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David Andrés Mora Herrera

Associate Professor

UNIVERSIDAD DEL BIO-BIO

CONCEPCION, Chile

Líneas de Investigación


NUMERICAL ANALYSIS OF PARTIAL DIFFERENTIAL EQUATIONS; NUMERICAL APPROXIMATION OF FLUID AND SOLID MECHANICS PROBLEMS; FINITE ELEMENTS METHOD; VIRTUAL ELEMENT METHOD;

Educación

  •  PhD in Applied Sciences with major in Mathematical Engineering, UNIVERSIDAD DE CONCEPCION. Chile, 2010
  •  Mathematical Engineering, UNIVERSIDAD DE CONCEPCION. Chile, 2006

Experiencia Académica

  •   Assistant Professor Full Time

    UNIVERSIDAD DEL BIO-BIO

    Faculty of Science

    Concepción, Chile

    2010 - 2015

  •   Associate Professor Full Time

    UNIVERSIDAD DEL BIO-BIO

    Faculty of Science

    Concepción, Chile

    2016 - At present

  •   Associate Researcher Other

    UNIVERSIDAD DE CHILE

    Facultad de Ciencias Físicas y Matemáticas

    Santiago, Chile

    2018 - At present

Experiencia Profesional

  •   Mathematics Study Group Other

    ANID

    Santiago, Chile

    2018 - 2020

  •   Associate Editor Other

    Global Science Press: East Asian Journal on Applied Mathematics

    Hong Kong

    2021 - At present

  •   Associate Editor Other

    Spanish Society of Applied Mathematics: SEMA Journal

    España

    2021 - At present

Formación de Capital Humano


PhD in Applied Mathematics, Universidad del Bío-Bío

Alberth Silgado Ballesta
Thesis: Conforming and Nonconforming Virtual Element Methods for Problems in Fluid Mechanics.
University of Bio-Bio, Concepción, Chile, February 2014.
Advisor: David Mora.
Co-advisor: Lourenco Beirão da Veiga.

PhD in Applied Sciences with major in Mathematical Engineering, Universidad de Concepción.

Iván Velásquez Ramos
Thesis: Virtual Element Method for Problems in Solid Mechanics.
University of Concepción, Concepción, Chile, November 2019.
Advisor: David Mora.
Co-advisors: Carlos Lovadina and Rodolfo Rodríguez.

Felipe Lepe Araya
Thesis: Problems of Vibrations, Acoustics and Dissipation.
University of Concepción, Concepción, Chile, January 2018.
Advisor: Rodolfo Rodríguez.
Co-advisors: Salim Meddahi and David Mora.

Gonzalo Rivera
Thesis: Virtual Element Methods for Spectral Problems.
University of Concepción, Concepción, Chile, September 2016.
Advisor: Rodolfo Rodríguez.
Co-advisors: Lourenco Beirão da Veiga and David Mora.

Master in Mathematics with major in Applied Mathematics

Alberth Silgado
Thesis: Virtual Element Methods for Fluid Flow Problems.
University of Bío-Bío, Concepción, Chile, November 2019.
Advisor: David Mora.
Co-advisor: Carlos Reales.

Juan Ortega
Thesis: Finite Element Methods for Beam Problems.
University of Bío-Bío, Concepción, Chile, August 2018.
Advisor: David Mora.

Ángel Vásquez
Thesis: Finite Element Analysis for a Fluid-Solid Interaction Problem.
University of Bío-Bío, Concepción, Chile, September 2017.
Advisor: David Mora.

Iván Velásquez
Thesis: Finite Element Method for Thin Structurs.
University of Bío-Bío, Concepción, Chile, September 2016.
Advisor: David Mora.

Sergio Caucao
Thesis: Analysis of a Mixed Finite Element Method for the Stokes Problem with Variable Density.
University of Bío-Bío, Concepción, Chile, April 2014.
Advisor: Ricardo Oyarzúa.
Co-advisor: David Mora.

Felipe Millar
Thesis: Finite Element Method for Thin Plates.
University of Bío-Bío, Concepción, Chile, January 2014.
Advisor: David Mora.

