IN PREPARATION

  1. Alejandro Allendes, Gabriel Barrenechea, César Naranjo and Enrique Otárola, Stabilized finite element approximation for a generalized Boussinesq problem: a posteriori error analysis.
  2. Alejandro Allendes, Gabriel Barrenechea and Julia Novo, A divergence-free low-order stabilized finite element method for the evolutionary Navier-Stokes equations.

PREPRINTS

  1. Alejandro Allendes, Francisco Fuica, Daniel Quero and Enrique Otárola, Adaptive finite element methods for the pointwise tracking optimal control problem of the Stokes equations, submitted 2018.
  2. Alejandro Allendes, Francisco Fuica and Enrique Otárola, Adaptive finite element methods for sparse PDE-constrained optimization, submitted 2018.
  3. Alejandro Allendes and Esteban Cortés, Fully computable a posteriori error bounds for stabilized FEM approximations of non stationary convection-reaction-diffusion problems, submitted 2017.
  4. 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.

 

PUBLICATIONS OR ACCEPTED FOR PUBLICATION

  1. Alejandro Allendes, Enrique Otárola  and Abner Salgado, Alejandro Allendes, Enrique Otárola and Abner Salgado, A posteriori error estimates for the Stokes problem with singular sources, accepted for publication in Computer Methods in Applied Mechanics and Engineering, 2018.
  2. Alejandro Allendes, Enrique Otárola, Richard Rankin and Abner Salgado, An a posteriori error analysis for an optimal control problem with point sources, accepted for publication in ESAIM: Mathematical Modelling and Numerical Analysis, 2018.
  3. Alejandro Allendes, Enrique Otárola and Richard Rankin, A posteriori error estimation for a PDE-constrained optimization problem involving the generalized Oseen equations, SIAM Journal on Scientific Computing, Vol. 40: Issue 4; p.p. AA2200–AA2233, 2018. Link
  4. Alejandro Allendes, Enrique Otárola and Richard Rankin, A posteriori error estimators for stabilized finite element approximations of an optimal control problem, Computer Methods in Applied Mechanics and Engineering, Vol. 340; p.p 147–177, 2018. Link
  5. Alejandro Allendes, Gabriel R. Barrenechea and Cesar Naranjo, A divergence-free low-order stabilized finite element approximation for the steady state Boussinesq problem, Computer Methods in Applied Mechanics and Engineering, Vol. 340; p.p. 90–120, 2018. Link
  6. Alejandro Allendes, Gabriel 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
  7. Alejandro Allendes, Enrique Otárola, Richard Rankin and Abner Salgado, Adaptive finite element methods for an optimal control problem involving Dirac measures, Numerische Mathematik, d137(1), 159–197, 2017. Link
  8. 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
  9. 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
  10. 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
  11. 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
  12. 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
  13. 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
  14. 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