PREPRINTS

  • Alejandro Allendes, Francisco Fuica and Enrique Otárola, Adaptive finite element methods for sparse PDE-constrained optimization, submitted 2018.
  • Alejandro Allendes and Esteban Cortés, Fully computable a posteriori error bounds for stabilized FEM approximations of non stationary convection-reaction-diffusion problems,  submitted 2017.
  •  Alejandro Allendes, Enrique Otárola and Abner Salgado, A posteriori error estimates for the Stokes problem with singular sources, submitted 2017. Link
  • Alejandro Allendes, Gilberto Campaña and Erwin Hernández, Pointwise error estimations for a generalized Oseen problem and its application to an optimal control problem, submitted 2017. Link

 

PUBLICATIONS

  • Alejandro Allendes, Enrique Otárola and Richard Rankin, Fully computable error estimation for stabilized AFEM approximations of optimal control problems, accepted for publication in Computer Methods in Applied Mechanics and Engineering, 2018.
  • Alejandro Allendes, Gabriel R. Barrenechea and Cesar Naranjo, A divergence-free low-order stabilized finite element approximation for the steady state Boussinesq problem, accepted for publication in Computer Methods in Applied Mechanics and Engineering, 2018.
  • Alejandro Allendes, Enrique Otárola and  Richard Rankin, A posteriori error estimation for finite element approximations of a PDE–constrained optimization problem in fluid dynamics, accepted for publication in SIAM Journal on Scientific Computing, 2018. Link
  • Alejandro Allendes, Enrique Otárola, Richard Rankin and Abner Salgado, An a posteriori error analysis for an optimal control problem with Dirac measures, accepted for publication in ESAIM: Mathematical Modelling and Numerical Analysis, DOI: https://doi.org/10.1007/s10915-018-0703, 2018.
  • Alejandro Allendes, Gabriel R. Barrenechea and Richard Rankin, Fully computable error estimation of a nonlinear, positivity-preserving, discretization of the convection-diffusion-reaction equation, SIAM Journal on Scientific Computing, 39(5), A1903-A1927, 2017. Link
  • Alejandro Allendes, Enrique Otárola, Richard Rankin and Abner Salgado, Adaptive finite element methods for an optimal control problem involving Dirac measures, Numerische Mathematik, 137(1), 159-197, 2017. Link
  • Alejandro Allendes, Enrique Otarola and 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. Link
  • Alejandro Allendes, Francisco Durán and Richard Rankin, Error estimation for low-order adaptive finite element approximations for some fluid flow problems, IMA Journal of Numerical Analysis, Vol. 36, No. 4, pp: 1715-1747 , 2016. Link
  • Mark Ainsworth, Alejandro Allendes, Gabriel R. Barrenechea and Richard Rankin, Fully computable a posteriori error bounds for stabilized FEM approximations of convection-reaction-diffusion problems in three dimensions, International Journal for Numerical Methods in Fluids, Vol. 73, No. 9, pp:765–790, 2013. Link
  • Mark Ainsworth, Alejandro Allendes, Gabriel R. Barrenechea and 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. Link
  • Mark Ainsworth, Alejandro Allendes, Gabriel R. Barrenechea and 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. Link
  • 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. Link
  • Alejandro Allendes and Alexander Quaas, Multiplicity results for extremal operators trough bifurcation, Discrete and Continuous Dynamical Systems – Series A, Vol. 29, No. 1, pp: 51–65, 2011. Link