Felipe Lepe
Thesis: Numerical Analysis for Beam models.
University of Bío-Bío, Concepción, Chile, April 2013.
Advisor: David Mora.
Co-advisor: Rodolfo Rodríguez.


Difusión y Transferencia


Invited Lectures (International)

25) Invited Speaker: Virtual Element for the Transmission Eigenproblem.
MASC+: Major Advances in numerical Schemes for Conservation laws + other topics.
Hotel Nevados de Chillán, Chillán, Chile, September 6-8, 2023.

24) Stream virtual element methods for the Brinkman system with pressure recovery.
ICOSAHOM 2023: International Conference on Spectral and High Order Methods.
MS: Numerical Methods for Problems in Continuum Mechanics and Related Applications (D.M. and R. Ruiz-Baier),
Yonsei University, Seoul, Korea, August 14-18, 2023.

23) Plenary Speaker: Virtual Element Methods for Fluid Flow Problems.
XXXV Jornada de Matemática de la Zona Sur (JMZS 2023).
Universidad de Concepción, Concepción, Chile, Abril 18-21, 2023.

22) Invited Speaker: Stream virtual element methods for the Brinkman equations.
POEMS2022: Polytopal Element Methods in Mathematics and Engineering.
Politecnico di Milano, Leonardo Campus - Aula Rogers, Milano, Italy, December 12 - 14, 2022.

21) Invited Speaker: A virtual element method for problems in fluid mechanics.
International Conference on Computational Partial Differential Equations and Applications (ICCPDEA-2022).
BML Munjal University, India, September 06-08, 2022 (ZOOM Conference).

20) A virtual element method for the Brinkman equations (co-authors: C. Reales, A. Silgado).
DSALT 2022: Primer Workshop sobre Métodos Computacionales para Procesos de Desalinización.
Hotel Terrano, Concepción, Chile, Agosto 10, 2022.

19) Virtual element for fourth order eigenvalue problems.
Numerical Analysis Internal Seminar, CARMEN RESEARCH GROUP.
Research Center INRIA Bordeaux, Bordeaux, Francia, March 17, 2022.

18) Virtual element spectral analysis for the transmission eigenvalue problem.
VI Congreso Latinoamericano de Matemáticos (CLAM 2021).
Universidad de la República, Montevideo, Uruguay, Septiembre 13 - 17, 2021.

17) Virtual elements for the transmission eigenvalue problem (co-author: I. Velásquez).
INdAM Workshop: Polygonal Methods for PDEs: Theory and Applications.
Online Conference, May 17 - 19, 2021.

16) Virtual element for the vibration problem of thin plates.
French Latin-American Conference on New Trends in Applied Mathematics (FLACAM 2019).
Center for Mathematical Modeling (CMM), Universidad de Chile, Santiago, Chile, November 05-08, 2019.

15) Virtual element for the transmission eigenvalue problem.
Minisymposium: Polygonal and Polyhedral Methods in Applied Mathematics. Organizers: D. Mora, M. Verani.
9th International Congress on Industrial and Applied Mathematics (ICIAM 2019).
Universidad de Valencia, Valencia, Spain, July 15-19, 2019.

14) Virtual element approximation for the transmission eigenvalue problem.
Workshop International: Modélisation et Calcul pour la Biomathématique.
Ecole Supérieure de Technologie d'Essaouira, Essaouira, Maroc, July 08-10, 2019.

13) A VEM discretization for the transmission eigenvalue problem.
Numerical Analysis Group Internal Seminar, Mathematical Institute.
Oxford University, Oxford, UK, March 05, 2019.

12) A virtual element method for a shear-deflection formulation of Reissner-Mindlin plates
The 18th International Symposium on Scientific Computing (SCAN2018@TOKYO).
Waseda University, Tokyo, Japan, September 10-15, 2018.

11) A virtual element discretization for the vibration problem of thin plates.
European Conference on Numerical Mathematics and Advanced Applications (ENUMATH 2017).
University of Bergen, Voss, Norway, September 25-29, 2017.

