PREPRINTS

  • Alejandro Allendes, Enrique Otárola, Richard Rankin and Abner Salgado, Maximum-norm a posteriori error estimates for an optimal control problem, submitted to Computational Optimization and Applications, 2017.
  • Alejandro Allendes, Enrique Otárola and  Richard Rankin, A posteriori error estimation for finite element approximations of a PDE–constrained optimization problem in fluid dynamics, submitted to SIAM Journal of Scientific Computing, 2017. Link
  • Alejandro Allendes, Enrique Otárola, Richard Rankin and Abner Salgado, An a posteriori error analysis for an optimal control problem with point sources, submitted to ESAIM: Mathematical Modelling and Numerical Analysis, 2017. Link
  • Alejandro Allendes, Enrique Otárola and Richard Rankin, Fully computable error estimation for stabilized AFEM approximations of optimal control problems, submitted to SIAM Journal on Control and Optimization, 2016. 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 to Mathematical Analysis and Applications, 2016. Link
  • Alejandro Allendes, Abner Poza and Richard Rankin, An adaptive stabilized method for the Navier–Stokes equations in three dimensions, submitted to Journal of Computational and Applied Mathematics, 2015. Link

 

PUBLICATIONS

  • Alejandro Allendes, Gabriel R. Barrenechea and Richard Rankin, Fully computable error estimation of a nonlinear, positivity-preserving, discretization of the convection-diffusion-reaction equation, accepted for publication in SIAM Journal on Scientific Computing, 2017. Link
  • Alejandro Allendes, Enrique Otárola, Richard Rankin and Abner Salgado, Adaptive finite element methods for an optimal control problem involving Dirac measures, accepted for publication in Numerische Mathematik, 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