Alejandro Allendes Flores

Encargado de Laboratorios

Línea de Investigación:

Análisis Numérico

Información:

  • Grado Académico: Ph.D University of Strathclyde (Escocia)
  • Título Profesional: Ingeniero Civil Matemático, Universidad Técnica Federico Santa María
  • Campus: Casa Central
  • Horario de consulta: Lunes de 09:40 a 10:50 hrs.
  • Email: alejandro.allendes@usm.cl
  • Sitio Web

Publicaciones Recientes

Núm. Autores Artículo Revista Año
27

A. Allendes, G. Campana, E. Otarola

Finite Element Discretizations of a Convective Brinkman–Forchheimer Model Under Singular Forcing

Journal of Scientific Computing, 99, Article Number 58

2024
26

A. Allendes, G. Campana, E. Otarola, and A. J. Salgado

The linear elasticity system under singular forces

Applied Mathematics Letters, Article 158, 109258, 2024

2024
25

A. Allendes, G. Campaña, E. Otárola

Numerical Discretization of a Darcy-Forchheimer Problem Coupled with a Singular Heat Equation

SIAM Journal on Scientific Computing, 44(5), A2755-A2780, 2023.

 

2023
24

A. Allendes, E. Otárola, F. Fuica

Error Estimates for a Pointwise Tracking Optimal Control Problem of a Semilinear Elliptic Equation

SIAM J. Control Optim. 60 (3), 1763–1790, 2022.

2022
23

A. Allendes, G. Barrenechea, J. Novo.

A Divergence-Free Stabilized Finite Element Method for the Evolutionary Navier–Stokes Equations

SIAM Journal on Scientific Computing, 43, (6), A3809-A3836, (2021).

2021
22

A. Allendes, E. Otárola, F. Fuica, D. Quero.

A posteriori error estimates for semilinear optimal control problems

ESAIM. Mathematical Modelling and Numerical Analysis, 55, (5), 2293-2322, (2021).

2021
21

A. Allendes, F. Fuica, E. Otárola, D. Quero

A Posteriori Error Estimates for a Distributed Optimal Control Problem of the Stationary Navier–Stokes Equations

SIAM Journal on Control and Optimization, 59, (4), 2898-2923, (2021).

2021
20

A. Allendes, E. Otárola, A. Salgado.

The stationary Boussinesq problem under singular forcing

Mathematical Models and Methods in Applied Sciences, 31, (4), 789-827, (2021).

2021
19

A. Allendes, C. Naranjo, and E. Otárola

Stabilized finite element approximations for a generalized Boussinesq problem: a posteriori error analysis

Computer Methods in Applied Mechanics and Engineering, 361, Article 112703, 2020.

2020
18

A. Allendes, E. Otárola, A. J. Salgado

A posteriori error estimates for the stationary Navier–Stokes equations with Dirac measures.

SIAM J. Sci. Comput., 42(3), A1860–A1884; June 2020.

2020
17

A. Allendes, F. Fuica, and E. Otarola

Adaptive finite element methods for sparse PDE-constrained optimization

IMA Journal of Numerical Analysis, Vol 40(3), pp. 2106-2142, July 2020.

2020
16

A. Allendes, E. Otarola, A. J. Salgado

A posteriori error estimates for the Stokes problem with singular sources

Computer Methods in Applied Mechanics and Engineering; Vol. 345, pp. 1007 – 1032; Mar. 2019.

2019
15

Alejandro Allendes, Gilberto Campaña, Erwin Hernández

Pointwise error estimations for a generalized Oseen problem and its application to an optimal control problem

Mathematical Methods in the Applied Sciences, 42, no. 10, 3549-3567, 2019

2019
14
A. Allendes, F. Fuica, E. Otárola, D. Quero
An adaptive FEM for the pointwise tracking optimal control problem of the Stokes equations

SIAM Journal on Scientific Computing; Vol 41(5), A2967–A2998

2019
13

A. Allendes, C. Naranjo, G. Barrenechea

A divergence-free low-order stabilized finite element method for a generalized steady state Boussinesq problem

Computer Methods in Applied Mechanics and Engineering, Vol. 340, pp. 90-120, Oct. 2018.

2018
12

A. Allendes, E. Otárola, R. Rankin

A posteriori error estimation for a PDE-constrained optimization problem involving the generalized Oseen equations

SIAM Journal on Scientific Computing, Vol. 40(4), pp. A2200–A2233; Jul. 2018

2018
11

A. Allendes, E. Otárola, R. Rankin

A posteriori error estimators for stabilized finite element approximations of an optimal control problem

Computer Methods in Applied Mechanics and Engineering, Vol. 340, pp. 147–177; Oct. 2018

2018
10

A. Allendes, E. Otárola, R. Rankin, A. Salgado

An a posteriori error analysis for an optimal control problem with point sources

ESAIM: Mathematical Modelling and Numerical Analysis; Vol. 52 (5), pp. 1617-1650; Nov. 2018

2018
9

E. Otárola, A. Allendes, R. Rankin, A.J. Salgado

Adaptive finite element methods for an optimal control problem involving Dirac measures

Numerische Mathematik; Vol. 137(1), pp. 159-197; Sep. 2017

2017
8

A. Allendes, G. Barrenechea, R. Rankin

Fully Computable Error Estimation of a Nonlinear, Positivity-Preserving Discretization of the Convection-Diffusion-Reaction Equation

SIAM Journal on Scientific Computing; Vol. 39(5), pp. A1903-A1927; Sep. 12, 2017

2017
7

A. Allendes, F. Durán, R. Rankin

Error estimation for low-order adaptive finite element approximations for fluid flow problems

IMA Journal of Numerical Analysis; Vol. 36(4), pp. 1715-1747; Oct. 2016

2016
6

Alejandro Allendes, Enrique Otarola, Erwin Hernández

A robust numerical method for a control problem of singularly perturbed equations

Computer and Mathematics with Applications. An International Journal, Vol. 72, No. 4, pp: 974–991, 2016

2016
5

Mark Ainsworth, Alejandro Allendes, Gabriel R. Barrenechea, Richard Rankin

On the adaptive selection of the parameter in stabilized finite element approximations

SIAM Journal on Numerical Analysis, Vol. 51, No. 3, pp: 1585–1609, 2013

2013
4

Mark Ainsworth, Alejandro Allendes, Gabriel R. Barrenechea, Richard Rankin

Fully computable a posteriori error bounds for stabilized FEM approximations of convection-reactiondiffusion problems in three dimensions

International Journal for Numerical Methods in Fluids, Vol. 73, No. 9, pp:765–790, 2013.

2013
3

Mark Ainsworth, Alejandro Allendes, Gabriel R. Barrenechea, Richard Rankin

Computable error bounds for nonconforming Fortin–Soulie finite element approximation of the Stokes problem

IMA Journal of Numerical Analysis, Vol. 32, No. 2, pp: 417–447, 2012.

2012
2

Alejandro Allendes, Alexander Quaas

Multiplicity results for extremal operators trough bifurcation

Discrete and Continuous Dynamical Systems – Series A, Vol. 29, No. 1, pp: 51–65, 2011

2011
1

Alejandro Allendes, Gabriel R. Barrenechea, Erwin Hernández and Frédéric Valentin

A two-level enriched finite element method for a mixed problem

Mathematics of Computation, Vol. 80, No. 273, pp: 11–41, 2011.

2011

Proyectos Vigentes

Programa Nombre Proyecto Periodo
FONDECYT REGULAR 1210729 Adaptive finite element methods for linear and nonlinear PDEs under Dirac measures 2021 - 2025