10) A virtual element method for the vibration problem of Kirchhoff plates.
Polytopal Element Methods in Mathematics and Engineering (POEMS 2017).
University of Milano Bicocca, Milan, Italy, July 5-7, 2017.

9) A mixed FEM for a vorticity formulation of the Brinkman equations.
Minisymposium: Numerical Methods for Viscous Flow in Porous Media.
The Mathematics of Finite Elements and Applications (MAFELAP 2016).
Brunel Institute of Computational Mathematics, June 14 - 17, 2016. Londres, United Kingdom.

8) A virtual element method for the acoustic vibration problem.
Minisymposium: High-Order Methods for Polygonal and Polyhedral Meshes.
European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2016).
University of Athens, June 5--10, 2016. Crete Island, Greece.

7) A mixed FEM for a vorticity based formulation of the Brinkman problem.
Minisymposium: Discretization and Solution Techniques for the Coupling of Fluid Flows with Porous Media.
Fifth Chilean Workshop on Numerical Analysis of Partial Differential Equations (WONAPDE 2016).
Universidad de Concepción, January 11 - 15, 2016. Concepción, Chile.

6) Virtual element approximation of the Steklov eigenvalue problem.
Minisymposium: Polygonal and Polyhedral Methods.
Extended Discretization Methods (X-DMS 2015).
University of Ferrara, September 9--11, 2015. Ferrara, Italy.

5) A virtual element method for a Steklov eigenvalue problem.
Building Bridges: Connections and Challenges in Modern Approaches to Numerical Partial Differential Equations, EPSRC Durham Symposium,
University of Durham, July 8--16, 2014. Durham - UK.

Invited Lectures (National)

4) A C^1 virtual element analysis for the transmission eigenvalue problem.
XXVIII Congreso de Matemáticas Capricornio (COMCA 2019).
Universidad de La Serena, La Serena, Chile, July 31-August 02, 2019.

3) A virtual element approximation of the elasticity eigenproblem.
XXVII Congreso de Matemáticas Capricornio (COMCA 2018).
Universidad de Antofagasta, Antofagasta, Chile, July 25-27, 2018.

2) Virtual elements for a shear-deflection formulation of Reissner-Mindlin plates.
XXXI Jornada de Matemática de la Zona Sur (JMZS 2018).
Universidad Austral de Chile, Valdivia, Chile, April 25-27, 2018.

1) A mixed finite element method for a vorticity based formulation of the Brinkman problem.
LXXXIV Encuentro Anual Sociedad de Matemática de Chile, SOMACHI 2015.
November 26-28, 2015, Pucón - Chile.

Invited Minicourses

Introduction to the Finite Element Method (8 hours)
First International Conference in Sciences.
Universidad de Córdoba, Montería, Colombia, November 04-06, 2020.

The Finite Element Method (8 hours)
First Spring School in Mathematics.
Universidad del Bío-Bío, Concepción, Chile, October, 2018.

Event Organization:

1) Seminar on Numerical Analysis and Mathematical Modeling (co-organizer):
Center for Research in Mathematical Engineering (CI2MA) and Departamento de Matemática, Universidad
del Bío-Bío, September 2012 - At present.

2) Latest Advances in Numerical Solutions with FEM (LANUS-FEM). On the Occasion of Rodolfo Rodríguez's 60th Birthday.
Center for Research in Mathematical Engineering (CI2MA), September 03 - 05, 2014, Puerto Varas - Chile.

Research Visits:

27.- Bordeaux University, Bordeaux, France, February 11-28, 2024. Host: Prof. Mostafa Bendahmane.

26.- Yonsei University, Seoul, Korea, August 07-19, 2023. Host: Prof. Eun-Jae Park.

25.- Bordeaux University, Bordeaux, France, February 05-28, 2023. Host: Prof. Mostafa Bendahmane.

24.- Universita degli Studi di Milano-Bicocca, Milano, Italy, December 07-19, 2022. Host: Prof. Lourenco Beirao da Veiga.

