| Fully computable a posteriori error bounds for stabilised FEM approximations of convection–reaction–diffusion problems in three dimensions M Ainsworth, A Allendes, GR Barrenechea, R Rankin International Journal for Numerical Methods in Fluids 73 (9), 765-790, 2013 | 43 | 2013 |
| A divergence-free low-order stabilized finite element method for a generalized steady state Boussinesq problem A Allendes, GR Barrenechea, C Naranjo Computer Methods in Applied Mechanics and Engineering 340, 90-120, 2018 | 26 | 2018 |
| A posteriori error estimates for the Stokes problem with singular sources A Allendes, E Otárola, AJ Salgado Computer Methods in Applied Mechanics and Engineering 345, 1007-1032, 2019 | 25 | 2019 |
| On the adaptive selection of the parameter in stabilized finite element approximations M Ainsworth, A Allendes, GR Barrenechea, R Rankin SIAM Journal on Numerical Analysis 51 (3), 1585-1609, 2013 | 24 | 2013 |
| Stabilized finite element approximations for a generalized Boussinesq problem: a posteriori error analysis A Allendes, C Naranjo, E Otárola Computer Methods in Applied Mechanics and Engineering 361, 112703, 2020 | 19 | 2020 |
| Adaptive finite element methods for an optimal control problem involving Dirac measures A Allendes, E Otarola, R Rankin, AJ Salgado Numerische Mathematik 137 (1), 159-197, 2017 | 18 | 2017 |
| Fully computable error estimation of a nonlinear, positivity-preserving discretization of the convection-diffusion-reaction equation A Allendes, GR Barrenechea, R Rankin SIAM Journal on Scientific Computing 39 (5), A1903-A1927, 2017 | 14 | 2017 |
| Multiplicity results for extremal operators through bifurcation A Quaas, A Allendes Discrete Contin. Dyn. Syst 29 (1), 51-65, 2011 | 14 | 2011 |
| Error estimation for low-order adaptive finite element approximations for fluid flow problems A Allendes, F Durán, R Rankin IMA Journal of Numerical Analysis 36 (4), 1715-1747, 2016 | 13 | 2016 |
| Computable error bounds for nonconforming Fortin–Soulie finite element approximation of the Stokes problem M Ainsworth, A Allendes, GR Barrenechea, R Rankin IMA Journal of Numerical Analysis 32 (2), 417-447, 2012 | 13 | 2012 |
| A Posteriori Error Estimates for the Stationary Navier--Stokes Equations with Dirac Measures A Allendes, E Otárola, AJ Salgado SIAM Journal on Scientific Computing 42 (3), A1860-A1884, 2020 | 12 | 2020 |
| Adaptive finite element methods for sparse PDE-constrained optimization A Allendes, F Fuica, E Otárola IMA Journal of Numerical Analysis 40 (3), 2106-2142, 2020 | 10 | 2020 |
| An adaptive FEM for the pointwise tracking optimal control problem of the Stokes equations A Allendes, F Fuica, E Otárola, D Quero SIAM Journal on Scientific Computing 41 (5), A2967-A2998, 2019 | 10 | 2019 |
| The stationary Boussinesq problem under singular forcing A Allendes, E Otárola, AJ Salgado Mathematical Models and Methods in Applied Sciences 31 (04), 789-827, 2021 | 9 | 2021 |
| A Divergence-Free Stabilized Finite Element Method for the Evolutionary Navier--Stokes Equations A Allendes, GR Barrenechea, J Novo SIAM Journal on Scientific Computing 43 (6), A3809-A3836, 2021 | 8 | 2021 |
| A two-level enriched finite element method for a mixed problem A Allendes, G Barrenechea, E Hernández, F Valentin Mathematics of computation 80 (273), 11-41, 2011 | 8 | 2011 |
| Darcy’s problem coupled with the heat equation under singular forcing: analysis and discretization A Allendes, G Campaña, F Fuica, E Otárola IMA Journal of Numerical Analysis, drad094, 2024 | 6 | 2024 |
| An a posteriori error analysis for an optimal control problem with point sources A Allendes, E Otárola, R Rankin, AJ Salgado ESAIM: Mathematical Modelling and Numerical Analysis 52 (5), 1617-1650, 2018 | 6 | 2018 |
| Numerical discretization of a Darcy-Forchheimer problem coupled with a singular heat equation A Allendes, G Campaña, E Otárola SIAM Journal on Scientific Computing 45 (5), A2755-A2780, 2023 | 5 | 2023 |
| Error estimates for a pointwise tracking optimal control problem of a semilinear elliptic equation A Allendes, F Fuica, E Otarola SIAM Journal on Control and Optimization 60 (3), 1763-1790, 2022 | 5 | 2022 |
