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Felipe Andrés Lepe Araya

Assistant Professor

Universidad del Bío-Bío

Concepción, Chile

Líneas de Investigación


My main research field is numerical analysis of partial differential equations and related problems. These problems are related to develop and analyze numerical methods to approximate the solutions of fluid and solid mechanics problems.

Educación

  •  Mathematics, UNIVERSIDAD DE CONCEPCION. Chile, 2018
  •  Education, UNIVERSIDAD DE CONCEPCION. Chile, 2010
  •  Profesor de Matemática y Educación Tecnológica, UNIVERSIDAD DE CONCEPCION. Chile, 2010
  •  Mathematics, UNIVERSIDAD DEL BIO-BIO. Chile, 2017

Experiencia Académica

  •   Research Assitant Part Time

    UNIVERSIDAD DEL BIO-BIO

    Ciencias

    Concepción, Chile

    2017 - 2018

  •   Post doctoral position Full Time

    UNIVERSIDAD TECNICA FEDERICO SANTA MARIA

    Santiago, Chile

    2019 - 2020

  •   Assistant Professor Full Time

    UNIVERSIDAD DEL BIO-BIO

    Sciences

    Concepción, Chile

    2020 - A la fecha

Experiencia Profesional

  •   Post-doct Full Time

    Universidad Técnica Federico Santa María

    Santiago, Chile

    2019 - 2020

  •   Assistant professor Full Time

    Universidad del Bío-Bío

    Concepción, Chile

    2020 - A la fecha


 

Article (18)

A posteriori virtual element method for the acoustic vibration problem

Lepe, F.; Mora, D.; Rivera, G.; Velasquez, I.

Article ISI
ADVANCES IN COMPUTATIONAL MATHEMATICS  (2023)

A virtual element method for the elasticity problem allowing small edges.

Danilo Amigo; Felipe Lepe; Gonzalo Rivera

Article
CALCOLO  (2023)

An optimal control problem for the stationary Navier--Stokes equations with point sources.

Fuica, Francisco; Lepe, Felipe; Otarola, Enrique; Quero, Daniel

Article
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS  (2023)

Displacement-pseudostress formulation for the linear elasticity spectral problem

Inzunza, Daniel; Lepe, Felipe; Rivera, Gonzalo

Article ISI
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS  (2023)

Error estimates for a vorticity-based velocity-stress formulation of the Stokes eigenvalue problem

Lepe, Felipe; Rivera, Gonzalo; Vellojin, Jesus

Article ISI
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS  (2023)

A Posteriori Analysis for a Mixed FEM Discretization of the Linear Elasticity Spectral Problem

Lepe, Felipe; Rivera, Gonzalo; Vellojin, Jesus

Article ISI
JOURNAL OF SCIENTIFIC COMPUTING  (2022)

Mixed Methods for the Velocity-Pressure-Pseudostress Formulation of the Stokes Eigenvalue Problem

Lepe, Felipe; Rivera, Gonzalo; Vellojin, Jesus

Article
SIAM JOURNAL ON SCIENTIFIC COMPUTING  (2022)

A posteriori error estimates in W1,p × Lp spaces for the Stokes system with Dirac measures

Fuica, Francisco; Lepe, Felipe; Otárola E.; Quero, Daniel

Article
COMPUTERS AND MATHEMATICS WITH APPLICATIONS  (2021)

A priori error analysis for a mixed VEM discretization of the spectral problem for the Laplacian operator

Lepe, Felipe; Rivera, Gonzalo

Article ISI
CALCOLO  (2021)

A virtual element approximation for the pseudostress formulation of the Stokes eigenvalue problem

Lepe, Felipe; Rivera, Gonzalo

Article ISI
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING  (2021)

A Virtual Element Method for the Steklov Eigenvalue Problem Allowing Small Edges

Lepe, Felipe; Mora, David; Rivera, Gonzalo; Velasquez, Ivan

Article ISI
JOURNAL OF SCIENTIFIC COMPUTING  (2021)

Error Estimates for FEM Discretizations of the Navier–Stokes Equations with Dirac Measures

Lepe, Felipe; Otarola, Enrique; Quero, Daniel

Article
JOURNAL OF SCIENTIFIC COMPUTING  (2021)

Symmetric and Nonsymmetric Discontinuous Galerkin Methods for a Pseudostress Formulation of the Stokes Spectral Problem

Lepe, Felipe; Mora, David

Article ISI
SIAM Journal on Scientific Computing  (2020)

Mixed discontinuous Galerkin approximation of the elasticity eigenproblem

Lepe F.; Meddahi S.; Mora D.; Rodríguez R.

Article ISI SCOPUS
NUMERISCHE MATHEMATIK  (2019)

Acoustic vibration problem for dissipative fluids

Felipe Lepe, Salim Meddahi; David Mora, Rodolfo Rodríguez

Article
MATHEMATICS OF COMPUTATION  (2018)

Finite Element Analysis of a Bending Moment Formulation for the Vibration Problem of a Non-homogeneous Timoshenko Beam

Lepe F.; Mora, D; Rodriguez, R

Article ISI SCOPUS
JOURNAL OF SCIENTIFIC COMPUTING  (2016)

Locking-free finite element method for a bending moment formulation of Timoshenko beams

Lepe F.; Mora, D; Rodriguez, R

Article ISI SCOPUS
COMPUTERS & MATHEMATICS WITH APPLICATIONS  (2014)

Interior penalty discontinuous Galerkin methods for the velocity-pressure formulation of the Stokes spectral problem.

Felipe Lepe

Article
ADVANCES IN COMPUTATIONAL MATHEMATICS  

17
Felipe Lepe

Assistant Professor

Mathematics

Universidad del Bío-Bío

Concepción, Chile

7
Gonzalo Rivera

Académico

Ciencias Exactas

Universidad de Los Lagos

Osorno, Chile

5
David Mora

Associate Professor

Department of Mathematics

UNIVERSIDAD DEL BIO-BIO

CONCEPCION, Chile

3
Rodolfo Rodriguez

Full Professor

Ingeniería Matemática

UNIVERSIDAD DE CONCEPCION

Concepción, Chile

2
Jesus Vellojin