23.- Bordeaux University, Bordeaux, France, February 05-28, 2022. Host: Prof. Mostafa Bendahmane.

22.- Institut de Mathématiques de Bordeaux, Université de Bordeaux, Bordeaux, France. July 2019.

21.- Dipartimento di Matematica e Applicazioni, Università di Milano-Bicocca, Italy. July 2019.

20.- Oxford University, Oxford, United Kingdom, February 05-28, 2019. Host: Prof. Ricardo Ruiz-Baier.

19.- Waseda University, Tokyo, Japan, September 06-22, 2018. Host: Prof. Naoya Yamanaka.

18.- Universita degli Studi di Milano, Milano, Italy, July 2018. Host: Prof. Lourenco Beirao da Veiga.

17.- Bordeaux University, Bordeaux, France, October 27 - November 20, 2017. Host: Prof. Mostafa Bendahmane.

16.- Universita di Milano-Bicocca, Milano, Italy, October 01-26, 2017. Host: Prof. Lourenco Beirao da Veiga.

15.- Universita di Milano-Bicocca, Milano, Italy, July 03-10, 2016. Host: Prof. Lourenco Beirao da Veiga.

14.- Universidad de Cordoba, Monteria, Colombia, January 16-31, 2017. Host: Prof. Carlos Reales.

13.- Bordeaux University, Bordeaux, France, June 29 - July 14, 2016. Host: Prof. Mostafa Bendahmane.

12.- Universita di Milano-Bicocca, Milano, Italy, June 11-28, 2016. Host: Prof. Lourenco Beirao da Veiga.

11.- Oxford University, Oxford, United Kingdom, March 13 - April 04, 2016. Host: Prof. Ricardo Ruiz-Baier.

10.- Universita degli Studi di Milano, Milano, Italy, September 06-30, 2015. Host: Prof. Lourenco Beirao da Veiga.

9.- Universite de Lausanne, Lausanne, Suiza, January 25 - February 19, 2015. Host: Prof. Ricardo Ruiz-Baier.

8.- Universita degli Studi di Milano, Milano, Italy, June 23 - July 18, 2014. Host: Prof. Lourenco Beirao da Veiga.

7.- Institut des Sciences de la Terre, Faculté des Géosciences ed de l’Environnement, Université de Lausanne,
Switzerland. February 2014. Host: Prof. Ricardo Ruiz-Baier.

6.- Universita degli Studi di Milano, Milano, Italy, June 08 - July 19, 2013. Host: Prof. Lourenco Beirao da Veiga.

5.- Ecole Polythechnique Federale de Lausanne, Lausanne, Switzerland, February 21 - March 16, 2013. Host: Prof. Ricardo Ruiz-Baier.

4.- Universita degli Studi di Milano, Milano, Italy, June 15 - July 21, 2012. Host: Prof. Lourenco Beirao da Veiga.

3.- Universita degli Studi di Milano, Milano, Italy, June 16 - July 20, 2011. Host: Prof. Lourenco Beirao da Veiga.

2.- Universita degli Studi di Pavia, Pavia, Italy, October 01 - November 30, 2009. Host: Prof. Carlo Lovadina.

1.- Universita degli Studi di Pavia, Pavia, Italy, September 01 - November 30, 2008. Host: Prof. Carlo Lovadina.


Premios y Distinciones

  •   Líderes del Sur

    DIARIO EL SUR

    Chile, 2010

    It is a distinction for fifty young people from the Biobío Region, who have stood out for their work, preparation and contribution to the community during the year.


