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Verónica Julia Anaya Domínguez

Associate Professor

Universidad del Bío-Bío

CONCEPCIÓN, Chile

NUMERICAL ANALYSIS OF PARTIAL DIFFERENTIAL EQUATIONS; FINITE ELEMENT METHOD;

in Applied Sciences with major in Mathematical Engineering, UNIVERSIDAD DE CONCEPCION. Chile, 2011

Assistant Professor Full Time

UNIVERSIDAD DEL BIO-BIO

Concepción, Chile

2012 - 2021
Associate Professor Full Time

UNIVERSIDAD DEL BIO-BIO

Concepcion, Chile

2021 - At present

Assitant Professor Full Time

Universidad del Bío-Bío

Concepción, Chile

2012 - 2021
Associate Professor Full Time

Universidad del Bío-Bío

Concepción, Chile

2021 - At present

Master in Mathematics with major in Applied Mathematics

Alex Altamirano Fernández
Thesis: Mathematical and Numerical Analysis for fluid equations.
University of Bio-Bio, Concepcion, Chile, August, 2018.
Advisor: Verónica Anaya D.

Ruben Caraballo Diaz
Thesis: An Augmented Formulation for Oseen and Navier-Stokes Equations with Variable Viscosity.
University of Bio-Bio, Concepcion, Chile, May, 2020.
Advisor: Verónica Anaya D.


A vorticity-based mixed formulation for the unsteady Brinkman-Forchheimer equations Anaya, Veronica; Caraballo, Ruben; Caucao, Sergio; Gatica, Luis F.; Ruiz-Baier, Ricardo; Yotov, Ivan Article ISI COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2023)
On augmented finite element formulations for the Navier-Stokes equations with vorticity and variable viscosity Anaya, Veronica; Caraballo, Ruben; Ruiz-Baier, Ricardo; Torres, Hector Article ISI COMPUTERS & MATHEMATICS WITH APPLICATIONS (2023)
Error analysis for a vorticity/Bernoulli pressure formulation for the Oseen equations Anaya, Veronica; Mora, David; Pani, Amiya K.; Ruiz-Baier, Ricardo Article ISI JOURNAL OF NUMERICAL MATHEMATICS (2022)
ROBUST A POSTERIORI ERROR ANALYSIS FOR ROTATION-BASED FORMULATIONS OF THE ELASTICITY/POROELASTICITY COUPLING Anaya, Veronica; Khan, Arbaz; Mora, David; Ruiz-Baier, Ricardo Article ISI SIAM JOURNAL ON SCIENTIFIC COMPUTING (2022)
Velocity-vorticity-pressure formulation for the Oseen problem with variable viscosity Anaya, Veronica; Caraballo, Ruben; Gomez-Vargas, Bryan; Mora, David; Ruiz-Baier, Ricardo Article ISI CALCOLO (2021)
A virtual element method for a nonlocal FitzHugh-Nagumo model of cardiac electrophysiology Anaya, Veronica; Bendahmane, Mostafa; Mora, David; Sepulveda, Mauricio Article ISI IMA JOURNAL OF NUMERICAL ANALYSIS (2020)
Rotation-Based Mixed Formulations for an Elasticity-Poroelasticity Interface Problem Anaya, Verónica; de Wijn, Zoa; Gómez-Vargas, Bryan; Mora, David; Ruiz-Baier, Ricardo Article SIAM Journal on Scientific Computing (2020)
Analysis and Approximation of a Vorticity-Velocity-Pressure Formulation for the Oseen Equations Anaya V.; Bouharguane A.; Mora D.; Reales C.; Ruiz-Baier R.; Seloula N.; Torres H. Article ISI SCOPUS JOURNAL OF SCIENTIFIC COMPUTING (2019)
Incorporating variable viscosity in vorticity-based formulations for Brinkman equations Anaya V.; GÃ³mez-Vargas B.; Mora D.; Ruiz-Baier R. Article ISI SCOPUS COMPTES RENDUS MATHEMATIQUE (2019)
Mixed displacement-rotation-pressure formulations for linear elasticity Anaya, V; de Wijn, Z; Mora, D; Ruiz-Baier, R Article ISI SCOPUS COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2019)
Vorticity-pressure formulations for the Brinkman-Darcy coupled problem Anaya, V; Mora, D; Reales, C; Ruiz-Baier, R Article Numerical Methods for Partial Differential Equations (2019)
On a vorticity-based formulation for reaction-diffusion-Brinkman systems Anaya, V; Bendahmane M.; Mora D.; Baier R.R. Article ISI SCOPUS NETWORKS AND HETEROGENEOUS MEDIA (2018)
Mixed Methods for a Stream-Function - Vorticity Formulation of the Axisymmetric Brinkman Equations Anaya V., Mora D.; Reales C., Ruiz-Baier R. Article JOURNAL OF SCIENTIFIC COMPUTING (2017)
Pure vorticity formulation and Galerkin discretization for the Brinkman equations Anaya, V; Mora, D; Ruiz-Baier, R Article IMA Journal of Numerical Analysis (2017)
A priori and a posteriori error analysis of a mixed scheme for the Brinkman problem Anaya, V; Mora, D; Oyarzúa R.; Ruiz-Baier, R Article ISI SCOPUS NUMERISCHE MATHEMATIK (2016)
A convergent finite volume method for a model of indirectly transmitted diseases with nonlocal cross-diffusion Anaya, V; Bendahmane M.; Langlais, M.; Sepúlveda M. Article ISI SCOPUS Computers and Mathematics with Applications (2015)
An augmented velocity-vorticity-pressure formulation for the Brinkman equations Anaya, V; Gatica, GN; Mora, D; Ruiz-Baier, R Article ISI SCOPUS International Journal for Numerical Methods in Fluids (2015)
NUMERICAL ANALYSIS FOR A THREE INTERACTING SPECIES MODEL WITH NONLOCAL AND CROSS DIFFUSION Anaya, V; Bendahmane M.; Sepúlveda M. Article ISI SCOPUS ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE (2015)
Pattern formation for a reaction diffusion system with constant and cross diffusion Anaya, V; Bendahmane M.; Langlais, M.; Sepúlveda M. Article SCOPUS Lecture Notes in Computational Science and Engineering (2015)
STABILIZED MIXED APPROXIMATION OF AXISYMMETRIC BRINKMAN FLOWS Anaya, V; Mora, D; Reales, C; Ruiz-Baier, R Article ISI SCOPUS ESAIM: Mathematical Modelling and Numerical Analysis (2015)
An augmented mixed finite element method for the vorticity-velocity-pressure formulation of the Stokes equations Anaya, V; Mora, D; Ruiz-Baier, R Article ISI SCOPUS Computer Methods in Applied Mechanics and Engineering (2013)
A NUMERICAL ANALYSIS OF A REACTION-DIFFUSION SYSTEM MODELING THE DYNAMICS OF GROWTH TUMORS Anaya, V; Bendahmane M.; Sepúlveda M. Article ISI SCOPUS Mathematical Models and Methods in Applied Sciences (2010)
MATHEMATICAL AND NUMERICAL ANALYSIS FOR PREDATOR-PREY SYSTEM IN A POLLUTED ENVIRONMENT Anaya, V; Bendahmane M.; Sepúlveda M. Article ISI SCOPUS Networks and Heterogeneous Media (2010)


