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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 - A la fecha

Assitant Professor Full Time

Universidad del Bío-Bío

Concepción, Chile

2012 - 2021
Associate Professor Full Time

Universidad del Bío-Bío

Concepción, Chile

2021 - A la fecha

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; Caucao, Sergio; Gatica, Luis F.; 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; Torres, Hector Article ISI COMPUTERS & MATHEMATICS WITH APPLICATIONS (2023)
Error analysis for a vorticity/Bernoulli pressure formulation for the Oseen equations Anaya, Veronica; Pani, Amiya K. 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 Article ISI SIAM JOURNAL ON SCIENTIFIC COMPUTING (2022)
Velocity-vorticity-pressure formulation for the Oseen problem with variable viscosity Anaya, Veronica; Caraballo, Ruben Article ISI CALCOLO (2021)
A virtual element method for a nonlocal FitzHugh-Nagumo model of cardiac electrophysiology Anaya, Veronica; Bendahmane, Mostafa; Sepulveda, Mauricio Article ISI IMA JOURNAL OF NUMERICAL ANALYSIS (2020)
Rotation-Based Mixed Formulations for an Elasticity-Poroelasticity Interface Problem de Wijn, Zoa; Gómez-Vargas, Bryan Article SIAM Journal on Scientific Computing (2020)
Analysis and Approximation of a Vorticity-Velocity-Pressure Formulation for the Oseen Equations Bouharguane A.; Seloula N. Article ISI SCOPUS JOURNAL OF SCIENTIFIC COMPUTING (2019)
Incorporating variable viscosity in vorticity-based formulations for Brinkman equations Article ISI SCOPUS COMPTES RENDUS MATHEMATIQUE (2019)
Mixed displacement-rotation-pressure formulations for linear elasticity Anaya, V; de Wijn, Z 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. 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. 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 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 Proyecto (2021)
Aproximación numérica de ecuaciones diferenciales parciales lineales y no lineales Proyecto (2020)
Grupo de Investigación Métodos Numéricos y Aplicaciones (GIMNAP) 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