 

Article (63)

Discontinuous Galerkin methods for the acoustic vibration problem
Mixed variational formulations of virtual elements for the polyharmonic operator (-Δ)<SUP>n</SUP>
Numerical Solution of the Biot/Elasticity Interface Problem Using Virtual Element Methods
The Morley-type virtual element method for the Navier-Stokes equations in stream-function form
A C0-nonconforming virtual element methods for the vibration and buckling problems of thin plates
A fully-discrete virtual element method for the nonstationary Boussinesq equations in stream-function form
A Morley-type virtual element approximation for a wind-driven ocean circulation model on polygonal meshes
A posteriori virtual element method for the acoustic vibration problem
Conforming and nonconforming virtual element methods for fourth order nonlocal reaction diffusion equation
Nonconforming virtual element discretization for the transmission eigenvalue problem
A C-1 virtual element method for the stationary quasi-geostrophic equations of the ocean
A C-1-virtual element method of high order for the Brinkman equations in stream function formulation with pressure recovery
Convergence Analysis of Virtual Element Method for Nonlinear Nonlocal Dynamic Plate Equation
Error analysis for a vorticity/Bernoulli pressure formulation for the Oseen equations
ROBUST A POSTERIORI ERROR ANALYSIS FOR ROTATION-BASED FORMULATIONS OF THE ELASTICITY/POROELASTICITY COUPLING
A C-1 - C-0 conforming virtual element discretization for the transmission eigenvalue problem
A virtual element discretization for the time dependent Navier-Stokes equations in stream-function formulation
A Virtual Element Method for the Steklov Eigenvalue Problem Allowing Small Edges
A virtual element method for the von Karman equations
Velocity-vorticity-pressure formulation for the Oseen problem with variable viscosity
Virtual element methods for the three-field formulation of time-dependent linear poroelasticity
VIRTUAL ELEMENTS FOR THE TRANSMISSION EIGENVALUE PROBLEM ON POLYTOPAL MESHES
A priori and a posteriori error estimates for a virtual element spectral analysis for the elasticity equations
A virtual element method for a nonlocal FitzHugh-Nagumo model of cardiac electrophysiology
ROTATION-BASED MIXED FORMULATIONS FOR AN ELASTICITY-POROELASTICITY INTERFACE PROBLEM
SYMMETRIC AND NONSYMMETRIC DISCONTINUOUS GALERKIN METHODS FOR A PSEUDOSTRESS FORMULATION OF THE STOKES SPECTRAL PROBLEM
Virtual element for the buckling problem of Kirchhoff–Love plates
ACOUSTIC VIBRATION PROBLEM FOR DISSIPATIVE FLUIDS
Analysis and Approximation of a Vorticity-Velocity-Pressure Formulation for the Oseen Equations
Incorporating variable viscosity in vorticity-based formulations for Brinkman equations
Mixed discontinuous Galerkin approximation of the elasticity eigenproblem
Mixed displacement-rotation-pressure formulations for linear elasticity
The Stokes Complex for Virtual Elements with Application to Navier-Stokes Flows
VIRTUAL ELEMENTS FOR A SHEAR-DEFLECTION FORMULATION OF REISSNER-MINDLIN PLATES
Vorticity-pressure formulations for the Brinkman-Darcy coupled problem
A virtual element method for the transmission eigenvalue problem
A VIRTUAL ELEMENT METHOD FOR THE VIBRATION PROBLEM OF KIRCHHOFF PLATES
On a vorticity-based formulation for reaction-diffusion-Brinkman systems
A posteriori error estimates for a virtual element method for the Steklov eigenvalue problem
A virtual element method for the acoustic vibration problem
Mixed methods for a stream-function-vorticity formulation of the axisymmetric Brinkman equations
Pure vorticity formulation and Galerkin discretization for the Brinkman equations
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
Finite Element Analysis of a Bending Moment Formulation for the Vibration Problem of a Non-homogeneous Timoshenko Beam
NONCONFORMING MIXED FINITE ELEMENT APPROXIMATION OF A FLUID-STRUCTURE INTERACTION SPECTRAL PROBLEM
A finite element analysis of a pseudostress formulation for the Stokes eigenvalue problem
A finite element method for the buckling problem of simply supported Kirchhoff plates
A Virtual Element Method for elastic and inelastic problems on polytope meshes
A virtual element method for the Steklov eigenvalue problem
An augmented velocity-vorticity-pressure formulation for the Brinkman equations
STABILIZED MIXED APPROXIMATION OF AXISYMMETRIC BRINKMAN FLOWS
A STREAM VIRTUAL ELEMENT FORMULATION OF THE STOKES PROBLEM ON POLYGONAL MESHES
Finite element analysis for a pressure-stress formulation of a fluid-structure interaction spectral problem
Locking-free finite element method for a bending moment formulation of Timoshenko beams
An augmented mixed finite element method for the vorticity-velocity-pressure formulation of the Stokes equations
FINITE ELEMENT SPECTRAL ANALYSIS FOR THE MIXED FORMULATION OF THE ELASTICITY EQUATIONS
Numerical analysis of a locking-free mixed finite element method for a bending moment formulation of Reissner-Mindlin plate model
Numerical results for mimetic discretization of Reissner-Mindlin plate problems
A LOCKING-FREE FINITE ELEMENT METHOD FOR THE BUCKLING PROBLEM OF A NON-HOMOGENEOUS TIMOSHENKO BEAM
A mimetic discretization of the Reissner-Mindlin plate bending problem
APPROXIMATION OF THE BUCKLING PROBLEM FOR REISSNER-MINDLIN PLATES
A PIECEWISE LINEAR FINITE ELEMENT METHOD FOR THE BUCKLING AND THE VIBRATION PROBLEMS OF THIN PLATES

