Publications - Accepted for publication

1. Alejandro Allendes, Gabriel Barrenechea and Julia Novo, A divergence-free low-order stabilised finite element method for the evolutionary Navier-Stokes equations, SIAM Journal of Scientific Computing , 2021.
2. Alejandro Allendes, Francisco Fuica, Enrique Otárola and Daniel Quero, A posteriori error estimates for semilinear optimal control problems, ESAIM: Mathematical Modelling and Numerical Analysis , 2021.
3. Alejandro Allendes, Francisco Fuica, Enrique Otárola and Daniel Quero, A posteriori error estimates for a distributed optimal control problem for the stationary Navier-Stokes equations, SIAM Journal of Control and Optimization , Vol. 59(4), 2898-2923, 2021.
4. Alejandro Allendes, Enrique Otárola and Abner J. Salgado, The stationary Boussinesq problem under singular forcing, Mathematical Models and Methods in Applied Sciences (M3AS) , Vol: 31 No. 04, pp. 789-827, 2020.
5. Alejandro Allendes, Enrique Otárola and Abner J. Salgado, A posteriori error estimates for the two dimensional stationary Navier Stokes equations with Dirac measures, SIAM Journal on Scientific Computing , 42(3), A1860-A1884, 2020.
6. Alejandro Allendes, Francisco Fuica and Enrique Otárola, Adaptive finite element methods for sparse PDE-constrained optimization, IMA Journal of Numerical Analysis , 40(3), 2106-2142, 2020.
7. Alejandro Allendes, César Naranjo and Enrique 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.
8. Alejandro Allendes, Francisco Fuica, Daniel Quero and Enrique Otárola, An Adaptive FEM for the Pointwise Tracking Optimal Control Problem of the Stokes Equations, SIAM Journal on Scientific Computing , Vol. 41; Issue 5; pp A2967-A2998, 2019.
9. Alejandro Allendes, Gilberto Campaña and 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.
10. Alejandro Allendes, Enrique Otárola and Abner Salgado, A posteriori error estimates for the Stokes problem with singular sources, Computer Methods in Applied Mechanics and Engineering , 345, 1007-1032, 2019.
11. Alejandro Allendes, Enrique Otárola, Richard Rankin and Abner Salgado, An a posteriori error analysis for an optimal control problem with point sources, ESAIM: Mathematical Modelling and Numerical Analysis, 52(5), 1617-1650, 2018. Link
12. 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
13. 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
14. 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.
15. 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.
16. 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.
17. 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.
18. 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.
19. 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.
20. 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.
21. 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.
22. 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.
23. 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.