Finite Element Methods for New Vorticity Formulations in Fluid Mechanics Anaya, VerÓnica J. Proyecto (2021)
Grupo de Investigación en Métodos Numéricos y Aplicaciones (GIMNAP) Anaya, Veronica Proyecto (2021)
Virtual elemet methods for different Bidomain models for cardiac electrophysiology Anaya, VerÓnica J. Proyecto (2021)
Aproximación numérica de ecuaciones diferenciales parciales lineales y no lineales Anaya, VerÓnica J. Proyecto (2020)
Grupo de Investigación Métodos Numéricos y Aplicaciones (GIMNAP) Villada L.M. Proyecto (2019)
Grupo de Investigación Métodos Numéricos y Aplicaciones (GIMNAP) Dirección de Investigación, Universidad del Bío-Bío (hjk) Proyecto 2017-2019 Coinvestigador(a)
Análisis matemático y numérico de modelos no lineales en dinámica de poblaciones y mecánica de fluídos Universidad del Bío-Bío (165608 3/R) Proyecto 2016-2017 Inv. Principal
MATHEMATICAL AND NUMERICAL ANALYSIS FOR LINEAR AND NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS FONDECYT (11160706) Proyecto 2016-2019 Inv. Responsable
Grupo de Investigación Métodos Numéricos y Aplicaciones (GIMNAP) Dirección de Investigación, Universidad del Bío-Bío (151408 GI/VC) Proyecto 2015-2016 Coinvestigador(a)
Grupo de Investigación Métodos Numéricos y Aplicaciones (GIMNAP) Dirección de Investigación, Universidad del Bío-Bío (120808 GI/EF) Proyecto 2013-2014 Coinvestigador(a)
ANÁLISIS MATEMÁTICO Y NUMÉRICO DE ECUACIONES DIFERENCIALES PARABÓLICAS CON APLICACIÓN EN DINÁMICA DE POBLACIONES. PAI (79112012) Proyecto 2012-2014 Inv. Principal
ANALYSIS AND ERROR ESTIMATES FOR FINITE VOLUME AND FINITE VOLUME ELEMENT SCHEMES FOR REACTION-DIFFUSION SYSTEMS WITH APPLICATION IN POPULATION DYNAMICS. FONDECYT (3120197) Proyecto 2011-2014 Inv. Responsable