Proyecto (15)

Mathematical and Computational Analysis of Solid and Fluid Mechanics.
Numerical Analysis of Virtual Element Methods for Problems in Solid and Fluid Mechanics
Anillo of Computational Mathematics for Desalination Processes
VIRTUAL ELEMENT METHOD FOR NONLINEAR METHODS
Concurso Apoyo a Centros Científicos y Tecnólogicos de Excelencia con Financiamiento Basal
Development and Mathematical Analysis of Virtual Element Methods to Linear and Nonlinear Problems in Continuum Mechanics and Related Applications
Grupo de Investigación Métodos Numéricos y Aplicaciones (GIMNAP)
Development and Analysis of Numerical Methods Applied to Models in Fluid and Solid Mechanics
Development and Analysis of Numerical Methods Applied to Models in Fluid and Solid Mechanics
Anillo de Investigación en Análisis Numérico de Ecuaciones Diferenciales Parciales
Anillo de Investigación en Análisis Numérico de Ecuaciones Diferenciales Parciales
Análisis matemático y numérico de ecuaciones diferenciales parabólicas con aplicación en dinámica de poblaciones. Investigador Patrocinante.
Análisis Matemático y Numérico de Ecuaciones Diferenciales Parabólicas con Aplicación en Dinámica de Poblaciones
Numerical analysis of dynamic and static problems in solid mechanics
Numerical Analysis of Dynamic and Static Problems in Solid Mechanics
70
David Mora

Associate Professor

Department of Mathematics

UNIVERSIDAD DEL BIO-BIO

CONCEPCION, Chile

13
Verónica Anaya

Associate Professor

Universidad del Bío-Bío

CONCEPCIÓN, Chile

12
Rodolfo Rodriguez

Full Professor

Ingeniería Matemática

UNIVERSIDAD DE CONCEPCION

Concepción, Chile

6
Gonzalo Rivera

Académico

Ciencias Exactas

Universidad de Los Lagos

Osorno, Chile

5
Felipe Lepe

Assistant Professor

Mathematics

Universidad del Bío-Bío

Concepción, Chile

2
Ricardo Oyarzúa

Associate Professor

Mathematics

UNIVERSIDAD DEL BIO-BIO

Concepcion, Chile

1
Raimund Bürger

Profesor Titular (Full Professor)

CI2MA & Departamento de Ingeniería Matemática

UNIVERSIDAD DE CONCEPCIÓN

Concepción, Chile

1
Gabriel Gatica

Senior Researcher and Full Professor

Center for Research in Mathematical Engineering and Department of Mathematical Engineering

Universidad de Concepcion

Concepcion, Chile

1
Mauricio Sepúlveda

Profesor Titular

Department of Mathematical Engineering

Universidad de Concepción

Concepción, Chile

1
Hector Torres

Académico

Matemáticas

UNIVERSIDAD DE LA SERENA

La Serena, Chile