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Felipe Andrés Lepe Araya

Assistant Professor

Universidad del Bío-Bío

Concepción, Chile

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.

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

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 - At present

Post-doct Full Time

Universidad Técnica Federico Santa María

Santiago, Chile

2019 - 2020
Assistant professor Full Time

Universidad del Bío-Bío

Concepción, Chile

2020 - At present


A posteriori virtual element method for the acoustic vibration problem 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. Otarola, Enrique Article JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS (2023)
Displacement-pseudostress formulation for the linear elasticity spectral problem Article ISI NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS (2023)
Error estimates for a vorticity-based velocity-stress formulation of the Stokes eigenvalue problem Article ISI JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS (2023)
A Posteriori Analysis for a Mixed FEM Discretization of the Linear Elasticity Spectral Problem Article ISI JOURNAL OF SCIENTIFIC COMPUTING (2022)
Mixed Methods for the Velocity-Pressure-Pseudostress Formulation of the Stokes Eigenvalue Problem Lepe, Felipe Article SIAM JOURNAL ON SCIENTIFIC COMPUTING (2022)
A posteriori error estimates in W1,p × Lp spaces for the Stokes system with Dirac measures Lepe, Felipe Article COMPUTERS AND MATHEMATICS WITH APPLICATIONS (2021)
A priori error analysis for a mixed VEM discretization of the spectral problem for the Laplacian operator Article ISI CALCOLO (2021)
A virtual element approximation for the pseudostress formulation of the Stokes eigenvalue problem Lepe, Felipe Article ISI COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2021)
A Virtual Element Method for the Steklov Eigenvalue Problem Allowing Small Edges Lepe, Felipe Article ISI JOURNAL OF SCIENTIFIC COMPUTING (2021)
Error Estimates for FEM Discretizations of the Navier–Stokes Equations with Dirac Measures Otarola, Enrique Article JOURNAL OF SCIENTIFIC COMPUTING (2021)
Symmetric and Nonsymmetric Discontinuous Galerkin Methods for a Pseudostress Formulation of the Stokes Spectral Problem Lepe, Felipe Article ISI SIAM Journal on Scientific Computing (2020)
Mixed discontinuous Galerkin approximation of the elasticity eigenproblem 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

Felipe Lepe

Assistant Professor

Mathematics

Universidad del Bío-Bío

Concepción, Chile

Gonzalo Rivera

Académico

Ciencias Exactas

Universidad de Los Lagos

Osorno, Chile

David Mora

Associate Professor

Department of Mathematics

UNIVERSIDAD DEL BIO-BIO

CONCEPCION, Chile

Rodolfo Rodriguez

Full Professor

Ingeniería Matemática

UNIVERSIDAD DE CONCEPCION

Concepción, Chile

Felipe Andrés Lepe Araya

Líneas de Investigación

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

Post doctoral position Full Time

Assistant Professor Full Time

Experiencia Profesional

Post-doct Full Time

Assistant professor Full Time

Article (18)

A posteriori virtual element method for the acoustic vibration problem

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

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

Displacement-pseudostress formulation for the linear elasticity spectral problem

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

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

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

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

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

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

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

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

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

Mixed discontinuous Galerkin approximation of the elasticity eigenproblem

Acoustic vibration problem for dissipative fluids

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

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

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

Felipe Lepe

Gonzalo Rivera

David Mora

Rodolfo Rodriguez

Jesus Vellojin