for the Stationary Boussinesq Problem
A five-field augmented fully-mixed finite element method for the Navier–Stokes/Darcy coupled problem
A Fully-Mixed Formulation for the Steady Double-Diffusive Convection System Based upon Brinkman–Forchheimer Equations
A NEW MIXED FINITE ELEMENT METHOD FOR THE n-DIMENSIONAL BOUSSINESQ PROBLEM WITH TEMPERATURE-DEPENDENT VISCOSITY
A new mixed-FEM for steady-state natural convection models allowing conservation of momentum and thermal energy
A priori and a posteriori error analyses of a high order unfitted mixed-FEM for Stokes flow
Conservative discontinuous finite volume and mixed schemes for a new four-field formulation in poroelasticity
A Posteriori Error Analysis of a Mixed-Primal Finite Element Method for the Boussinesq Problem with Temperature-Dependent Viscosity
A posteriori error analysis of an augmented fully mixed formulation for the nonisothermal Oldroyd-Stokes problem
A posteriori error analysis of an augmented fully-mixed formulation for the stationary Boussinesq model
A High Order Mixed-FEM for Diffusion Problems on Curved Domains
A mixed-primal finite element method for the Boussinesq problem with temperature-dependent viscosity
A priori and a posteriori error analysis of an augmented mixed-FEM for the Navier-Stokes-Brinkman problem
Analysis of an augmented fully-mixed formulation for the coupling of the Stokes and heat equations
Error analysis of an augmented mixed method for the Navier-Stokes problem with mixed boundary conditions
Numerical analysis of a dual-mixed problem in non-standard banach spaces
A conforming mixed finite element method for the Navier-Stokes/Darcy coupled problem
A fully-mixed finite element method for the Navier-Stokes/Darcy coupled problem with nonlinear viscosity
A posteriori error analysis of a fully-mixed formulation for the Navier-Stokes/Darcy coupled problem with nonlinear viscosity
A posteriori error analysis of an augmented mixed-primal formulation for the stationary Boussinesq model
An augmented stress-based mixed finite element method for the steady state Navier-Stokes equations with nonlinear viscosity
Analysis of a conforming finite element method for the Boussinesq problem with temperature-dependent parameters
ANALYSIS OF AN AUGMENTED MIXED-FEM FOR THE NAVIER-STOKES PROBLEM
A priori and a posteriori error analysis of a mixed scheme for the Brinkman problem
A priori and a posteriori error analysis of a pseudostress-based mixed formulation of the Stokes problem with varying density
An augmented fully-mixed finite element method for the stationary Boussinesq problem
AN AUGMENTED MIXED FINITE ELEMENT METHOD FOR THE NAVIER-STOKES EQUATIONS WITH VARIABLE VISCOSITY
Analysis of an augmented mixed-primal formulation for the stationary Boussinesq problem
Fixed point strategies for mixed variational formulations of the stationary Boussinesq problem
LOCKING-FREE FINITE ELEMENT METHODS FOR POROELASTICITY
New fully-mixed finite element methods for the Stokes-Darcy coupling
An exactly divergence-free finite element method for a generalized Boussinesq problem
Analysis of an augmented fully-mixed approach for the coupling of quasi-Newtonian fluids and porous media
A PRIORI ERROR ANALYSIS OF A FULLY-MIXED FINITE ELEMENT METHOD FOR A TWO-DIMENSIONAL FLUID-SOLID INTERACTION PROBLEM
A twofold saddle point approach for the coupling of fluid flow with nonlinear porous media flow
A residual-based a posteriori error estimator for a fully-mixed formulation of the Stokes-Darcy coupled problem
ANALYSIS OF FULLY-MIXED FINITE ELEMENT METHODS FOR THE STOKES-DARCY COUPLED PROBLEM
Convergence of a Family of Galerkin Discretizations for the Stokes-Darcy Coupled Problem
A conforming mixed finite-element method for the coupling of fluid flow with porous media flow

Proyecto (8)

New mixed finite element methods for elasticity, poroelasticity and related problems
Concurso Apoyo a Centros Científicos y Tecnólogicos de Excelencia con Financiamiento Basal
Grupo de Investigación de Metodos Numéricos y Aplicaciones (GIMNAP)
MIXED FINITE ELEMENT METHODS FOR NAVIER-STOKES AND RELATED NONLINEAR PROBLEMS
Grupo de Investigación de Metodos Numéricos y Aplicaciones (GIMNAP)
Anillo de Investigación en Análisis Numérico de Ecuaciones Diferenciales Parciales (ANANUM)
Finite Element Methods for Problems in Solid and Fluid Mechanics
Grupo de Investigación de Metodos Numéricos y Aplicaciones (GIMNAP)
46
Ricardo Oyarzúa

Associate Professor

Mathematics

UNIVERSIDAD DEL BIO-BIO

Concepcion, Chile

19
Gabriel Gatica

Senior Researcher and Full Professor

Center for Research in Mathematical Engineering and Department of Mathematical Engineering

Universidad de Concepcion

Concepcion, Chile

6
Jessika Camaño

Associate Professor

Departamento de Matemática y Física Aplicadas

UNIVERSIDAD CATOLICA DE LA SANTISIMA CONCEPCION

Concepción, Chile

2
David Mora

Associate Professor

Department of Mathematics

UNIVERSIDAD DEL BIO-BIO

CONCEPCION, Chile

1
Luis Gatica

Associate Professor

Departamento de Matemática y Física Aplicadas

UNIVERSIDAD CATÓLICA DE LA SANTÍSIMA CONCEPCIÓN

Concepción, Chile

1
Manuel Solano

Associate Professor

Ingeniería Matemática

Universidad de Concepción

Concepcion, Chile

1
Eligio Colmenares

PROFESOR ASISTENTE

CIENCIAS BÁSICAS

Universidad del Bío-Bío

CHILLÁN , Chile

1
Verónica Anaya

Associate Professor

Universidad del Bío-Bío

CONCEPCIÓN, Chile

1
Carolina Domínguez

Profesor Auxiliar

Instituto de Ciencias Físicas y Matemáticas

Universidad Austral de Chile

Valdivia, Chile