NUMERICAL ANALYSIS OF PARTIAL DIFFERENTIAL EQUATIONS; NUMERICAL APPROXIMATION OF FLUID AND SOLID MECHANICS PROBLEMS; VIRTUAL ELEMENT METHOD; NONLINEAR AND TIME-DEPENDENT PROBLEMS; MULTIPHYSICS AND BIOLOGICAL APPLICATIONS.

Master's Degree in Applied Mathematics, University of Bío-Bío (UBB)

Limberg Tola Mayta
Thesis: Virtual Element Methods for Fluid Problems Using the Stream Function
University of Bío-Bío, Concepción, Chile, April 2019
Advisor: David Mora
Co-advisor: Alberth Silgado.

Master's Degree in Applied Mathematics, University of Bío-Bío (UBB)

Dayán Suárez Muñoz
Thesis: Virtual Element Methods for the Evolutionary Stommel–Munk Problem
University of Bío-Bío, Concepción, Chile. In progress
Advisor: Alberth Silgado
Co-advisor: David Mora.

Invited Lectures (International)

10) Nonconforming Virtual Elements for Nonlinear Time-Dependent Fourth-Order Problems.
In International Conference on Computational Methods in Applied Mathematics (CMAM 2026).
Vienna, Austria, July 20-24, 2026.

9) Numerical Solution of Fluid Mechanics Problems Using the Virtual Element Method.
In IV Seminario de Aplicaciones de las Ciencias Básicas en las Ingenierías.
Universidad del Sinú, Montería, Colombia, October 7, 2025 (online).

8) Conforming stream virtual element approximations for fluid flow problems.
In Polytopal Element Methods in Mathematics and Engineering (POEMS2024).
Inria Paris, Paris, France, December 3-6, 2024.

7) A nonconforming stream virtual element discretization for the Navier-Stokes equations.
In Minisymposium: Advancements in Polytopal Methods, Seventh Chilean Workshop on Numerical Analysis of Partial Differential Equations.
Universidad de Concepción, Concepción, Chile, January 15-19, 2024.

6) A fully-discrete virtual element approximation for time evolution thermal convection problems in stream-function-temperature form.
In Minisymposium: Numerical Methods for Problems in Continuum Mechanics and Related Applications, International Conference on Spectral and High Order Methods (ICOSAHOM 2023).
Yonsei University, Seoul, Korea, August 14-18, 2023.

5) A virtual element scheme for the Brinkman model of porous media flow.
In NumerIcal aNalysis, porous media and waTer ResoUrceS: a fruItful cOntamiNation (Intrusion2023).
Università and Politecnico di Bari, Bari, Italy, July 3-5, 2023.

4) A fully-discrete virtual element approximation for the time-dependent Boussinesq system.
In SIAM Conference on Mathematical & Computational Issues in the Geosciences (GS23).
Radisson Blu Royal Hotel, Bergen, Norway, June 19-22, 2023.

3) Numerical Method of Virtual Elements for Problems in Fluid Mechanics.
In Workshop en Ciencias Básicas Unisinú 2023.
Universidad del Sinú, Montería, Colombia, February 23, 2023.

2) A $C^1$ virtual element for the steady Quasi-Geostrophic equations of the ocean.
In Virtual Element Method Seminar.
Istituto di Matematica Applicata e Tecnologie Informatiche (IMATI), Pavia, Italy, July 21, 2022.

1) A virtual element method for the Brinkman equations.
In I Congreso Internacional de Ciencias Básicas (COICIBA 2020).
Online conference, Facultad de Ciencias Básicas, Universidad de Córdoba, Montería, Colombia, November 4-7, 2020.

Invited Lectures (National)

12) Conforming virtual elements for the biharmonic problem on polygonal meshes with curved edges.
In XXXV Jornada de Matemática de la Zona Sur.
Universidad del Bío-Bío, Concepción, Chile, April 22-24, 2026.

11) Nonconforming Virtual Element Methods for Fourth-Order Problems with Applications in Fluid Dynamics.
In Workshop Interdisciplinar UBB.
Universidad del Bío-Bío, Concepción, Chile, November 26-27, 2025.

10) Conforming and Nonconforming Virtual Element Methods for Problems in Continuum Mechanics.
In Seminario, Centro de Ciencias Exactas (CCE).
Universidad del Bío-Bío, Chillán, Chile, October 27, 2025.

10) Numerical Approximation of Fluid Flow Problems Using Conforming Virtual Element Schemes.
In Seminario en Análisis Numérico del Bío-Bío (SABIO).
Universidad del Bío-Bío, Concepción, Chile, September 11, 2025.

9) The Virtual Element Method: Some Theoretical Aspects and Applications to Fluid Flow Problems.
In Seminario DMAT.
Universidad Técnica Federico Santa María, Santiago, Chile, December 13-15, 2023.

8) Virtual Element Methods for the Time Evolution Boussinesq Equations.
In COMCA 2023: XXXI Congreso de Matemática Capricornio.
Universidad Católica del Norte, Antofagasta, Chile, August 2-4, 2023.

7) A Virtual Element Scheme for the Unsteady Boussinesq Equations.
In XXXV Jornada de Matemática de la Zona Sur.
Universidad de Concepción, Concepción, Chile, April 19-21, 2023.

6) Computational Methods for Problems in Fluid Mechanics.
In Primer Workshop en Matemática Aplicada Multidisciplinar UBB 2022.
Universidad del Bío-Bío, Concepción, Chile, November 23-25, 2022.

5) A Virtual Element Approximation for the Navier-Stokes Equations.
In XXX Congreso de Matemáticas Capricornio (COMCA 2022).
Universidad de Iquique, Iquique, Chile, August 3-5, 2022.

4) Virtual Element Discretization for a Large-Scale Ocean Circulation Model.
In Escuela de Primavera en Matemática Aplicada (EPRIMA 2021).
Online, Departamento de Matemática, Universidad del Bío-Bío, Concepción, Chile, October 18-22, 2021.

3) Virtual Element for the Stationary Quasi-Geostrophic Equations of the Ocean.
In XXIX Congreso de Matemáticas Capricornio (COMCA 2021).
Online conference, Departamento de Matemática, Universidad de Atacama, Atacama, Chile, July 28-29, 2021.

2) A Virtual Element Discretization of the Brinkman Problem in Stream-Function Formulation.
In Seminario de Estudiantes de Postgrado en Matemática y Ciencias Aplicadas, UBB.
Departamento de Matemática, Universidad del Bío-Bío, Concepción, Chile, November 27, 2019.

1) A Virtual Element Discretization of the Brinkman Problem in Stream-Function Formulation.
In XXVIII Congreso de Matemáticas Capricornio (COMCA 2019).
Universidad de La Serena, La Serena, Chile, July 31-August 2, 2019.

Scientific Outreach and Dissemination Activities:

1) Trayectoria en Matemáticas.
Centro de Graduados, Magíster en Matemática Aplicada.
Universidad del Bío-Bío, Concepción, Chile, 19 de junio de 2026.